tag:blogger.com,1999:blog-24866227820851772642024-02-19T08:55:48.163-08:00ΣΟΣ ΓΙΑ ΕΞΕΤΑΣΕΙΣΙΩΑΝΝΑ ΚΙΑΜΙΛΗhttp://www.blogger.com/profile/18290308512440353255noreply@blogger.comBlogger9125tag:blogger.com,1999:blog-2486622782085177264.post-44185553471402736752014-03-24T07:48:00.001-07:002014-03-24T07:48:42.929-07:00ΣΟΣ 4ο ΘΕΜΑ ΦΥΣΙΚΗ ΚΑΤΕΥΘΥΝΣΗΣ Γ ΛΥΚΕΙΟΥ 2014
<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgEul_Lpe-f2dWK2hEf5gX9m7oayoE5TwwdfM8ePjFOD6T9xM_NCwTMAIm_YRPGPQ2ISFHTuekNsVE6Wa-iB8nX0MYKnlNd0N71TTxxxDbCCMXdDd0mCjoWoX03ognGVuSD40EpXcqP5sny/s1600/0000011111111.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgEul_Lpe-f2dWK2hEf5gX9m7oayoE5TwwdfM8ePjFOD6T9xM_NCwTMAIm_YRPGPQ2ISFHTuekNsVE6Wa-iB8nX0MYKnlNd0N71TTxxxDbCCMXdDd0mCjoWoX03ognGVuSD40EpXcqP5sny/s320/0000011111111.jpg" /></a></div>
. Ένα σύστημα διπλής τροχαλίας αποτελείται από δύο ομογενείς λεπτούς δίσκους Α και Β με ακτίνες και αντίστοιχα. Το σύστημα μπορεί να περιστρέφεται γύρω από οριζόντιο σταθερό άξονα, που περνά από το κέντρο του και είναι κάθετος στο επίπεδό του. Ο άξονας αυτός, αποτελεί μέρος άρθρωσης, με την οποία το σύστημα είναι στερεωμένο ακλόνητα στην οροφή, όπως φαίνεται στο σχήμα. Γύρω από τους δίσκους είναι τυλιγμένα αβαρή νήματα, τα οποία δεν ολισθαίνουν πάνω στους δίσκους. Στις ελεύθερες άκρες των νημάτων των τροχαλιών Α και Β έχουν δεθεί σώματα , , με μάζες και αντίστοιχα. Το σώμα βρίσκεται πάνω σε λείο οριζόντιο επίπεδο. Τη χρονική στιγμή το σύστημα αφήνεται ελεύθερο να κινηθεί.
α) Να σχεδιάσετε τις δυνάμεις που ασκούνται στη διπλή τροχαλία και στα σώματα , .
β) Να γράψετε και να εφαρμόσετε το θεμελιώδη νόμο στροφικής κίνησης για την τροχαλία και το θεμελιώδη νόμο της μηχανικής για τη μεταφορική κίνηση των σωμάτων , .(Δε ζητείται αριθμητική αντικατάσταση)
γ) Να βρείτε τις σχέσεις που συνδέουν τη γωνιακή επιτάχυνση της τροχαλίας με τις μεταφορικές επιταχύνσεις των σωμάτων , .
δ) Να υπολογίσετε το μέτρο της γωνιακής επιτάχυνσης της διπλής τροχαλίας και να δείξετε την κατεύθυνσή της στο σχήμα.
Η ροπή αδράνειας της διπλής τροχαλίας ως προς τον άξονα περιστροφής της είναι . Δίνεται: .
ΙΩΑΝΝΑ ΚΙΑΜΙΛΗhttp://www.blogger.com/profile/18290308512440353255noreply@blogger.com0tag:blogger.com,1999:blog-2486622782085177264.post-7884680333344084372014-03-12T14:51:00.002-07:002014-03-12T14:51:19.280-07:00σος θέματα έκθεσης 2014<div dir="ltr" style="text-align: left;" trbidi="on">
σος θέματα έκθεσης 2014
σος <a href="http://physics.yooblog.gr/2011/05/10/512/" target="_blank">θέμα</a><br />
<a href="http://physics.yooblog.gr/2011/05/10/512/"></a></div>
θεματα sos πανελληνιες 2014
SOS (ΣΟΣ) ΘΕΜΑΤΑ ΓΙΑ ΤΙΣ ΠΑΝΕΛΛΗΝΙΕΣ
Προτεινόμενα θέματα Πανελληνίων Εξετάσεων
SOS (ΣΟΣ) ΘΕΜΑΤΑ ΓΙΑ ΤΙΣ ΠΑΝΕΛΛΗΝΙΕΣ
Προτεινόμενα θέματα Πανελληνίων Εξετάσεων
θέματα πανελληνίων εξετάσεων
θεματα sos πανελληνιες 2014
SOS (ΣΟΣ) ΘΕΜΑΤΑ ΓΙΑ ΤΙΣ ΠΑΝΕΛΛΗΝΙΕΣ
Προτεινόμενα θέματα Πανελληνίων Εξετάσεων
SOS (ΣΟΣ) ΘΕΜΑΤΑ ΓΙΑ ΤΙΣ ΠΑΝΕΛΛΗΝΙΕΣ
Προτεινόμενα θέματα Πανελληνίων Εξετάσεων
θέματα πανελληνίων εξετάσεων
θεματα sos πανελληνιες 2014
SOS (ΣΟΣ) ΘΕΜΑΤΑ ΓΙΑ ΤΙΣ ΠΑΝΕΛΛΗΝΙΕΣ
Προτεινόμενα θέματα Πανελληνίων Εξετάσεων
SOS (ΣΟΣ) ΘΕΜΑΤΑ ΓΙΑ ΤΙΣ ΠΑΝΕΛΛΗΝΙΕΣ
Προτεινόμενα θέματα Πανελληνίων Εξετάσεων
θέματα πανελληνίων εξετάσεων
ΙΩΑΝΝΑ ΚΙΑΜΙΛΗhttp://www.blogger.com/profile/18290308512440353255noreply@blogger.com0tag:blogger.com,1999:blog-2486622782085177264.post-32787152683335892522014-03-11T10:01:00.000-07:002014-03-11T10:01:35.322-07:00Α’ ΛΥΚΕΙΟΥ ΘΡΗΣΚΕΥΤΙΚΑ ΣΟΣ ΘΕΜΑΤΑ ΕΞΕΤΑΣΕΙΣ 2014ΣΟΣ ΘΕΜΑΤΑ ΓΙΑ ΤΙΣ ΕΞΕΤΑΣΕΙΣ 2013
Α’ ΛΥΚΕΙΟΥ ΘΡΗΣΚΕΥΤΙΚΑ ΣΟΣ ΘΕΜΑΤΑ ΓΙΑ ΤΙΣ ΕΞΕΤΑΣΕΙΣ 2014
ΓΡΑΠΤΕΣ ΠΡΟΑΓΩΓΙΚΕΣ ΕΞΕΤΑΣΕΙΣ ΠΕΡΙΟΔΟΥ ΜΑΙΟΥ – ΙΟΥΝΙΟΥ
Α’ ΛΥΚΕΙΟΥ ΘΡΗΣΚΕΥΤΙΚΑ ΣΟΣ ΘΕΜΑΤΑ ΓΙΑ ΤΙΣ ΕΞΕΤΑΣΕΙΣ 2014
SOS θεματα 2014
Α’ ΛΥΚΕΙΟΥ ΘΡΗΣΚΕΥΤΙΚΑ ΣΟΣ ΘΕΜΑΤΑ ΓΙΑ ΤΙΣ ΕΞΕΤΑΣΕΙΣ 2014
Α’ ΛΥΚΕΙΟΥ ΘΡΗΣΚΕΥΤΙΚΑ ΣΟΣ ΘΕΜΑΤΑ ΓΙΑ ΤΙΣ ΕΞΕΤΑΣΕΙΣ 2014
ΣΤΟ ΜΑΘΗΜΑ ΤΩΝ ΘΡΗΣΚΕΥΤΙΚΩΝ
ΤΑΞΗ : Α΄ ΛΥΚΕΙΟΥ
ΘΡΗΣΚΕΥΤΙΚΑ ΣΟΣ ΘΕΜΑΤΑ ΓΙΑ ΤΙΣ ΕΞΕΤΑΣΕΙΣ
ΓΡΑΠΤΕΣ ΠΡΟΑΓΩΓΙΚΕΣ ΕΞΕΤΑΣΕΙΣ ΠΕΡΙΟΔΟΥ ΜΑΙΟΥ – ΙΟΥΝΙΟΥ
ΣΤΟ ΜΑΘΗΜΑ ΤΩΝ ΘΡΗΣΚΕΥΤΙΚΩΝ
ΤΑΞΗ : Α΄ ΛΥΚΕΙΟΥ
ΘΕΜΑΤΑ
ΟΜΑΔΑ Α΄. Να βάλετε σε κύκλο τη σωστή απάντηση.
Α1: Θεμέλιο της χριστιανικής λατρείας είναι:
α. ο σαρκωμένος Υιός και Λόγος του Θεού.
β. το πλήρωμα των πιστών.
γ. οι ιερείς που τελούν τη λατρεία.
Μονάδες 10
Α2: Η Θεία ευχαριστία είναι:
α. τα κέντρο της χριστιανικής λατρείας.
β. μία ακολουθία της λατρείας.
γ. μία τελετή προετοιμασίας.
Μονάδες 10
Α3: Τα δόγματα οριοθετούν:
α. την αληθινή πίστη.
β. τα όρια της πίστης.
γ. τα όρια της θεότητας.
Μονάδες 10
Α4: Να χαρακτηρίσετε τις παρακάτω προτάσεις ως σωστές ή λανθασμένες βάζοντας σε κύκλο
το αντίστοιχο γράμμα.
( Σ για το σωστό, Λ για το λάθος )
α. Στις μέρες μας, η λατρεία της Εκκλησίας είναι ίδια με εκείνη της αποστολικής και της
βυζαντινής εποχής. Σ Λ
β. Η θυσία του ΧΡΙΣΤΟΥ επαναλαμβάνεται στη χριστιανική λατρεία. Σ Λ
γ. Στην πατερική συνείδηση ο «κανόνας της προσευχής» ταυτίζεται με Σ Λ
«τον κανόνα της πίστης»
δ. Στη θεία λειτουργία δεν είμαστε μόνοι. Σ Λ
ε. Η σωτηρία μας δεν κρίνεται από τον τρόπο ζωής μας. Σ Λ
στ. Δεν είναι απαραίτητη η πνευματική ζωή να φτάνουμε στη θέωση. Σ Λ
ζ. Στη θεία Λειτουργία συμμετέχουμε ακροώμενοι. Σ Λ
η. Η Ορθόδοξη Εκκλησία δεν λειτουργεί πάντα ως σώμα. Σ Λ
Μονάδες 20
ΟΜΑΔΑ Β΄
Β1: Περιγράψτε, αναλύστε το έργο της Εκκλησίας.
Μονάδες 25
Β2: Γιατί ο Άγιος θεωρείται πρότυπο αληθινού ανθρώπου;
Α’ ΟΜΑΔΑ
1.ΕΡΩΤΗΣΕΙΣ ΑΝΤΙΣΤΟΙΧΙΧΗΣ
Να ενώσετε με μια γραμμή τα στοιχεία της στήλης Α με τα στοιχεία της στήλης Β (Σε
κάθε στοιχείο της στήλης Α αντιστοιχούν δύο στοιχεία της στήλης Β)
1. Ιουδαϊσμός
α. Είναι η αρχαιότερη μονοθεϊστική θρησκεία
2. Ισλάμ
β. Η τήρηση πέντε βασικών καθηκόντων είναι
δυνατόν να δικαιώσουν τον πιστό
3. Ινδουισμός
γ. Είναι ένα σύστημα πολλών θρησκευτικών
διδασκαλιών με μεταφυσικό περιεχόμενο
4. Βουδισμός
δ. Η λύτρωση είναι αποτέλεσμα ψυχολογικών
διεργασιών και ατομικού διαλογισμού
ε. Ιδρυτής της είναι ο Αβραάμ και οι δώδεκα
Πατριάρχες
στ. Είναι η θρησκεία της τυφλής υποταγής
ζ. Ιερά Βιβλία είναι οι Βέδες και οι
Ουπανισάδες
η. Ιδρυτής είναι ο Σιντάρτα Γκαουτάμα
(Μονάδες 8)
2.ΕΡΩΤΗΣΕΙΣ ΕΠΙΛΟΓΗΣ ΚΑΙ ΑΙΤΙΟΛΟΓΗΣΗΣ
1.Η πίστη και η επιστήμη:
α. Είναι έννοιες αντίθετες μεταξύ τους
β. Συνεργάζονται αρμονικά
γ. Η πίστη περιορίζει τη γνώση
2.Το προπατορικό αμάρτημα:
α. Ήταν επιλογή των πρωτόπλαστων να γνωρίσουν το κακό
β. Ήταν σχέδιο του Θεού η ανθρώπινη παρακοή και τιμωρία
γ. Ήταν ανυπακοή των αγγέλων του σκότους
3. Η ζωή της Αγίας Τριάδας
α. Δεν επηρεάζει τη ζωή των ανθρώπων
β. Διαμορφώνει τη ζωή των ανθρώπων
γ. Καταστρέφει τη ζωή των ανθρώπων
4. Η αθεΐα
α. Είναι αξιόμεμπτη
β. Είναι θέμα άγνοιας
γ. Είναι θέμα προσωπικής ελευθερίας και επιλογής
(Μονάδες 16) 3.ΕΡΩΤΗΣΕΙΣ ΣΥΝΤΟΜΗΣ ΑΠΑΝΤΗΣΗΣ 1. Ένα από τα βασικά γνωρίσματα της Ορθοδοξίας είναι η σταυρική αγάπη. Να δώσετε το περιεχόμενο της έννοιας αυτής. 2. Τι διακηρύττουμε όταν λέμε στο σύμβολο της Πίστης «Προσδοκώ ανάστασιν νεκρών» (Μονάδες 26) Β’ ΟΜΑΔΑ ΕΡΩΤΗΣΕΙΣ ΑΝΑΠΤΥΞΗΣ 1. Με ποιο τρόπο ο άνθρωπος μπορεί να αντιμετωπίσει την καθημερινή απογοήτευση και να αποκτήσει μέσα του μόνιμη χαρά; (Μονάδες 25) 2. Ποιές είναι οι συνέπειες στην εργασία από την απομάκρυνση του ανθρώπου από το θεό; (Μονάδες 25) Να απαντήσετε σε όλα τα θέματα.
ΓΡΑΠΤΕΣ ΠΡΟΑΓΩΓΙΚΕΣ ΕΞΕΤΑΣΕΙΣ ΠΕΡΙΟΔΟΥ ΜΑΪΟΥ-ΙΟΥΝΙΟΥ
Α΄ ΤΑΞΗΣ ΓΕΝΙΚΟΥ ΛΥΚΕΙΟΥ
ΟΜΑΔΑ Α
Ερωτήσεις κλειστού ή αντικειμενικού τύπου
1. H λατρευτική προσευχή είναι :
α. μόνο προσευχή των πιστών
β. είναι προσευχή και ομολογία πίστης
γ. είναι μόνο λατρευτικές πράξεις
2. « Καθ’ ομοίωσιν »Θεού σημαίνει :
α. ότι ο άνθρωπος είναι όμοιος με τον Θεό
β. ότι ο άνθρωπος πλάστηκε για να μοιάσει στον Θεό
γ. ότι ο άνθρωπος μοιάζει πνευματικά με τον Θεό
3. Τα Χριστούγεννα καθιερώθηκε να γιορτάζονται στις 25 Δεκεμβρίου :
α. από την πρωτοχρονιάτικη Εκκλησία του πρώτου αιώνα
β. από τον 4ο αιώνα
γ. από τον 8ο αιώνα
4. Αναφορά στο κήρυγμα και στα θαύματα του Χριστού γίνεται κυρίως :
α. στο Αποστολικό ανάγνωσμα
β. στο Ευαγγελικό ανάγνωσμα
γ. στον χερουβικό ύμνο
5. Η παραβολή των δέκα παρθένων θέλει να μας διδάξει ότι πρέπει :
α. να πηγαίνουμε σε γάμους φίλων μας
β. να είμαστε έτοιμοι να δεχτούμε τον Νυμφίο Χριστό κατά την Δευτέρα
παρουσία
γ. να βοηθάμε όσους δεν έχουν το απαραίτητο λάδι τους
6. Η Ορθόδοξη Εκκλησία δίνει μεγαλύτερη βαρύτητα στη γιορτή :
α. των Χριστουγέννων
β. των Θεοφανίων
γ. της Ανάστασης
( Μονάδες : 15 )
Ερωτήσεις του τύπου « Σωστό - Λάθος »
1. Η συμμετοχή στο Πάθος και την Ανάσταση του Χριστού βοηθάει
στην κατανόηση του μυστηρίου της ζωής και του θανάτου
Σ Λ
2. Το μυστήριο της Αγίας Τριάδος μόνο με την λογική το κατανοούμε Σ Λ
3. Τον Ακάθιστο Ύμνο τον ψάλλουμε στην Εκκλησία το Σ Λ Δεκαπενταύγουστο 4. Η διαφύλαξη της πίστης επαφίεται στους κληρικούς της Εκκλησίας Σ Λ 5. Το νερό που εξήλθε από την πλευρά του Χριστού προτύπωνε την Βάπτιση Σ Λ 6. Τη Θεία Ευχαριστία τη συνέστησε ο ίδιος ο Χριστός Σ Λ ( Μονάδες : 15 ) Ερωτήσεις σύντομης απάντησης 1. Πότε γιορτάζουμε την Πεντηκοστή ; 2. Ποιες είναι οι λειτουργικές ιδιαιτερότητες της Μ. Σαρακοστής ονομαστικά ; ( Μονάδες : 20) ΟΜΑΔΑ Β΄ Ερωτήσεις ανάπτυξης 1. Γιατί η Παναγία θεωρείται εκπρόσωπος όλου του ανθρώπινου γένους στο σχέδιο του Θεού για τη σωτηρία της ανθρωπότητας ; 2 Η αντίληψη του Αποστόλου για τις σχέσεις των δύο φύλων μήπως είναι υποτιμητική για την γυναίκα; ( Μονάδες :50 )
ΤΑΞΗ: Α’
ΜΑΘΗΜΑ : ΘΡΗΣΚΕΥΤΙΚΑ
ΠΡΟΑΓΩΓΙΚΕΣ ΕΞΕΤΑΣΕΙΣ ΠΕΡΙΟΔΟΥ ΜΑΪΟΥ-ΙΟΥΝΙΟΥ
ΘΕΜΑΤΑ
ΟΜΑΔΑ Α’
Α) Να απαντήσετε σύντομα στις παρακάτω ερωτήσεις:
1) Τι είναι και τι συμβολίζουν η Μικρή και η Μεγάλη
Είσοδος στη Θεία Λειτουργία;
2) Ποια είναι η διδασκαλία της Θρησκευτικής Οργάνωσης
Μάρτυρες του Ιεχωβά;
Μονάδες 30
Β) Να χαρακτηρίσετε τις παρακάτω προτάσεις με τη λέξη
Σωστό ή Λάθος:
1) Η Χριστιανική Λατρεία χαρακτηρίζεται ως
μυσταγωγική, αναγωγική, πνευματική και λογική.
2) Οι Άγγελοι είναι τρεις: ο Μιχαήλ, ο Γαβριήλ και ο
Ραφαήλ.
3) Οι αιρετικοί δίδασκαν ότι ο Θεός είναι μία Ουσία,
αλλά έχει τρία Θεία Πρόσωπα.
4) Χωρίς τη συμβολή της Θεοτόκου το σχέδιο του Θεού
για τη σωτηρία του ανθρώπου θα ήταν αδύνατο να
πραγματοποιηθεί.
5) Οι λαϊκοί στη Θεία Λειτουργία είναι μόνο
«παρακολουθούντες» και όχι «συνεπιτελούντες».
6) Στην ακολουθία του Βαπτίσματος, είναι
ενσωματωμένο και το μυστήριο του Χρίσματος.
7) Το τμήμα της Θείας Λειτουργίας που ακολουθεί μετά
τοΣύμβολο της Πίστεως ονομάζεται Αγία Αναφορά.
8) Κατ’ εικόνα είναι η δυνατότητα που έχει ο άνθρωπος
να μοιάσει στο Θεό.
9) Με το μυστήριο της Μετάνοιας ο άνθρωπος
ξαναβρίσκει το χαμένο του εαυτό.
10) Δεν είναι ασυμβίβαστη η ιδιότητα του δικαστικού
και του μασόνου.
Μονάδες 20
Γ) Να βάλετε στη σωστή σειρά τα μέρη της Θείας
Λειτουργίας:
Ευαγγέλιο, Θεία Κοινωνία, Μικρή Είσοδος, Αποστολικό
Ανάγνωσμα, Αντίφωνα.
Μονάδες 5
Δ)Να χαρακτηρίσετε την παρακάτω πρόταση ως σωστή ή
λάθος και να δικαιολογήσετε την απάντησή σας:
Η ιδιότητα του Δικαστικού και του Μασόνου είναι
ασυμβίβαστη.
Μονάδες 5
ΟΜΑΔΑ Β’
Να αναπτύξετε τις ερωτήσεις:
1) Ποιες είναι οι τρεις φάσεις του σχεδίου της Θείας
Οικονομίας;
2) Γιατί και πώς μερικοί άνθρωποι, ιδίως νέοι,
παρασύρονται από τον Σατανισμό και ποιές είναι οι
συνέπειες για το άτομο και την οικογένεια;ΙΩΑΝΝΑ ΚΙΑΜΙΛΗhttp://www.blogger.com/profile/18290308512440353255noreply@blogger.com0tag:blogger.com,1999:blog-2486622782085177264.post-42728803984009383992014-01-07T03:50:00.001-08:002014-01-07T03:50:12.065-08:00Βιολογία ΘΕΜΑΤΑ ΓΡΑΠΤΩΝ ΠΡΟΑΓΩΓΙΚΩΝ ΕΞΕΤΑΣΕΩΝ ΠΕΡΙΟΔΟΥ ΜΑΪΟΥ- ΙΟΥΝΙΟΥ<div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="font-family: "Arial","sans-serif"; font-size: 8.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">ΥΠΟΥΡΓΕΙΟ ΠΑΙΔΕΙΑΣ, ΔΙΑ ΒΙΟΥ ΜΑΘΗΣΗΣ & ΘΡΗΣΚΕΥΜΑΤΩΝ<b>
</b></span><b><span style="font-family: "Arial","sans-serif"; font-size: 10.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Τάξη Γ΄ <o:p></o:p></span></b></div>
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<b><span style="font-family: "Arial","sans-serif"; font-size: 8.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"> </span></b><span style="font-family: "Arial","sans-serif"; font-size: 8.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">ΠΕΡ. Δ/ΝΣΗ Π/ΘΜΙΑΣ
& Δ/ΘΜΙΑΣ ΕΚΠ/ΣΗΣ<b>
</b></span><b><span style="font-family: "Arial","sans-serif"; font-size: 10.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Μάθημα
: Βιολογία 2<o:p></o:p></span></b></div>
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<b><span style="font-family: "Arial","sans-serif"; font-size: 8.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">
</span></b><span style="font-family: "Arial","sans-serif"; font-size: 8.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">ΚΕΝΤΡΙΚΗΣ ΜΑΚΕΔΟΝΙΑΣ
</span><b><span style="font-family: "Arial","sans-serif"; font-size: 10.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">24/05/2012<o:p></o:p></span></b></div>
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<b><span style="font-family: "Arial","sans-serif"; font-size: 8.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"> </span></b><span style="font-family: "Arial","sans-serif"; font-size: 8.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Δ/ΝΣΗ Δ/ΘΜΙΑΣ
ΕΚΠ/ΣΗΣ ΗΜΑΘΙΑΣ <b> </b></span><b><span style="font-family: "Arial","sans-serif"; font-size: 10.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"><o:p></o:p></span></b></div>
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<b><span style="font-family: "Arial","sans-serif"; font-size: 10.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"> 3<sup>ο</sup>
ΓΥΜΝΑΣΙΟ <o:p></o:p></span></b></div>
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<b><span style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">ΘΕΜΑΤΑ ΓΡΑΠΤΩΝ
ΠΡΟΑΓΩΓΙΚΩΝ ΕΞΕΤΑΣΕΩΝ ΠΕΡΙΟΔΟΥ
ΜΑΪΟΥ- ΙΟΥΝΙΟΥ<o:p></o:p></span></b></div>
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<b><span style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">ΝΑ
ΑΠΑΝΤΗΣΕΤΕ ΣΤΑ 6 ΑΠΟ
ΤΑ 9 ΠΑΡΑΚΑΤΩ ΘΕΜΑΤΑ<o:p></o:p></span></b></div>
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<b><span style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">ΟΛΕΣ
ΟΙ ΑΠΑΝΤΗΣΕΙΣ ΝΑ
ΔΟΘΟΥΝ ΣΤΗΝ ΚΟΛΛΑ
ΑΝΑΦΟΡΑΣ<o:p></o:p></span></b></div>
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<b><span style="font-family: "Arial","sans-serif"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"> <u>ΘΕΜΑ 1<sup>Ο</sup><o:p></o:p></u></span></b></div>
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<span style="background-position: initial initial; background-repeat: initial initial; color: #333333; font-family: Arial, sans-serif; font-size: 9pt;">Να γράψετε τους ορισμούς από τις έννοιες: α) είδος, β) βιότοπος,
γ) πληθυσμός, δ) βιοκοινότητα, ε) οικοσύστημα.<o:p></o:p></span></div>
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<b><span style="font-family: "Arial","sans-serif"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"> <u>ΘΕΜΑ 2<sup>Ο</sup><o:p></o:p></u></span></b></div>
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<span style="background-position: initial initial; background-repeat: initial initial; color: #333333; font-family: Arial, sans-serif; font-size: 9pt;">Αν συμβολίσουμε με Μ, το επικρατές γονίδιο για τα μαύρα
μαλλιά και με μ το υπολειπόμενο γονίδιο για τα ξανθά μαλλιά,</span><span style="color: #333333; font-family: "Arial","sans-serif"; font-size: 9.0pt;"><br />
<span style="background-position: initial initial; background-repeat: initial initial;">Α. Τι χρώμα ματιών θα δώσουν τα ακόλουθα
ζευγάρια γονιδίων: α) ΜΜ, β) Μμ, γ) μμ</span><br />
<span style="background-position: initial initial; background-repeat: initial initial;">Β. Ποιοι γονότυποι από τους ΜΜ, Μμ, μμ είναι
ομόζυγοι και ποιοι ετερόζυγοι ;<o:p></o:p></span></span></div>
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<span style="background-position: initial initial; background-repeat: initial initial; color: #333333; font-family: Arial, sans-serif; font-size: 9pt;">Γ. </span><span style="background-position: initial initial; background-repeat: initial initial; color: #333333; font-family: Verdana, sans-serif; font-size: 8.5pt;">Ένας άνδρας με μαύρα μαλλιά , παντρεύεται μια
κοπέλα με ξανθά μαλλιά . Δεδομένο ότι το γονίδιο για τα μαύρα μαλλιά είναι
επικρατές του γονιδίου για τα ξανθά μαλλιά, να υπολογίσετε την πιθανότητα να
κάνει αυτό το ζευγάρι παιδιά με ξανθά μαλλιά.</span><span style="background-position: initial initial; background-repeat: initial initial; color: #333333; font-family: Arial, sans-serif; font-size: 9pt;"><o:p></o:p></span></div>
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<b><span style="font-family: "Arial","sans-serif"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"> <u>ΘΕΜΑ 3<sup>Ο</sup><o:p></o:p></u></span></b></div>
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<span class="apple-converted-space"><span style="background-position: initial initial; background-repeat: initial initial; color: #333333; font-family: Verdana, sans-serif; font-size: 8.5pt;"> </span></span><span style="background-position: initial initial; background-repeat: initial initial; color: #333333; font-family: Verdana, sans-serif; font-size: 8.5pt;">Ο
μεταγραφόμενος κλώνος ενός τμήματος DNA έχει την εξής ακολουθία βάσεων : -TAC-GGA-AAT-TTT-GCT-AGG-CAT-GTG-AGC-ACT-</span><span style="color: #333333; font-family: "Verdana","sans-serif"; font-size: 8.5pt;"><br />
<span style="background-position: initial initial; background-repeat: initial initial;">α) Να γράψετε τον συμπληρωματικό κλώνο του DNA
του παραπάνω τμήματος .</span><br />
<span style="background-position: initial initial; background-repeat: initial initial;">β) Ποιο είναι το τμήμα του m-RNA που
συντίθεται ;</span></span><span style="background-position: initial initial; background-repeat: initial initial; color: #333333; font-family: Arial, sans-serif; font-size: 9pt;"><o:p></o:p></span></div>
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<span style="background-position: initial initial; background-repeat: initial initial; color: #333333; font-family: Verdana, sans-serif; font-size: 8.5pt;">Να αντιστοιχίσετε τους όρους της αριστερής στήλης με τις
προτάσεις της δεξιάς στήλης:</span><span style="color: #333333; font-family: "Verdana","sans-serif"; font-size: 8.5pt;"><br />
<span style="background-position: initial initial; background-repeat: initial initial;">Α. Κυτταρικό τοίχωμα α. Δίνει το σταθερό σχήμα στο φυτικό
κύτταρο</span><br />
<span style="background-position: initial initial; background-repeat: initial initial;">Β. Πυρήνας β. Περιέχουν χλωροφύλλη</span><br />
<span style="background-position: initial initial; background-repeat: initial initial;">Γ. Μιτοχόνδρια γ. Περιέχει το σύνολο σχεδόν
του DNA</span><br />
<span style="background-position: initial initial; background-repeat: initial initial;">Δ. Ριβόσωμα δ. Εκεί γίνεται η σύνθεση των
πρωτεϊνών</span><br />
<span style="background-position: initial initial; background-repeat: initial initial;">Ε. Χλωροπλάστες ε. Κέντρα παραγωγής ενέργειας</span><br />
<!--[if !supportLineBreakNewLine]--><br />
<!--[endif]--></span><span style="color: #333333; font-family: "Arial","sans-serif"; font-size: 9.0pt;"><o:p></o:p></span></div>
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<span style="background-position: initial initial; background-repeat: initial initial; color: #333333; font-family: Arial, sans-serif; font-size: 9pt;">Χαρακτηρίστε τις προτάσεις με Σ αν είναι σωστές και με Λ αν
είναι λαθεμένες:</span><span lang="EN-US" style="background-position: initial initial; background-repeat: initial initial; color: #333333; font-family: Arial, sans-serif; font-size: 9pt;"><o:p></o:p></span></div>
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<span style="background-position: initial initial; background-repeat: initial initial;">α)</span></span><span style="background-position: initial initial; background-repeat: initial initial; color: #333333; font-family: Verdana, sans-serif; font-size: 8.5pt;">. Το
βακτηριακό κύτταρο δεν έχει πυρήνα.</span><span style="color: #333333; font-family: "Verdana","sans-serif"; font-size: 8.5pt;"><br />
<span style="background-position: initial initial; background-repeat: initial initial;">β. Στο DNA η αδενίνη «συμπληρώνει» την
κυτοσίνη.</span><br />
<span style="background-position: initial initial; background-repeat: initial initial;">γ. Περίοδος επώασης είναι το χρονικό διάστημα
που κάποιος είναι ασθενής κι έχει πυρετό.</span><br />
<span style="background-position: initial initial; background-repeat: initial initial;">στ. Μια συγκεκριμένη τροφική αλυσίδα ξεκινάει
πάντα από έναν παραγωγό και δείχνει μία αλλη-</span><br />
<span style="background-position: initial initial; background-repeat: initial initial;">λουχία οργανισμών που συνδέονται μεταξύ τους
με τροφικές σχέσεις.</span></span><span style="background-position: initial initial; background-repeat: initial initial; color: #333333; font-family: Arial, sans-serif; font-size: 9pt;"> </span><span lang="EN-US" style="background-position: initial initial; background-repeat: initial initial; color: #333333; font-family: Arial, sans-serif; font-size: 9pt;"><o:p></o:p></span></div>
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<span style="background-position: initial initial; background-repeat: initial initial; color: #333333; font-family: Arial, sans-serif; font-size: 9pt;">β) ____ Το προκαρυωτικό κύτταρο εμφανίζει συγκροτημένο
πυρήνα.</span><span style="color: #333333; font-family: "Arial","sans-serif"; font-size: 9.0pt;"><br />
<span style="background-position: initial initial; background-repeat: initial initial;">γ) ____ Τα πρωτόζωα, τα φυτά και τα βακτήρια
είναι ευκαρυωτικοί οργανισμοί.</span><br />
<span style="background-position: initial initial; background-repeat: initial initial;">δ) ____ Τα χυμοτόπια εμφανίζονται μόνο στο
φυτικό κύτταρο.</span><br />
<span style="background-position: initial initial; background-repeat: initial initial;">ε) ____ Ο πυρήνας περιέχει το σύνολο σχεδόν
του DNA του κυττάρου.<o:p></o:p></span></span></div>
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<span style="background-position: initial initial; background-repeat: initial initial;">2. Συμπληρώστε τις κατάλληλες λέξεις στα κενά,
έχοντας υπόψη σας τα οργανίδια του κυτταροπλάσματος:</span><br />
<span style="background-position: initial initial; background-repeat: initial initial;">α) Τα _____________ είναι σφαιρικά κυστίδια
που περιέχουν δραστικά ένζυμα.</span><br />
<span style="background-position: initial initial; background-repeat: initial initial;">β) Η σύνθεση των πρωτεϊνών γίνεται στα
______________ ενώ για να πάρουν την τελική τους μορφή περνούν δια μέσου του
ενδοπλασματικού δικτύου στο ______________ ______________.</span><br />
<span style="background-position: initial initial; background-repeat: initial initial;">γ) Τα κέντρα παραγωγής ενέργειας του κυττάρου
είναι τα _______________.</span><br />
<span style="background-position: initial initial; background-repeat: initial initial;">δ) Οι _______________ εξυπηρετούν την
λειτουργία της φωτοσύνθεσης.</span><br />
<span style="background-position: initial initial; background-repeat: initial initial;">ε) Βασικό συστατικό του κυτταρικού
____________ είναι η κυτταρίνη.</span><o:p></o:p></span></div>
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<span style="color: #333333; font-family: "Arial","sans-serif"; font-size: 9.0pt;">3 Ένα
τμήμα μιας αλυσίδας DNA περιέχει 20% αδενίνη. Ποιά η αναλογία της αζωτούχου
βάσης κυτοσίνης στο παραπάνω τμήμα της αλυσίδας αυτής;<br />
4 Κατά τη διαίρεση ενός κυττάρου προκύπτουν θυγατρικά κύτταρα στα οποία
περιέχονται οι ίδιες γενετικές πληροφορίες. Αυτό επιτυγχάνεται χάρη στην
ικανότητα του DNA να διπλασιάζεται με μια διαδικασία που ονομάζεται:<br />
Αντιγραφή Πολλαπλασιασμός Μεταγραφή Διαχωρισμός<o:p></o:p></span></div>
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<span style="color: #333333; font-family: "Arial","sans-serif"; font-size: 9.0pt;">5. Ποιό
από τα παρακάτω ζεύγη αζωτούχων βάσεων είναι ζεύγος συμπληρωματικών βάσεων
μορίου DNA; A) αδενίνη – κυτοσίνη B) θυμίνη – γουανίνη C) ουρακίλη - θυμίνη D)
αδενίνη – θυμίνη<br />
6. Να αναφέρετε 3 διαφορές μεταξύ DNA και RΝΑ.<br />
7. Αν συμβολίσουμε με Ε , το επικρατές γονίδιο για τα καστανά μάτια και με ε το
υπολειπόμενο γονίδιο για τα γαλανά μάτια,<br />
α. Τι χρώμα ματιών θα δώσουν τα ακόλουθα ζευγάρια γονιδίων: α)ΕΕ, β)Εε, γ)εε<br />
β Ποιοι γονότυποι από τους ΕΕ, Εε, εε είναι ομόζυγοι και ποιοι ετερόζυγοι ;<o:p></o:p></span></div>
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<span style="color: #333333; font-family: "Arial","sans-serif"; font-size: 9.0pt;">7. Οι
διπλοειδείς οργανισμοί περιέχουν τις γενετικές πληροφορίες, τα γονίδια, δύο
φορές, μια από τη μητέρα και μια από τον πατέρα και κάθε γονίδιο μπορεί να
εμφανίζεται με διαφορετικές μορφές, οι οποίες ονομάζονται:<br />
? Αυτοσωμικά ? Ομόλογα ? Δίκλωνα ? Αλληλόμορφα<o:p></o:p></span></div>
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<span style="color: #333333; font-family: "Arial","sans-serif"; font-size: 9.0pt;">8. Πόσα
ζεύγη φυλετικών χρωμοσωμάτων υπάρχουν στον ανθώπινο οργανισμό;<br />
α ) 1 β) 21 γ) 22 δ) 46<o:p></o:p></span></div>
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<span style="color: #333333; font-family: "Arial","sans-serif"; font-size: 9.0pt;">9. Πόσα
ζεύγη αυτοσωμικών χρωμοσωμάτων υπάρχουν στον ανθώπινο οργανισμό;<br />
Α) 22 β) 23 Γ) 46<o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">
<b> Ο
ΔΙΕΥΘΥΝΤΗΣ
Ο ΕΙΣΗΓΗΤΗ<a href="" name="_GoBack"></a>Σ<o:p></o:p></b></span></div>
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<span style="color: #333333; font-family: "Arial","sans-serif"; font-size: 9.0pt;">10.
Στους διπλοειδείς οργανισμούς τα χρωμοσώματα είναι ανα δύο ίδια. Το ζευγάρι των
ίδιων χρωμοσωμάτων ονομάζονται:<br />
Α) Ομόλογα Β) Ομότιμα Γ) Αυτοσωμικά Δ) Επικρατή<o:p></o:p></span></div>
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<span style="color: #333333; font-family: "Arial","sans-serif"; font-size: 9.0pt;">11. Τα
μόρια που σχετίζονται με τον καθορισμό των κληρονομικών χαρακτηριστικών και
ελέγχουν τις λειτουργίες των οργανισμών είναι:<br />
Α) Τα νουκλε’ι’νικά οξέα. Β) Οι πρωτε’ί’νες και τα λιπίδια.<br />
Γ) Τα αμινοξέα και τα σάκχαρα. Δ) Τα αμινοξέα και τα λιπίδια.<br />
12. Στα ποντίκια το γονίδιο Μ για το μαύρο τρίχωμα επικρατεί του γονιδίου μ για
το καφέ χρώμα. Ποιος μπορεί να είναι ο γονότυπος ενός μαύρου ποντικού; Τι
πείραμα θα κάνατε για να βρείτε αν ο μαύρος ποντικός είναι αμιγής ή υβρίδιο;<br />
13. Πόσα χρωμοσώματα έχει ο άνθρωπος; Πως διακρίνεται από τον καρυότυπο αν το
άτομο είναι αγόρι ή κορίτσι;<br />
14. Μ: γονίδιο υπεύθυνο για το μαύρο χρώμα μαλλιών στον άνθρωπο επικρατές.<br />
μ: γονίδιο υπεύθυνο για το ξανθό χρώμα μαλλιών, υπολειπόμενο.<br />
Να εξηγήσετε ποια είναι η πιθανότητα να γεννηθούν παιδιά με ξανθά μαλλιά<br />
Από ετερόζυγους γονείς.<br />
15. Να χαρακτηρίσετε σωστές (Σ) η λανθασμένες (Λ) τις προτάσεις<br />
α.-Γονείς που έχουν μαύρα μαλλιά αποκτούν παιδιά μόνο με μαύρα μαλλιά<br />
β.-Τα χρωμοσώματα φύλου στο κορίτσι είναι ΧΧ και στο αγόρι ΧΥ.<br />
γ.-Από τον καρυότυπο μπορούμε να πάρουμε πληροφορίες για το φύλο και για<br />
διάφορες χρωμοσωμικές ανωμαλίες.<o:p></o:p></span></div>
<br />
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<span style="color: #333333; font-family: "Arial","sans-serif"; font-size: 9.0pt;">16. Το
γονίδιο Κ που ελέγχει το καστανό χρώμα ματιών είναι επικρατές, ενώ το<br />
γονίδιο κ που ελέγχει το γαλανό χρώμα είναι υπολειπόμενο.<br />
Από το γάμο γυναίκας με καστανά μάτια και άνδρα με καστανά μάτια,<br />
γεννήθηκε το πρώτο παιδί τους με γαλανά μάτια.<br />
α.-Να γράψετε τους γονότυπους των γονέων και του πρώτου παιδιού<br />
β.-Αν το παραπάνω ζευγάρι κάνει δεύτερο παιδί, τι πιθανότητα υπάρχει να<br />
έχει καστανά μάτια (να κάνετε τη διασταύρωση).<br />
17. Η σωστή σειρά (αφετηρία-ενδιάμεσος-προϊόν) για τη σύνθεση μιάς πρωτεΐνης
είναι :<br />
α. RNA - DNA – πρωτεΐνη β. πρωτεΐνη - RNA - DNA<br />
γ. DNA - πρωτεΐνη – RNA δ. DNΑ - RNA – πρωτεΐνη<br />
18. Στο παρακάτω κείμενο, να συμπληρώσετε τα κενά με τις λέξεις ή τους αριθμούς
που σας δίνονται παρακάτω (τρεις περισσεύουν), μεταφέροντας στην κόλα σας τον
αριθμό του κενού και δίπλα τη σωστή λέξη ή αριθμό :<br />
22 - φύλα - 46 - κορίτσι - 48 - 44 - 24 - φύλου - αυτοσώματα -23 - αγόρι - δύο
- κύτταρο.<br />
«Κάθε ……..…(1)……….. του φυσιολογικού ανθρώπου έχει συνολικά ……..…(2)……….
χρωμοσώματα από τα οποία τα ……..…(3)……….. είναι κατά ζεύγη μορφολογικά όμοια
και στα δύο φύλα και λέγονται……..…(4)………. Τα υπόλοιπα …….…(5)………. είναι τα χρωμοσώματα
……..…(6)………. Εκτός από τα ……..…(7)………. ζεύγη αυτοσωμικών χρωμοσωμάτων, που
είναι κοινά και στα δύο ……..…(8)………., στο ……..…(9)………. υπάρχει ένα Χ και ένα
μικρότερο χρωμόσωμα Ψ (ΧΨ) ενώ στο ……..(10)…………. υπάρχουν δύο Χ χρωμοσώματα
φύλου (ΧΧ).»<br />
19. Απαντήστε συνοπτικά στις παρακάτω ερωτήσεις που αφορούν το DNA :<br />
1) Υπάρχει σε όλους τους οργανισμούς ή μόνο στον άνθρωπο;<br />
2) Με τι μοιάζει ;<br />
3) Ποια είναι τα δομικά του υλικά ;<br />
4) Σε ποιο μέρος του κυττάρου γίνεται η αντιγραφή του;<br />
5) Σε ποιο μέρος του κυττάρου γίνεται η μεταγραφή του σε mRNA ;<o:p></o:p></span></div>
</div>
ΙΩΑΝΝΑ ΚΙΑΜΙΛΗhttp://www.blogger.com/profile/18290308512440353255noreply@blogger.com0tag:blogger.com,1999:blog-2486622782085177264.post-28137370747569597342014-01-07T03:45:00.004-08:002014-01-07T03:45:31.442-08:00B΄ ΤΑΞΗ ΓΥΜΝΑΣΙΟΥ Μάθημα: Φυσική ΔΙΑΓΩΝΙΣΜA<div dir="ltr" style="text-align: left;" trbidi="on">
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Βαθμός: </p>
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</v:shape><![endif]--><!--[if !vml]--><img align="left" alt="Πλαίσιο κειμένου: Βαθμός: " height="77" hspace="12" src="file:///C:/Users/8210~1/AppData/Local/Temp/msohtmlclip1/01/clip_image001.gif" v:shapes="_x0000_s1055" width="150" /><!--[endif]--><b><span style="font-size: 16.0pt; line-height: 150%;"> </span></b><b><span lang="EN-US" style="font-size: 16.0pt; line-height: 150%; mso-ansi-language: EN-US;">B</span></b><b><span style="font-size: 16.0pt; line-height: 150%;">΄ ΤΑΞΗ ΓΥΜΝΑΣΙΟΥ<o:p></o:p></span></b></div>
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<span style="line-height: 24px;"><b><u>ΔΙΑΓΩΝΙΣΜA</u></b></span></div>
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Μάθημα: Φυσική
Ημερομηνία:
.......................</div>
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Όνομα μαθητή...........................................................................Τμήμα
…..</div>
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<span style="font-size: 14.0pt;">ΘΕΜΑΤΑ<o:p></o:p></span></div>
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<b>1)</b> Να συμπληρώσετε τα <b>κενά</b>: (3 μονάδες)</div>
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<b> Οι δυνάμεις προκαλούν
μεταβολή στην ……………. των σωμάτων στα οποία ασκούνται.<br />
Όταν δύο σώματα δε βρίσκονται σε
…………….., αλλά αλληλεπιδρούν , τότε τις …………… που ασκεί το ένα στο άλλο τις λέμε
δυνάμεις από ………………… Όταν ένα σώμα ασκεί
δύναμη σ΄ ένα άλλο σώμα (δράση), τότε και το δεύτερο σώμα ασκεί δύναμη
………………….. μέτρου και ………………….. κατεύθυνσης στο πρώτο (αντίδραση). Αδράνεια
είναι η ……………….. των σωμάτων να θέλουν να διατηρήσουν την ……………….. τους
κατάσταση.<o:p></o:p></b></div>
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2)Να χαρακτηρίσετε τις παρακάτω προτάσεις σαν <b>σωστές ή λανθασμένες </b>: (3 μονάδες)</div>
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α) Η μάζα είναι το μέτρο της αδράνειας ενός σώματος.</div>
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β) Το βάρος αλλάζει από τόπο σε τόπο.</div>
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γ) Η μάζα αλλάζει με το υψόμετρο.</div>
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δ) Όσο μεγαλύτερη μάζα έχει ένα σώμα τόσο μικρότερη αδράνεια παρουσιάζει.</div>
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ε) Οι δυνάμεις δράση και αντίδραση ασκούνται πάνω στο ίδιο σώμα.</div>
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στ) Η συνισταμένη δύναμη της δράσης και της αντίδρασης είναι μηδέν.</div>
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<b>3) Να εξηγήσετε
με βάση τους νόμους του Νεύτωνα τα παρακάτω φαινόμενα: α) Όταν ένα αεροπλάνο
απογειώνεται, τα σώματα των επιβατών ‘πέφτουν προς τα πίσω’</b><b>[μον.
1]</b><o:p></o:p></div>
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<b>β)Την κίνηση
μιας βάρκας με κουπιά </b><b>[μον. 1]</b><o:p></o:p></div>
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<b>4) Σε υλικό
σημείο ασκούνται οι δυνάμεις F<sub>1</sub> = 8N και F<sub>2</sub> = 6Ν. Ποια η <br />
συνισταμένη δύναμη αν: α. Έχουν την ίδια κατεύθυνση.</b><b> [μον. 1]</b><o:p></o:p></div>
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.................................................................................................................................................................................<b> β. Έχουν αντίθετη κατευθύνση.</b><b> [μον.
1]<o:p></o:p></b></div>
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................................................................................................................................................................................<b>γ.Είναι κάθετες μεταξύ τους </b><b>[μον.
1]</b></div>
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.<b><o:p></o:p></b></div>
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<br /></div>
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<span lang=EN-US style='font-family:"Arial","sans-serif";
mso-ansi-language:EN-US'>F</span><sub><span style='font-family:"Arial","sans-serif"'>2</span></sub><span
style='font-family:"Arial","sans-serif"'>=9Ν<o:p></o:p></span></p>
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<span lang=EN-US style='font-family:"Arial","sans-serif";
mso-ansi-language:EN-US'>F</span><sub><span style='font-family:"Arial","sans-serif"'>1</span></sub><span
style='font-family:"Arial","sans-serif"'>=12Ν<o:p></o:p></span></p>
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<span style='font-family:"Arial","sans-serif"'>Τ=7Ν<o:p></o:p></span></p>
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</v:group><![endif]--><!--[if !vml]--><img align="left" height="96" src="file:///C:/Users/8210~1/AppData/Local/Temp/msohtmlclip1/01/clip_image004.gif" v:shapes="_x0000_s1056 _x0000_s1057 _x0000_s1058 _x0000_s1059 _x0000_s1060 _x0000_s1061 _x0000_s1062 _x0000_s1063 _x0000_s1064 _x0000_s1065" width="302" /><!--[endif]--><b>5) </b><span style="font-family: BookAntiqua; mso-bidi-font-family: BookAntiqua;"> </span>Για το σώμα του διπλανού σχήματος <o:p></o:p></div>
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δίνονται
τα ακόλουθα δεδομένα: <o:p></o:p></div>
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<span lang="PT-BR">m</span><span lang="PT-BR"> </span><span lang="PT-BR">=</span><span lang="PT-BR"> </span><span lang="PT-BR">2 Kg, F<sub>1</sub></span><sub><span lang="PT-BR"> </span></sub><span lang="PT-BR">=</span><span lang="PT-BR"> </span><span lang="PT-BR">12 N, F<sub>2</sub></span><sub><span lang="PT-BR"> </span></sub><span lang="PT-BR">=</span><span lang="PT-BR"> </span><span lang="PT-BR">9 N </span>και <o:p></o:p></div>
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<span lang="PT-BR">T</span><span lang="PT-BR"> </span><span lang="PT-BR">=7 N. </span><o:p></o:p></div>
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<b><span lang="EN-GB">i</span></b><b>. </b>Να σχεδιάσετε στο σχήμα τη δύναμη<o:p></o:p></div>
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του βάρους του σώματος και να την
υπολογίσετε. <b>[μον.
1]</b><o:p></o:p></div>
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<o:p></o:p></div>
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<b><span lang="EN-GB">ii</span></b><b>. </b>Να σχεδιάσετε στο σχήμα την κάθετη αντίδραση
που εξασκεί το δάπεδο στο σώμα <o:p></o:p></div>
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και να την υπολογίσετε.
<b>[μον. 1]<o:p></o:p></b></div>
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<br /></div>
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<b><span lang="EN-US">iii</span></b><b>.</b> Να διερευνήσετε προς ποια κατεύθυνση
κινείται το σώμα.
<b> [μον. 1]<o:p></o:p></b></div>
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6)<span style="font-family: TimesNewRomanPSMT; mso-bidi-font-family: TimesNewRomanPSMT; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;"> </span>Να
σχεδιάσετε τις δυνάμεις που ασκούνται στα πιο κάτω σώματα (Σ<sub>1</sub>, Σ<sub>2</sub>,
Σ<sub>3</sub>) και να τις κατατάξετε σε απόστασης ή επαφής.<o:p></o:p></div>
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<span style='mso-bidi-font-family:Arial'>Σ<sub>3<o:p></o:p></sub></span></p>
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<span style='mso-bidi-font-family:Arial'>Σ<sub>2<o:p></o:p></sub></span></p>
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<div class="MsoNormal" style="line-height: 150%; margin-left: -21.3pt; text-align: justify;">
(2 μονάδες)</div>
<div class="MsoNormal" style="line-height: 150%; margin-left: -21.3pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: -21.3pt; text-align: justify;">
7) <b>Ένα σώμα βάρους 10Ν είναι
ακίνητο σε οριζόντιο επίπεδο .Σ’ αυτό ασκείται δύναμη F=15Ν προς τα δεξιά. Η
τριβή που ασκείται σ’ αυτό είναι Τ=4Ν. <o:p></o:p></b></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: -21.3pt; text-align: justify;">
<b>α) Να σχεδιάσετε όλες τις δυνάμεις
που ασκούνται στο σώμα.<o:p></o:p></b></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: -21.3pt; text-align: justify;">
<b>β) Να υπολογίσετε τη συνισταμένη
τους.<o:p></o:p></b></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: -21.3pt; text-align: justify;">
<b>γ) Προς ποια κατεύθυνση κινείται
το σώμα;<o:p></o:p></b></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: -21.3pt; text-align: justify;">
<b>δ) Πόσα Ν θα έπρεπε να είναι η
συνισταμένη των παραπάνω δυνάμεων ώστε το σώμα να<br />
παραμείνει ακίνητο;<o:p></o:p></b></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: -21.3pt; text-align: justify;">
(4 μονάδες)</div>
<div class="MsoNormal" style="line-height: 150%; margin-left: -21.3pt; text-align: justify;">
.................................................................................................................................................................................</div>
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.................................................................................................................................................................................</div>
<br />
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
</div>
ΙΩΑΝΝΑ ΚΙΑΜΙΛΗhttp://www.blogger.com/profile/18290308512440353255noreply@blogger.com0tag:blogger.com,1999:blog-2486622782085177264.post-77939911483366477022013-12-23T06:19:00.001-08:002013-12-23T06:19:45.303-08:00Διαγώνισμα στο μάθημα της Φυσικής Β’ Λυκείου<div dir="ltr" style="text-align: left;" trbidi="on">
<div class="MsoNormal" style="text-align: justify;">
<b><span style="font-family: "Arial Black","sans-serif"; mso-ansi-language: EL;">Διαγώνισμα στο μάθημα της Φυσικής Β’ Λυκείου <o:p></o:p></span></b></div>
<div class="MsoNormal" style="text-align: justify;">
<b><span lang="EN-GB" style="font-family: "Arial","sans-serif";">Ονοματεπώνυμο.......................................................................................
<o:p></o:p></span></b></div>
<div class="MsoNormal" style="line-height: 15.0pt; margin-bottom: 6.0pt; text-align: justify;">
<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;"> </span><b><span style="font-family: 'Arial Black', sans-serif;">Διαγώνισμα στο μάθημα της Φυσικής Β’ Λυκείου</span></b></div>
<div class="MsoNormal" style="line-height: 15.0pt; margin-bottom: 6.0pt; text-align: justify;">
<b><span style="font-family: 'Arial Black', sans-serif;">ΟΜΑΛΗ ΚΥΚΛΙΚΗ ΚΙΝΗΣΗ</span></b></div>
<div class="MsoListParagraph" style="line-height: 15.0pt; margin-bottom: 6.0pt; margin-left: 18.0pt; margin-right: 0cm; margin-top: 0cm; mso-add-space: auto; mso-list: l5 level1 lfo5; text-align: justify; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="font-family: "Arial","sans-serif"; mso-fareast-font-family: Arial; mso-fareast-language: EL;">1.<span style="font-family: 'Times New Roman'; font-size: 7pt; line-height: normal;"> </span></span><!--[endif]--><span style="font-family: "Arial","sans-serif"; mso-fareast-language: EL;">Η κυκλική
τροχαλία μιας μηχανής, ακτίνας </span><span lang="EN-US" style="font-family: "Arial","sans-serif"; mso-ansi-language: EN-US; mso-fareast-language: EL;">R</span><sub><span style="font-family: "Arial","sans-serif"; mso-fareast-language: EL;">1</span></sub><span style="font-family: "Arial","sans-serif"; mso-fareast-language: EL;">= 0,15</span><span lang="EN-US" style="font-family: "Arial","sans-serif"; mso-ansi-language: EN-US; mso-fareast-language: EL;">m</span><span style="font-family: "Arial","sans-serif"; mso-fareast-language: EL;">, εκτελεί 240 στροφές το λεπτό. <o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">Να υπολογίσετε:<o:p></o:p></span></div>
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Την συχνότητα περιστροφής <b>(μον.
1)</b></span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;"> </span><b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;"><o:p></o:p></span></b></div>
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<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">………………………………………………………………………………………<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 55.0pt; tab-stops: 38.5pt; text-align: justify; text-indent: -36.1pt;">
<br /></div>
<div class="MsoNormal" style="margin-left: 55.0pt; tab-stops: 38.5pt; text-align: justify; text-indent: -36.1pt;">
<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">β) Την περίοδο<b> </b>περιστροφής της τροχαλίας. <b>(μον. 1)</b></span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;"> </span><b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;"><o:p></o:p></span></b></div>
<div class="MsoNormal" style="text-align: justify; text-indent: 18.9pt;">
<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">………………………………………………………………………………………<o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify; text-indent: 18.9pt;">
<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">………………………………………………………………………………………<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-right: -2.1pt; tab-stops: 38.5pt; text-align: justify; text-indent: 19.6pt;">
<b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">γ) </span></b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">Τη γωνιακή ταχύτητα της τροχαλίας. <b>(μον.
1)<o:p></o:p></b></span></div>
<div class="MsoNormal" style="text-align: justify; text-indent: 19.6pt;">
<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">………………………………………………………………………………………<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 38.5pt; text-align: justify; text-indent: -18.9pt;">
<b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">δ) </span></b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">Τη γραμμική ταχύτητα του σημείου
Α της τροχαλίας και να τη σχεδιάσετε αν η τροχαλία περιστρέφεται
αριστερόστροφα. <b>(μον. 2)</b> <o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify; text-indent: 19.6pt;">
<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">……………………………………………………………………………………………………………<o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">…………………………………………………………………………………………………………………</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"><o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 55.0pt; tab-stops: 38.5pt; text-align: justify; text-indent: -36.1pt;">
<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;">ε) Την κεντρομόλο επιτάχυνση
του σημείου Α και να τη σχεδιάσετε πάνω
στο σχήμα </span><b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">(μον. 2)</span></b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;"> </span><b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;"><o:p></o:p></span></b></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">………………………………………………………………………………………</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"><o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 55.0pt; tab-stops: 38.5pt; text-align: justify; text-indent: -36.1pt;">
<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;">Στ) Την κεντρομόλο δύναμη αν η
μάζα είναι </span><span lang="EN-US" style="font-family: "Arial","sans-serif"; mso-ansi-language: EN-US; mso-bidi-font-weight: bold;">m</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;">=2 </span><span lang="EN-US" style="font-family: "Arial","sans-serif"; mso-ansi-language: EN-US; mso-bidi-font-weight: bold;">kg</span><span lang="EN-US" style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"> </span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"> </span><b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">(μον. 1)</span></b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;"> </span><b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;"><o:p></o:p></span></b></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">……………………………………………………………………………………………………………………………………………………………………………… Δίνεται π<sup>2</sup>
= 10</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"><o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
<div style="background: white; text-align: justify;">
<b><span style="color: #29303b; font-family: "Arial","sans-serif";">2.</span></b><span style="color: #29303b; font-family: "Arial","sans-serif";"> Χαρακτηρίστε με
Σ(σωστό) ή Λ(λάθος) τις παρακάτω προτάσεις: </span><b><span style="font-family: "Arial","sans-serif";">(μον.3)</span></b><span style="font-family: "Arial","sans-serif";">
<span style="color: #29303b;"><o:p></o:p></span></span></div>
<div style="background: white; text-align: justify;">
<span style="color: #29303b; font-family: "Arial","sans-serif";">Α. Στην ομαλή κυκλική κίνηση η συνισταμένη των δυνάμεων που
ασκούνται στο σώμα είναι σταθερή.<o:p></o:p></span></div>
<div style="background: white; text-align: justify;">
<span style="color: #29303b; font-family: "Arial","sans-serif";">Β. Η κεντρομόλος επιτάχυνση έχει μέτρο ίσο με υ<sup>2</sup>/</span><span lang="EN-US" style="color: #29303b; font-family: "Arial","sans-serif"; mso-ansi-language: EN-US;">R</span><span style="color: #29303b; font-family: "Arial","sans-serif";"><o:p></o:p></span></div>
<div style="background: white; text-align: justify;">
<span style="color: #29303b; font-family: "Arial","sans-serif";">Γ. Αν διπλασιαστεί η τιμή της ταχύτητας ενός σώματος που
κινείται σε κυκλική τροχιά, η κεντρομόλος επιτάχυνση τετραπλασιάζεται.<o:p></o:p></span></div>
<div style="background: white; text-align: justify;">
<span style="color: #29303b; font-family: "Arial","sans-serif";">Δ. Η ομαλή κυκλική κίνηση είναι επιταχυνόμενη κίνηση.<o:p></o:p></span></div>
<div style="background: white; text-align: justify;">
<span style="color: #29303b; font-family: "Arial","sans-serif";">Ε. Στην ομαλή κυκλική κίνηση η κεντρομόλος επιτάχυνση είναι
σταθερή.<o:p></o:p></span></div>
<div style="background: white; text-align: justify;">
<span style="color: #29303b; font-family: "Arial","sans-serif";">ΣΤ. Στην ομαλή κυκλική κίνηση η γραμμική και η γωνιακή ταχύτητα
έχουν πάντα ίσα μέτρα<o:p></o:p></span></div>
<div style="background: white; text-align: justify;">
<span style="color: #29303b; font-family: "Arial","sans-serif";">Ζ. Στην ομαλή κυκλική κίνηση το μέτρο της κεντρομόλου
επιτάχυνσης είναι σταθερό.<o:p></o:p></span></div>
<div style="background: white; text-align: justify;">
<span lang="EN-US" style="color: #29303b; font-family: "Arial","sans-serif"; mso-ansi-language: EN-US;">H</span><span style="color: #29303b; font-family: "Arial","sans-serif";">. Η ταχύτητα στην ομαλή
κυκλική κίνηση παραμένει σταθερή <o:p></o:p></span></div>
<div style="background: white; text-align: justify;">
<span style="color: #29303b; font-family: "Arial","sans-serif";">Θ. στην ομαλή κυκλική κίνηση ισχύει ω=υ.R <o:p></o:p></span></div>
<div style="background: white; text-align: justify;">
<span style="color: #29303b; font-family: "Arial","sans-serif";">Ι. Η ομαλή κυκλική κίνηση είναι μεταβαλλόμενη κίνηση <o:p></o:p></span></div>
<div style="background: white;">
<b><span style="font-family: "Arial","sans-serif";">3.</span></b><span style="font-family: "Arial","sans-serif"; mso-bidi-font-weight: bold;"> Στην ομαλή
κυκλική κίνηση η γωνιακή ταχύτητα είναι μέγεθος: </span><span style="color: #29303b; font-family: "Arial","sans-serif";">:</span><b><span style="font-family: "Arial","sans-serif";"> (μον.1)</span></b><span style="font-family: "Arial","sans-serif";">
<span style="color: #29303b;"><o:p></o:p></span></span></div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;">α. μονόμετρο β. αριθμητικό γ. διανυσματικό δ. αδιάστατο<o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
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<span lang=EN-GB style='font-size:10.0pt'>υ<sub>0</sub>=6m/s<o:p></o:p></span></p>
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<p class=MsoNormal>
<span lang=EN-GB style='font-size:10.0pt'>Η=45m<o:p></o:p></span></p>
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</v:group><![endif]--><!--[if !vml]--><img align="left" height="114" src="file:///C:/Users/8210~1/AppData/Local/Temp/msohtmlclip1/01/clip_image004.gif" v:shapes="_x0000_s1057 _x0000_s1058 _x0000_s1059 _x0000_s1060 _x0000_s1061 _x0000_s1062 _x0000_s1063 _x0000_s1064 _x0000_s1065 _x0000_s1066 _x0000_s1067 _x0000_s1068 _x0000_s1069 _x0000_s1070 _x0000_s1071 _x0000_s1072 _x0000_s1073 _x0000_s1074 _x0000_s1075 _x0000_s1076 _x0000_s1077 _x0000_s1078 _x0000_s1079 _x0000_s1080 _x0000_s1081 _x0000_s1082 _x0000_s1083 _x0000_s1084 _x0000_s1085 _x0000_s1086 _x0000_s1087 _x0000_s1088 _x0000_s1089 _x0000_s1090 _x0000_s1091 _x0000_s1092 _x0000_s1093 _x0000_s1094 _x0000_s1095 _x0000_s1096 _x0000_s1097 _x0000_s1098 _x0000_s1099 _x0000_s1100 _x0000_s1101 _x0000_s1102 _x0000_s1103 _x0000_s1104 _x0000_s1105 _x0000_s1106 _x0000_s1107 _x0000_s1108 _x0000_s1109 _x0000_s1110 _x0000_s1111 _x0000_s1112 _x0000_s1113 _x0000_s1114 _x0000_s1115 _x0000_s1116 _x0000_s1117 _x0000_s1118 _x0000_s1119 _x0000_s1120 _x0000_s1121 _x0000_s1122 _x0000_s1123 _x0000_s1124 _x0000_s1125 _x0000_s1126 _x0000_s1127 _x0000_s1128 _x0000_s1129 _x0000_s1130 _x0000_s1131 _x0000_s1132 _x0000_s1133 _x0000_s1134 _x0000_s1135 _x0000_s1136 _x0000_s1137 _x0000_s1138 _x0000_s1139 _x0000_s1140 _x0000_s1141 _x0000_s1142 _x0000_s1143 _x0000_s1144 _x0000_s1145 _x0000_s1146 _x0000_s1147 _x0000_s1148 _x0000_s1149 _x0000_s1150 _x0000_s1151 _x0000_s1152 _x0000_s1153 _x0000_s1154 _x0000_s1155 _x0000_s1156 _x0000_s1157 _x0000_s1158 _x0000_s1159 _x0000_s1160 _x0000_s1161 _x0000_s1162 _x0000_s1163 _x0000_s1164 _x0000_s1165 _x0000_s1166 _x0000_s1167 _x0000_s1168 _x0000_s1169 _x0000_s1170 _x0000_s1171 _x0000_s1172 _x0000_s1173 _x0000_s1174 _x0000_s1175 _x0000_s1176 _x0000_s1177 _x0000_s1178 _x0000_s1179 _x0000_s1180 _x0000_s1181 _x0000_s1182 _x0000_s1183 _x0000_s1184 _x0000_s1185 _x0000_s1186 _x0000_s1187 _x0000_s1188 _x0000_s1189 _x0000_s1190 _x0000_s1191 _x0000_s1192 _x0000_s1193 _x0000_s1194 _x0000_s1195 _x0000_s1196 _x0000_s1197 _x0000_s1198 _x0000_s1199 _x0000_s1200 _x0000_s1201 _x0000_s1202 _x0000_s1203 _x0000_s1204 _x0000_s1205 _x0000_s1206 _x0000_s1207 _x0000_s1208 _x0000_s1209 _x0000_s1210 _x0000_s1211 _x0000_s1212 _x0000_s1213 _x0000_s1214 _x0000_s1215 _x0000_s1216 _x0000_s1217" width="215" /><!--[endif]--><b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;">4.</span></b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;"> Από την κορυφή ενός πύργου ύψους Η=45</span><span lang="EN-GB" style="font-family: "Arial","sans-serif";">m</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;"> ρίχνεται σφαίρα
με ταχύτητα υ<sub>0</sub>=6</span><span lang="EN-GB" style="font-family: "Arial","sans-serif";">m</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;">/</span><span lang="EN-GB" style="font-family: "Arial","sans-serif";">s</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;">.<o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;">Ζητούνται:<o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
<b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;">α) </span></b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;">Ο χρόνος πτήσης
της σφαίρας. <b>(μον.2)</b> <o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-indent: 19.6pt;">
<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;"> </span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">……………………………………………………………………………</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;"> </span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">……………………………………………………………………………………………………………………………………………………………………………………………………………………………………..<o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">…………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"><o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
<b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;">β)</span></b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;"> Η απόσταση, από
την βάση του πύργου, που θα συναντήσει η σφαίρα το έδαφος. <b> (μον.1)</b> <o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">…………………………………………………………………………………………………<o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">…………………………………………………………………………………………………</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;"> </span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">…………………………………………………………………………………………………</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"><o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">…………………………………………………………………………………………………</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"><o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">…………………………………………………………………………………………………</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"><o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">…………………………………………………………………………………………………</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"><o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;">γ)</span></b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;"> Να υπολογίσετε την ταχύτητα με την οποία θα
φτάσει στο έδαφος <b>(μον.2)</b> <o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">………………………………………………………….….…………………………………<o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">…………………………………………………………………………………………………</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"><o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">……………………………………………………………..…………………………………<o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">…………………………………………………………………………………………………<o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">…………………………………………………………………………………………………</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"><o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">…………………………………………………………………………………………………</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"><o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">…………………………………………………………………………………………………</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"><o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">…………………………………………………………………………………………………</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"><o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
<div class="MsoNormal">
<br /></div>
<div style="background: white;">
<span style="color: #29303b; font-family: "Arial","sans-serif";">5.Συμπληρώστε τα κενά:</span><b><span style="font-family: "Arial","sans-serif";"> (μον.3)</span></b><span style="font-family: "Arial","sans-serif";">
<span style="color: #29303b;"><o:p></o:p></span></span></div>
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<span style="color: #29303b; font-family: "Arial","sans-serif";">Ένα υλικό σημείο εκτελεί κυκλική κίνηση σε οριζόντιο επίπεδο, με
ακτίνα R γύρω από το σημείο Ο<o:p></o:p></span></div>
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<span style="color: #29303b; font-family: "Arial","sans-serif";">Η γραμμική ταχύτητα είναι …………..στο επίπεδο της κυκλικής
τροχιάς, …………………………... στον κύκλο (πράγμα που σημαίνει …………….. στην ακτίνα σε
κάθε σημείο). Η ταχύτητα του υλικού σημείου σε μια κυκλική κίνηση
…………………………. (<i>μεταβάλλεται /παραμένει σταθερή</i>) ΠΑΝΤΑ. Ακόμη και αν το ………….. της
παραμένει σταθερό θα αλλάζει η ……..………………….. της, αφού θα είναι πάντα
………………………... του κύκλου. <o:p></o:p></span></div>
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<span style="color: #29303b; font-family: "Arial","sans-serif";">Η σχέση που συνδέει τα μέτρα της γραμμικής και γωνιακής
ταχύτητας είναι: ……….. <o:p></o:p></span></div>
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<b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;">Διαγώνισμα
στο μάθημα της Φυσικής Β’ Λυκείου <o:p></o:p></span></b></div>
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<b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;">Ονοματεπώνυμο</span></b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;">.......................................................................................
<o:p></o:p></span></div>
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<!--[if !supportLists]--><b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-font-family: Arial;">1.<span style="font-family: 'Times New Roman'; font-size: 7pt; font-weight: normal; line-height: normal;">
</span></span></b><!--[endif]--><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;">Ο Τζέιμς Μποντ (</span><span lang="EN-US" style="font-family: "Arial","sans-serif"; mso-ansi-language: EN-US;">James</span><span lang="EN-US" style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;"> </span><span lang="EN-US" style="font-family: "Arial","sans-serif"; mso-ansi-language: EN-US;">Bond</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;">), προσπαθεί να
πηδήξει από ένα ελικόπτερο το οποίο κινείται οριζόντια με ταχύτητα 130 </span><span lang="EN-US" style="font-family: "Arial","sans-serif"; mso-ansi-language: EN-US;">m</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;">/</span><span lang="EN-US" style="font-family: "Arial","sans-serif"; mso-ansi-language: EN-US;">s</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;">, σε ένα αυτοκίνητο . Το ελικόπτερο βρίσκεται
σε ύψος 120</span><span lang="EN-US" style="font-family: "Arial","sans-serif"; mso-ansi-language: EN-US;">m</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;"> από το έδαφος.<o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;">Α) Ο χρόνος που πέφτει ο Μποντ μέχρι να προσγειωθεί μέσα
στο αυτοκίνητο.<b> (μον.2)</b><o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;">…………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………<o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;">β<b>)</b> Να υπολογίσετε την απόσταση </span><span lang="EN-US" style="font-family: "Arial","sans-serif"; mso-ansi-language: EN-US;">x</span><sub><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;">0 </span></sub><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;">που πρέπει να
έχει το ελικόπτερο από το αυτοκίνητο έτσι ώστε ο πράκτορας να προσγειωθεί μέσα
στο αυτοκίνητο. (μον.1)<sub><o:p></o:p></sub></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;">………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………<o:p></o:p></span></div>
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<b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;">γ)</span></b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;"> Να υπολογίσετε την ταχύτητα με την οποία θα προσγειωθεί
στο αυτοκίνητο (μον.2)<o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;">………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………<o:p></o:p></span></div>
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<b><span style="color: #29303b; font-family: "Arial","sans-serif";">2.</span></b><span style="color: #29303b; font-family: "Arial","sans-serif";"> Χαρακτηρίστε με
Σ(σωστό) ή Λ(λάθος) τις παρακάτω προτάσεις:</span><b><span style="font-family: "Arial","sans-serif";"> (μον.3)</span></b><span style="color: #29303b; font-family: "Arial","sans-serif";"><o:p></o:p></span></div>
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<span style="color: #29303b; font-family: "Arial","sans-serif";">Α. Στην ομαλή κυκλική κίνηση η συνισταμένη των δυνάμεων που
ασκούνται στο σώμα είναι σταθερή.<o:p></o:p></span></div>
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<span style="color: #29303b; font-family: "Arial","sans-serif";">Β. Η κεντρομόλος επιτάχυνση έχει μέτρο ίσο με </span><span lang="EN-US" style="color: #29303b; font-family: "Arial","sans-serif"; mso-ansi-language: EN-US;">m</span><span style="color: #29303b; font-family: "Arial","sans-serif";">υ<sup>2</sup>/</span><span lang="EN-US" style="color: #29303b; font-family: "Arial","sans-serif"; mso-ansi-language: EN-US;">R</span><span style="color: #29303b; font-family: "Arial","sans-serif";"><o:p></o:p></span></div>
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<span style="color: #29303b; font-family: "Arial","sans-serif";">Γ. Αν διπλασιαστεί η τιμή της ταχύτητας ενός σώματος που
κινείται σε κυκλική τροχιά, η κεντρομόλος επιτάχυνση διπλασιάζεται.<o:p></o:p></span></div>
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<span style="color: #29303b; font-family: "Arial","sans-serif";">Δ. Η ομαλή κυκλική κίνηση είναι επιταχυνόμενη κίνηση.<o:p></o:p></span></div>
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<span style="color: #29303b; font-family: "Arial","sans-serif";">Ε. Στην ομαλή κυκλική κίνηση η κεντρομόλος επιτάχυνση είναι
σταθερή.<o:p></o:p></span></div>
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<span style="color: #29303b; font-family: "Arial","sans-serif";">ΣΤ. Στην ομαλή κυκλική κίνηση η γραμμική και η γωνιακή ταχύτητα
έχουν πάντα ίσα μέτρα<o:p></o:p></span></div>
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<span style="color: #29303b; font-family: "Arial","sans-serif";">Ζ. Στην ομαλή κυκλική κίνηση το μέτρο της κεντρομόλου επιτάχυνσης
είναι σταθερό.<o:p></o:p></span></div>
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<span lang="EN-US" style="color: #29303b; font-family: "Arial","sans-serif"; mso-ansi-language: EN-US;">H</span><span style="color: #29303b; font-family: "Arial","sans-serif";">. Στην ομαλή κυκλική
κίνηση το μέτρο της ταχύτητας παραμένει σταθερό <o:p></o:p></span></div>
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<span style="color: #29303b; font-family: "Arial","sans-serif";">Θ. Στην ομαλή κυκλική κίνηση ισχύει υ=ω.R <o:p></o:p></span></div>
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<span style="color: #29303b; font-family: "Arial","sans-serif";">Ι. Η ομαλή κυκλική κίνηση είναι μεταβαλλόμενη κίνηση <o:p></o:p></span></div>
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<b><span style="font-family: "Arial","sans-serif"; font-size: 16.0pt; mso-ansi-language: EL;">3</span></b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;">.Στην ομαλή κυκλική κίνηση η γραμμική ταχύτητα είναι μέγεθος: </span><b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;">(μον.1)</span></b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"><o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;">α. μονόμετρο β. αριθμητικό γ. διανυσματικό δ. αδιάστατο<o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;">4.Κυκλικός δίσκος περιστρέφεται
δεξιόστροφα όπως φαίνεται στο πιο κάτω σχήμα και κάνει <b>30 στροφές</b> το <b>λεπτό</b>. Η διάμετρος του δίσκου είναι ίση με <b>0,2
</b></span><b><span lang="EN-US" style="font-family: "Arial","sans-serif"; mso-ansi-language: EN-US;">m</span></b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;">. <o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"> ●<b>Α</b><o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">Να υπολογίσετε:<o:p></o:p></span></div>
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<b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">α)</span></b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;"> Την συχνότητα περιστροφής <b>(μον. 1)</b></span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;"> </span><b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;"><o:p></o:p></span></b></div>
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<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">………………………………………………………………………………………<o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">β) Την περίοδο<b> </b>περιστροφής της τροχαλίας. <b>(μον. 1)</b></span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;"> </span><b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;"><o:p></o:p></span></b></div>
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<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">………………………………………………………………………………………<o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">………………………………………………………………………………………<o:p></o:p></span></div>
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<b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">γ) </span></b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">Τη γωνιακή ταχύτητα της τροχαλίας. <b>(μον. 1)<o:p></o:p></b></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">………………………………………………………………………………………<o:p></o:p></span></div>
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<b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">δ) </span></b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">Τη γραμμική ταχύτητα του σημείου
Α της τροχαλίας και να τη σχεδιάσετε αν η τροχαλία περιστρέφεται</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"> δεξιόστροφα</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">. <b>(μον. 2)</b> <o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">……………………………………………………………………………………………………………<o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">…………………………………………………………………………………………………………………</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"><o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;">ε) Την κεντρομόλο επιτάχυνση
του σημείου Α και να τη σχεδιάσετε πάνω
στο σχήμα </span><b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">(μον. 2)</span></b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;"> </span><b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;"><o:p></o:p></span></b></div>
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<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">………………………………………………………………………………………</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"><o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;">Στ) Την κεντρομόλο δύναμη αν η
μάζα είναι </span><span lang="EN-US" style="font-family: "Arial","sans-serif"; mso-ansi-language: EN-US; mso-bidi-font-weight: bold;">m</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;">=2 </span><span lang="EN-US" style="font-family: "Arial","sans-serif"; mso-ansi-language: EN-US; mso-bidi-font-weight: bold;">kg</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"> </span><b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">(μον. 1)</span></b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;"> </span><b><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;"><o:p></o:p></span></b></div>
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<span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">………………………………………………………………………………………</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL;">………………………………………………………………………………… </span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-fareast-language: EL;">Δίνεται π<sup>2</sup> = 10</span><span style="font-family: "Arial","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"><o:p></o:p></span></div>
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<div style="background: white; margin-left: 36.0pt; mso-list: l3 level1 lfo6; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="color: #29303b; font-family: "Arial","sans-serif"; mso-fareast-font-family: Arial;">5.<span style="font-family: 'Times New Roman'; font-size: 7pt;"> </span></span><!--[endif]--><span style="color: #29303b; font-family: "Arial","sans-serif";">Συμπληρώστε τα κενά:</span><b><span style="font-family: "Arial","sans-serif";">
(μον.3)</span></b><span style="color: #29303b; font-family: "Arial","sans-serif";"><o:p></o:p></span></div>
<div style="background: white;">
<span style="color: #29303b; font-family: "Arial","sans-serif";">Ένα υλικό σημείο εκτελεί κυκλική κίνηση σε οριζόντιο επίπεδο, με
ακτίνα R γύρω από το σημείο Ο<o:p></o:p></span></div>
<div style="background: white; text-align: justify;">
<span style="color: #29303b; font-family: "Arial","sans-serif";">Είναι προφανές ότι για να έχει το σώμα επιτάχυνση, θα πρέπει να
δέχεται και αντίστοιχη συνισταμένη ………..……….., σύμφωνα με τον ………….... νόμο του
Νεύτωνα. Η συνισταμένη αυτή θα έχει την κατεύθυνση της …………………………… και
προς το κέντρο του κύκλου, την οποία λέμε και
……………………… ………………………., ΣF<span class="apple-style-span"><sub>κ</sub></span>=m·…… <o:p></o:p></span></div>
<div style="background: white; text-align: justify;">
<span style="color: #29303b; font-family: "Arial","sans-serif";">Αν το υλικό μας σημείο μετακινείται από την θέση (Α) στη θέση
(Β), η επιβατική ακτίνα (η ακτίνα που δίνει κάθε στιγμή τη θέση του κινητού)
διαγράφει την επίκεντρη γωνία dθ. Μπορούμε και εδώ να ορίσουμε τον ρυθμό με τον
οποίο μεταβάλλεται η παραπάνω γωνία. Το μέγεθος που προκύπτει
ονομάζεται ……………………… ταχύτητα. Με μονάδα μέτρησης το 1 ………………. Αυτή είναι ………….……. στο επίπεδο της κυκλικής
τροχιάς, στο …………… του κύκλου, με φορά που καθορίζεται από τον κανόνα του ……………
χεριού.<o:p></o:p></span></div>
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<!--[if !supportLists]--><b>1.<span style="font-size: 7pt; font-weight: normal; line-height: normal;">
</span></b><!--[endif]--><!--[if gte vml 1]><v:oval id="Oval_x0020_1952"
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" strokeweight=".5pt"/><![endif]--><!--[if !vml]--><span style="height: 113px; left: 0px; margin-left: 520px; margin-top: 39px; mso-ignore: vglayout; position: absolute; width: 113px; z-index: 251664384;"><img height="113" src="file:///C:/Users/8210~1/AppData/Local/Temp/msohtmlclip1/01/clip_image006.gif" v:shapes="Oval_x0020_1952" width="113" /></span><!--[endif]-->Σώμα εκτελεί ομαλή κυκλική κίνηση
σε οριζόντιο επίπεδο. Το διάνυσμα της γωνιακής του ταχύτητας φαίνεται στο
κέντρο<b><o:p></o:p></b></div>
<div class="MsoNormal" style="background: white; line-height: 115%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 18.0pt; margin-right: 1.9pt; margin-top: 0cm; mso-layout-grid-align: none; tab-stops: 354.4pt 361.5pt; text-align: justify; text-autospace: none;">
της κυκλικής του
τροχιάς, στο διπλανό σχήμα.<!--[if gte vml 1]><v:shape id="Text_x0020_Box_x0020_12660"
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</span><!--[endif]--><o:p></o:p></div>
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<td height="29" style="vertical-align: top;" width="32"><!--[endif]--><!--[if !mso]--><span style="left: 0pt; mso-ignore: vglayout; position: absolute; z-index: 251663360;">
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<div class="shape" style="padding: 3.6pt 7.2pt 3.6pt 7.2pt;" v:shape="Text_x0020_Box_x0020_12660">
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<span lang="EN-GB" style="font-size: 10.0pt;">Α<o:p></o:p></span></div>
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</span><!--[endif]--><!--[if !mso & !vml]--> <!--[endif]--><!--[if !vml]--></td>
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<b> </b>α) Να σχεδιάσετε το διάνυσμα της γραμμικής
ταχύτητάς <o:p></o:p></div>
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<b> </b>του στο σημείο Α.<b>
(μ.1)</b><o:p></o:p></div>
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β) Να εξηγήσετε ποιο/α από τα πιο κάτω
φυσικά μεγέθη<o:p></o:p></div>
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παραμένει/ουν σταθερό/ά κατά τη
διάρκεια της κίνησης του σώματος.<b> (μ.4)</b> <b> </b><o:p></o:p></div>
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<span lang="EN-US">i</span>) η
γραμμική του ταχύτητα.<b> <o:p></o:p></b></div>
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<br /></div>
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<br /></div>
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<span lang="EN-US">ii</span>) η
γωνιακή του ταχύτητα. <o:p></o:p></div>
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</v:group><![endif]--><!--[if !vml]--><img align="left" height="197" src="file:///C:/Users/8210~1/AppData/Local/Temp/msohtmlclip1/01/clip_image008.gif" v:shapes="Group_x0020_10820 Arc_x0020_7450 AutoShape_x0020_7457 Text_x0020_Box_x0020_7455 AutoShape_x0020_7454 Text_x0020_Box_x0020_7453 Oval_x0020_72 AutoShape_x0020_73 Text_x0020_Box_x0020_74 Arc_x0020_75 AutoShape_x0020_7454 Text_x0020_Box_x0020_7453 Text_x0020_Box_x0020_7455 Text_x0020_Box_x0020_79 Text_x0020_Box_x0020_7455 AutoShape_x0020_7457 AutoShape_x0020_82 Oval_x0020_7448" width="288" /><!--[endif]-->Ένας
οριζόντιος δίσκος ακτίνας <span lang="EN-US">R</span>
= 50 <span lang="EN-US">cm</span> περιστρέφεται γύρω
από κατακόρυφο άξονα, που περνά</div>
<div class="MsoNormal" style="line-height: 115%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 18.0pt; margin-right: -.05pt; margin-top: 0cm;">
από το κέντρο του Κ, όπως φαίνεται στο διπλανό
σχήμα. Καθώς ο δίσκος περιστρέφεται με συχνότητα<o:p></o:p></div>
<div class="MsoNormal" style="line-height: 115%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 18.0pt; margin-right: -.05pt; margin-top: 0cm;">
<span lang="EN-US">f</span> = 0,6 <span lang="EN-US">Hz</span>, δύο μυρμήγκια βρίσκονται ακίνητα στα σημεία Α
και Γ του δίσκου και περιστρέφονται μαζί με αυτόν, χωρίς να γλιστρούν προς τα
έξω.<o:p></o:p></div>
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Το Α βρίσκεται σε απόσταση <span lang="EN-US">R</span><span lang="EN-US"> </span>από το Κ, ενώ το
Γ σε απόσταση <span lang="EN-US">d</span> = <!--[if gte msEquation 12]><m:oMath><m:f><m:fPr><span
style='font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
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normal'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i style='mso-bidi-font-style:
normal'><span style='font-family:"Cambria Math","serif"'><m:r>R</m:r></span></i></m:num><m:den><i
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<div class="MsoListParagraphCxSpMiddle" style="line-height: 115%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 18.0pt; margin-right: -.05pt; margin-top: 0cm; mso-add-space: auto; tab-stops: 1.0cm;">
α) Να εξηγήσετε ποιο από τα δύο μυρμήγκια
έχει </div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 115%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 18.0pt; margin-right: -.05pt; margin-top: 0cm; mso-add-space: auto; tab-stops: 1.0cm;">
μεγαλύτερη περίοδο περιστροφής.<b> (μ.1)</b></div>
<div class="MsoListParagraphCxSpLast" style="margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 18.0pt; margin-right: -.05pt; margin-top: 0cm; mso-add-space: auto; tab-stops: 1.0cm;">
<b><o:p></o:p></b></div>
<div class="MsoNormal" style="margin-right: -.05pt; tab-stops: 1.0cm;">
<br /></div>
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<br /></div>
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β) Να αναφέρετε ποιο από τα δύο μυρμήγκια
έχει γραμμική ταχύτητα μεγαλύτερου μέτρου και</div>
<div class="MsoListParagraphCxSpLast" style="line-height: 115%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 18.0pt; margin-right: -.05pt; margin-top: 0cm; mso-add-space: auto; tab-stops: 1.0cm;">
να υπολογίσετε
το μέτρο της ταχύτητας αυτής.<b> (μ.2,5) </b></div>
<div style="background: white;">
<b> </b><b><span style="color: #29303b; font-family: "Bookman Old Style","serif"; font-size: 14.0pt;">1.</span></b><span style="color: #29303b; font-family: "Bookman Old Style","serif"; font-size: 14.0pt;"> <o:p></o:p></span></div>
<div class="MsoNormal" style="margin-right: -.05pt; tab-stops: 1.0cm;">
<b> </b><o:p></o:p></div>
<div class="MsoNormal" style="line-height: 150%;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<b><span style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%; mso-ansi-language: EL;">.</span></b><span style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%; mso-ansi-language: EL;"> Ένα σώμα μάζας 2</span><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%;">Kg</span><span style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%; mso-ansi-language: EL;"> περιστρέφεται εκτελώντας ομαλή κυκλική κίνηση σε
οριζόντιο επίπεδο όπως στο σχήμα, με γραμμική ταχύτητα μέτρου 6</span><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%;">m</span><span style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%; mso-ansi-language: EL;">/</span><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%;">s</span><span style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%; mso-ansi-language: EL;"> . Για την κυκλική κίνηση του σώματος απαιτείται
κεντρομόλος δύναμη μέτρου 100Ν .<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36.0pt; mso-layout-grid-align: none; text-autospace: none;">
<br /></div>
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προηγήθηκε, να σχεδιαστούν:<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 39.0pt; mso-list: l2 level1 lfo3; text-indent: -18.0pt;">
<!--[if !supportLists]--><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%; mso-fareast-font-family: Arial;">i.<span style="font-family: 'Times New Roman'; font-size: 7pt; line-height: normal;"> </span></span><!--[endif]--><span style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%; mso-ansi-language: EL;">το διάνυσμα της γωνιακής ταχύτητας. </span><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%;">(μον.1)<o:p></o:p></span></div>
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<!--[if !supportLists]--><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%; mso-fareast-font-family: Arial;">ii.<span style="font-family: 'Times New Roman'; font-size: 7pt; line-height: normal;"> </span></span><!--[endif]--><span style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%; mso-ansi-language: EL;">το διάνυσμα της γραμμικής ταχύτητας που έχει το σώμα. </span><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%;">(μον.1)<o:p></o:p></span></div>
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<!--[if !supportLists]--><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%; mso-fareast-font-family: Arial;">iii.<span style="font-family: 'Times New Roman'; font-size: 7pt; line-height: normal;"> </span></span><!--[endif]--><span style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%; mso-ansi-language: EL;">το διάνυσμα της κεντρομόλου δύναμης που δέχεται το σώμα.
</span><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%;">(μον.1)<o:p></o:p></span></div>
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<b><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%;">β) </span></b><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%;"> Να υπολογίσετε :<o:p></o:p></span></div>
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<!--[if !supportLists]--><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%; mso-fareast-font-family: Arial;">i.<span style="font-family: 'Times New Roman'; font-size: 7pt; line-height: normal;"> </span></span><!--[endif]--><span style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%; mso-ansi-language: EL;">την ακτίνα της κυκλικής τροχιάς του σώματος. </span><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%;">(μον.1)<o:p></o:p></span></div>
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<span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%;">……………………………………………………………………………………………………………………………………………………………………………………………………………………<o:p></o:p></span></div>
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<!--[if !supportLists]--><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%; mso-fareast-font-family: Arial;">ii.<span style="font-family: 'Times New Roman'; font-size: 7pt; line-height: normal;"> </span></span><!--[endif]--><span style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%; mso-ansi-language: EL;">τη γωνιακή ταχύτητα του σώματος. </span><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%;">(μον.1)<o:p></o:p></span></div>
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<span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%;">……………………………………………………………………………………………………………………………………………………………………………………………………………………<o:p></o:p></span></div>
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<!--[if !supportLists]--><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%; mso-fareast-font-family: Arial;">iii.<span style="font-family: 'Times New Roman'; font-size: 7pt; line-height: normal;"> </span></span><!--[endif]--><span style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%; mso-ansi-language: EL;">τη συχνότητα περιστροφής του σώματος. </span><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%;">(μον.1)<o:p></o:p></span></div>
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<span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%;">……………………………………………………………………………………………………………………………………………………………………………………………………………………</span><span style="font-family: "Arial","sans-serif"; font-size: 11.0pt; line-height: 150%; mso-ansi-language: EL;"><o:p></o:p></span></div>
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<b> </b><span style="color: #29303b; font-family: "Bookman Old Style","serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
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<span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;">Από όπλο που βρίσκεται σε ύψος </span><b><span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EN-US; mso-bidi-font-family: Arial;">h</span></b><b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-family: Arial;">=45</span></b><b><span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EN-US; mso-bidi-font-family: Arial;">m</span></b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"> εκτοξεύουμε οριζόντια βλήμα με
ταχύτητα </span><b><span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EN-US; mso-bidi-font-family: Arial;">U</span></b><b><sub><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-family: Arial;">0</span></sub></b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"> το οποίο συναντά το έδαφος σε
οριζόντια απόσταση</span><b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-family: Arial;"> ΑΒ=120</span></b><b><span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EN-US; mso-bidi-font-family: Arial;">m</span></b><span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"> </span><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;">από το σημείο βολής όπως φαίνεται στο πιο κάτω σχήμα. Ζητούνται: <o:p></o:p></span></div>
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<b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL;">(α).</span></b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"> Η ταχύτητα εκτόξευσης και ο
χρόνος πτήσης του βλήματος.</span><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-family: Arial; mso-bidi-font-weight: bold;"> </span><b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-family: Tahoma;">(4</span></b><b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-family: Tahoma;"> μον.)</span></b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"><o:p></o:p></span></div>
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<b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL;">(β).</span></b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"> Η ταχύτητα που θα κτυπήσει στο
έδαφός (<b>μέτρο φορά και διεύθυνση</b>). </span><b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-family: Tahoma;">(4</span></b><b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-family: Tahoma;"> μον.)<o:p></o:p></span></b></div>
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<b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL;">(γ).</span></b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"> Το ύψος από το έδαφος που θα
βρίσκεται το βλήμα μετά από χρόνο <b>2</b></span><b><span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EN-US;">s</span></b><span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"> </span><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;">από τη στιγμή της εκτόξευσης. </span><b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-family: Tahoma;">(2</span></b><b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-family: Tahoma;"> μον.)<o:p></o:p></span></b></div>
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<b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL;">(α) </span></b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;">Τι ονομάζουμε ομαλή κυκλική
κίνηση; Είναι μεταβαλλόμενη κίνηση; Αν ναι, γιατί; </span><b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-family: Tahoma;">(3</span></b><b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-family: Tahoma;"> μον.)</span></b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"> <o:p></o:p></span></div>
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<b><span style="font-family: "Arial Narrow","sans-serif"; font-size: 8.0pt; mso-ansi-language: EL;">.......................................................................................................................................................................................................................................................................................<o:p></o:p></span></b></div>
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<b><span style="font-family: "Arial Narrow","sans-serif"; font-size: 8.0pt; mso-ansi-language: EL;">.......................................................................................................................................................................................................................................................................................<o:p></o:p></span></b></div>
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<b><span style="font-family: "Arial Narrow","sans-serif"; font-size: 8.0pt; mso-ansi-language: EL;">.......................................................................................................................................................................................................................................................................................<o:p></o:p></span></b></div>
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<b><span style="font-family: "Arial Narrow","sans-serif"; font-size: 8.0pt; mso-ansi-language: EL;">.......................................................................................................................................................................................................................................................................................<o:p></o:p></span></b></div>
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<b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL;">(β). </span></b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;">Γράψετε τον ορισμό της περιόδου
και της συχνότητας. Ποια σχέση τις συνδέει; Να υπολογίσετε τη συχνότητα και την
περίοδο του δίσκου.</span><b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-family: Tahoma;"> (4</span></b><b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-family: Tahoma;"> μον.)</span></b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-family: Arial;"><o:p></o:p></span></div>
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<b><span style="font-family: "Arial Narrow","sans-serif"; font-size: 8.0pt; mso-ansi-language: EL;">.......................................................................................................................................................................................................................................................................................<o:p></o:p></span></b></div>
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<b><span style="font-family: "Arial Narrow","sans-serif"; font-size: 8.0pt; mso-ansi-language: EL;">.......................................................................................................................................................................................................................................................................................<o:p></o:p></span></b></div>
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<b><span style="font-family: "Arial Narrow","sans-serif"; font-size: 8.0pt; mso-ansi-language: EL;">.......................................................................................................................................................................................................................................................................................<o:p></o:p></span></b></div>
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<b><span style="font-family: "Arial Narrow","sans-serif"; font-size: 8.0pt; mso-ansi-language: EL;">.......................................................................................................................................................................................................................................................................................<o:p></o:p></span></b></div>
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<b><span style="font-family: "Arial Narrow","sans-serif"; font-size: 8.0pt; mso-ansi-language: EL;">.......................................................................................................................................................................................................................................................................................<o:p></o:p></span></b></div>
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<b><span style="font-family: "Arial Narrow","sans-serif"; font-size: 8.0pt; mso-ansi-language: EL;">.......................................................................................................................................................................................................................................................................................<o:p></o:p></span></b></div>
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<b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL;">(γ). </span></b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;">Να βρείτε τη γωνιακή και τη
γραμμική ταχύτητα του σημείου <b>Α</b> στη περιφέρεια του δίσκου. (Τις
απαντήσεις μπορείτε να τις γράψετε και σε <b>π</b>). <b><u>Να σχεδιάσετε τις
δυο ταχύτητες</u></b> στο πιο πάνω σχήμα.<b> </b></span><b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-family: Tahoma;"> (3</span></b><b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-family: Tahoma;"> μον.)</span></b><span style="font-family: "Arial Narrow","sans-serif"; mso-ansi-language: EL; mso-bidi-font-weight: bold;"><o:p></o:p></span></div>
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<b><span style="font-family: "Arial Narrow","sans-serif"; font-size: 8.0pt; mso-ansi-language: EL;">.......................................................................................................................................................................................................................................................................................<o:p></o:p></span></b></div>
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<b><span style="font-family: "Arial Narrow","sans-serif"; font-size: 8.0pt; mso-ansi-language: EL;">.......................................................................................................................................................................................................................................................................................<o:p></o:p></span></b></div>
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<b><span style="font-family: "Arial Narrow","sans-serif"; font-size: 8.0pt; mso-ansi-language: EL;">.......................................................................................................................................................................................................................................................................................<o:p></o:p></span></b></div>
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<b><span style="font-family: "Arial Narrow","sans-serif"; font-size: 8.0pt; mso-ansi-language: EL;">.......................................................................................................................................................................................................................................................................................<o:p></o:p></span></b></div>
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<b><span style="font-family: "Arial Narrow","sans-serif"; font-size: 8.0pt; mso-ansi-language: EL;">.......................................................................................................................................................................................................................................................................................<o:p></o:p></span></b></div>
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<b><span style="font-family: "Arial Narrow","sans-serif"; font-size: 8.0pt; mso-ansi-language: EL;">.......................................................................................................................................................................................................................................................................................<o:p></o:p></span></b></div>
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ΙΩΑΝΝΑ ΚΙΑΜΙΛΗhttp://www.blogger.com/profile/18290308512440353255noreply@blogger.com0tag:blogger.com,1999:blog-2486622782085177264.post-61922165816995567732013-12-23T06:07:00.002-08:002013-12-23T06:07:53.139-08:00ΕΚΦΡΑΣΗ ΕΚΘΕΣΗ Α ΛΥΚΕΙΟΥ 2014 ΝΕΟΕΛΛΗΝΙΚΗ ΓΛΩΣΣΑ<div dir="ltr" style="text-align: left;" trbidi="on">
ΕΚΦΡΑΣΗ ΕΚΘΕΣΗ Α ΛΥΚΕΙΟΥ 2014 ΝΕΟΕΛΛΗΝΙΚΗ ΓΛΩΣΣΑ<br />
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ΕΚΦΡΑΣΗ ΕΚΘΕΣΗ Α ΛΥΚΕΙΟΥ 2014 ΝΕΟΕΛΛΗΝΙΚΗ ΓΛΩΣΣΑ<br />
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ΝΕΟΕΛΛΗΝΙΚΗ ΓΛΩΣΣΑ</div>
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ΚΕΙΜΕΝΟ : «Η αγάπη του πλούτου»</div>
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Α)1.Να αποδώσετε περιληπτικά το περιεχόμενο του κειμένου<br style="margin: 0px; padding: 0px;" />(μον 25)</div>
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2. «Η αγάπη……….αναισχυντία» :να χωρίσετε την παράγραφο στα μέρη από τα<br style="margin: 0px; padding: 0px;" />οποία αποτελείται και να δώσετε έναν πλαγιότιτλο<br style="margin: 0px; padding: 0px;" />(μον 15)</div>
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3.α)Υπερβολικό , πολυτέλεια , πύλες , συγκατοικούνε , αυθάδεια : να δώσετε από<br style="margin: 0px; padding: 0px;" />ένα συνώνυμο για καθεμιά από τις παραπάνω λέξεις.<br style="margin: 0px; padding: 0px;" />(μον 5)</div>
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β)Μόνιμη , καταδουλώνουν , νόθα , αγάπη , καλύτερα : να δώσετε από ένα<br style="margin: 0px; padding: 0px;" />αντώνυμο για καθεμιά από τις παρακάτω λέξεις.<br style="margin: 0px; padding: 0px;" />(μον 5)</div>
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Β)Για ποιους λόγους πιστεύετε ότι ο σημερινός άνθρωπος ενδιαφέρεται περισσότερο<br style="margin: 0px; padding: 0px;" />για την απόκτηση υλικών αγαθών , ενώ αντίθετα παραμελεί την πνευματική και<br style="margin: 0px; padding: 0px;" />ψυχική του καλλιέργεια;<br style="margin: 0px; padding: 0px;" />Αναπτύξτε τις απόψεις σας σε ένα άρθρο 400-500 λέξεων που θα δημοσιευτεί στην<br style="margin: 0px; padding: 0px;" />εφημερίδα του σχολείου σας.<br style="margin: 0px; padding: 0px;" />(μον 50)</div>
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ΝΕΟΕΛΛΗΝΙΚΗ ΓΛΩΣΣΑ</div>
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Ε Ρ Ω Τ Η Σ Ε Ι Σ</div>
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Α) Να γράψετε περίληψη του κειμένου που σας δόθηκε, σε σαράντα ως εβδομήντα</div>
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λέξεις.</div>
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( 25 μον. )</div>
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Β) Ι. 1: Σημειώνοντας στην απάντησή σας το αντίστοιχο γράμμα (α,β,γ ή δ) να</div>
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επιλέξετε τη σωστή πρόταση, σύμφωνα με το περιεχόμενο του δοσμένου κειμένου:</div>
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α) Το κείμενο αυτό αναφέρεται στο πρόβλημα του καταναλωτισμού της νεοελληνικής</div>
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κοινωνίας.</div>
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β) Το κείμενο αυτό αναφέρεται στα εθνικά ζητήματα της Ελλάδας.</div>
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γ) Το κείμενο αυτό αναφέρεται στο ομαδικό παιχνίδι.</div>
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δ) Το κείμενο αυτό αναφέρεται στα φοιτητικά προβλήματα.</div>
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2: Για κάθε μια από τις παρακάτω προτάσεις να γράψετε το αντίστοιχο</div>
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γράμμα της πρότασης και δίπλα την ένδειξη Σωστό ή Λάθος, σύμφωνα με το</div>
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νόημα του κειμένου.</div>
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α) Ο ανώτατος σκοπός του παιχνιδιού είναι η νίκη.</div>
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β) Ο ανώτατος σκοπός του παιχνιδιού δεν είναι η νίκη.</div>
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γ) Η αντίθετη ομάδα δεν είναι αντίμαχη, γιατί χωρίς αυτή δεν θα υπήρχε παιχνίδι.</div>
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δ) Η αντίθετη ομάδα είναι αντίμαχη, γιατί χωρίς αυτή δεν θα υπήρχε παιχνίδι.</div>
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( 6.25 μον)</div>
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ΙΙ. Να δώσετε πλαγιότιτλο στην τελευταία από τις θεματικές ενότητες ( 6.25 μον.)</div>
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ΙΙΙ. Για κάθε μια υπογραμμισμένη λέξη του κειμένου να γράψετε μια αντώνυμη.</div>
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(6.25 μον. )</div>
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ΙV. Να εντοπίσεις στο δοσμένο κείμενο τρεις Υποτακτικές ρημάτων και να εξηγήσεις</div>
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την επίδρασή τους στο ύφος του κειμένου. (6.25 μον. )</div>
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Γ) Σε σχετική συζήτηση με τους συμμαθητές σας στην αυλή του σχολείου</div>
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περιγράφετε μια αξέχαστη προσωπική εμπειρία σας ομαδικού παιχνιδιού σε 120 ως</div>
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180 λέξεις. ( 50μον. )</div>
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ΝΕΟΕΛΛΗΝΙΚΗ ΓΛΩΣΣΑ</div>
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Α. Κείμενο</div>
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Πόσο η εξωτερική εμφάνιση (φόρεμα προπάντων αλλά και κόμμωση, στάση, περπάτημα)</div>
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είναι συνάρτηση της εσωτερικής μας δομής, φαίνεται από το γεγονός ότι και μόνο από τον</div>
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τρόπο που ντύνεται ένας άνθρωπος μπορεί να μαντέψει το επάγγελμα, την κοινωνική θέση,</div>
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την παιδεία του, αλλά και πολλές πτυχές του χαρακτήρα του: το βάθος της ψυχής του, τις</div>
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βλέψεις και τις επιδιώξεις του, τις διαστάσεις του αισθηματικού του κόσμου, το τι θέλει και</div>
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μπορεί να πάρει και να δώσει στη ζωή, το πόσο εμπιστεύεται τον εαυτό του και τους άλλους</div>
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ανθρώπους, αν λογαριάζει ή όχι τα μέτρα και τις συνήθειες του συλλογικού βίου. Άλλοτε</div>
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(π.χ. στους μεσαιωνικούς χρόνους της Ευρώπης) υπήρχε μεγάλη ελευθερία στο ντύσιμο, και</div>
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ο καθένας έδειχνε, μαζί με το γούστο, και τη φαντασία του στη μορφή και στα χρώματα των</div>
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φορεμάτων του. (Κάτι που τώρα θεωρείται μόνο προνόμιο των γυναικών). Αλλά και σήμερα</div>
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που το φόρεμα έχει σε μεγάλη κλίμακα διεθνοποιηθεί και τυποποιηθεί, υπάρχουν μεγάλα</div>
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περιθώρια για την πρωτοβουλία μας. Και ένα οξύ βλέμμα μπορεί από την αμφίεση και μόνο</div>
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να ξεχωρίσει τον φιλάρεσκο από τον αδιάφορο· τον ματαιόδοξο από τον ταπεινό· τον</div>
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επιτηδευμένο και περίπλοκο από τον αφελή και απλό- εκείνον που ζητεί να πάρει από τους</div>
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άλλους σημασία, απ’ αυτόν που γνωρίζει ότι την έχει· τον ασταθή και αβέβαιο από τον</div>
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ήσυχο και σίγουρο· τον άνθρωπο με θολό και βάναυσο από τον άνθρωπο με λεπτό και</div>
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καθαρό αισθηματικό κόσμο· τον επιτήδειο, αλλά και επικίνδυνο από τον αδέξιο και αγαθό·</div>
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τον ονειροπόλο από τον πρακτικό· τον άνθρωπο της άμεσης και γρήγορης εντύπωσης από</div>
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εκείνον που ξέρει και προτιμά να περιμένει· αυτόν που δεν εννοεί να παραιτηθεί και επιμένει</div>
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στις χαρές της ζωής, απ’ αυτόν που αποφάσισε ή προσποιείται ότι θέλει να συνθηκολογήσει</div>
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με τον κάματο, τις απογοητεύσεις ή την ευπρέπεια, και ούτω καθεξής.</div>
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Ε.Π. Παπανούτσου, Πρακτική φιλοσοφία</div>
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Β. Παρατηρήσεις</div>
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1. Να γράψετε μια περίληψη του κειμένου 80 περίπου λέξεων (25 μονάδες)</div>
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2. Να γράψετε ένα αντώνυμο των παρακάτω λέξεων του κειμένου: εσωτερικής, ταπεινό,</div>
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περίπλοκο, επικίνδυνο, άμεσης. (10 μονάδες)</div>
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3. Να αναπτύξετε την άποψη του συγγραφέα «και μόνο από τον τρόπο που ντύνεται ένας</div>
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άνθρωπος μπορεί να μαντέψει το επάγγελμα, την κοινωνική θέση την παιδεία του,» σε μια</div>
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παράγραφο 80 λέξεων. (15 μονάδες)</div>
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4. Να γράψετε ένα άρθρο 400 λέξεων όπου θα αναπτύσσετε το θέμα αν η ενδυμασία αποτελεί</div>
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χαρακτηριστικό της κοινωνικής συμπεριφοράς του ανθρώπου και πιο είναι το κριτήριο που</div>
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καθορίζει τις δικές σας επιλογές σε θέματα μόδας. (50 μονάδες)</div>
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ΝΕΟΕΛΛΗΝΙΚΗ ΓΛΩΣΣΑ</div>
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ΚΕΙΜΕΝΟ : «Η αγάπη του πλούτου»</div>
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Α)1.Να αποδώσετε περιληπτικά το περιεχόμενο του κειμένου</div>
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(μον 25)</div>
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2. «Η αγάπη……….αναισχυντία» :να χωρίσετε την παράγραφο στα μέρη από τα</div>
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οποία αποτελείται και να δώσετε έναν πλαγιότιτλο</div>
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(μον 15)</div>
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3.α)Υπερβολικό , πολυτέλεια , πύλες , συγκατοικούνε , αυθάδεια : να δώσετε από</div>
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ένα συνώνυμο για καθεμιά από τις παραπάνω λέξεις.</div>
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(μον 5)</div>
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β)Μόνιμη , καταδουλώνουν , νόθα , αγάπη , καλύτερα : να δώσετε από ένα</div>
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αντώνυμο για καθεμιά από τις παρακάτω λέξεις.</div>
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(μον 5)</div>
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Β)Για ποιους λόγους πιστεύετε ότι ο σημερινός άνθρωπος ενδιαφέρεται περισσότερο</div>
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για την απόκτηση υλικών αγαθών , ενώ αντίθετα παραμελεί την πνευματική και</div>
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ψυχική του καλλιέργεια;</div>
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Αναπτύξτε τις απόψεις σας σε ένα άρθρο 400-500 λέξεων που θα δημοσιευτεί στην</div>
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εφημερίδα του σχολείου σας.</div>
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(μον 50)</div>
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ΝΕΟΕΛΛΗΝΙΚΗ ΓΛΩΣΣΑ (ΕΚΦΡΑΣΗ-ΕΚΘΕΣΗ)</div>
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Κείμενο:</div>
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Τι είναι η εφηβεία;</div>
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Η εφηβεία είναι η περίοδος της μετάβασης από την παιδική στην ώριμη ηλικία και</div>
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έχει για κέντρο της την ήβη. Για να πούμε την αλήθεια τα όριά της είναι ασαφή.</div>
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Η εφηβεία είναι σαν μια δεύτερη γέννηση που γίνεται προοδευτικά και πολλές</div>
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φορές προκαλεί και ψυχικό πόνο. Η εφηβεία είναι πάντα μια κίνηση γεμάτη δύναμη,</div>
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υποσχέσεις και ζωή που μοιάζει με το νερό που αναβλύζει Αυτή η ορμητικότητα</div>
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συχνά αποπροσανατολίζει τον έφηβο. Αν και γνωρίζουμε αυτό που πεθαίνει μέσα</div>
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μας, δεν ξεχωρίζουμε ακόμα προς τα που πηγαίνουμε ούτε ξέρουμε να εξηγήσουμε</div>
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τους λόγους για την αλλαγή της ζωής και της συμπεριφοράς μας. Αν και τίποτα δεν</div>
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είναι όπως πριν όλα είναι απροσδιόριστα.</div>
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Για παράδειγμα, η αλλαγή της φωνής είναι επώδυνη για τ’ αγόρια, γιατί είναι</div>
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πολύ σκληρό να πενθεί κανείς την φωνή με την οποία αναγνώριζε τον εαυτό του για</div>
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πολλά χρόνια. Υπάρχει έλλειψη αυτοπεποίθησης, μια διάχυτη ανασφάλεια, αλλά</div>
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παράλληλα και μια επιθυμία να την ξεπεράσουμε. Την ίδια στιγμή που χρειαζόμαστε</div>
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τον έλεγχο των μεγάλων, χρειαζόμαστε και την ελευθερία μας, και η ισορροπία</div>
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ανάμεσα σ’ αυτά τα δυο δεν είναι εύκολο να βρεθεί. Για τους γονείς αλλά και για τα</div>
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παιδιά η ιδανική λύση διαφέρει ανάλογα με τις ημέρες και τις περιστάσεις.</div>
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Νιώθουμε ότι το ν’ αποχωριστούμε μια μέρα τους γονείς μας είναι ζωτικής</div>
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σημασίας για μας. Αυτό σημαίνει ήδη ότι κάποια μορφή σχέσης μαζί τους πρέπει να</div>
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αλλάξει. Θέλουμε να φτιάξουμε μια διαφορετική ζωή. Ποια ζωή όμως; Δεν θέλουμε</div>
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πάντοτε να έχουμε την ίδια ζωή μαζί τους. Βλέποντάς τους να ζουν νομίζουμε καμιά</div>
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φορά ότι βλέπουμε το δικό μας μέλλον και κάτι τέτοιο μας τρομάζει.</div>
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Νιώθουμε ότι γλιστράμε σ’ έναν κατήφορο, χωρίς να μπορούμε να</div>
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σταματήσουμε. Χάνουμε τους τρόπους που έχουμε να αμυνόμαστε, τα συνηθισμένα</div>
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μέσα επικοινωνίας, χωρίς από την άλλη να έχουμε καταφέρει να εφεύρουμε άλλα.</div>
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Οι αστακοί, όταν αλλάζουν εξωτερικό περίβλημα, χάνουν κατ’ αρχήν το παλιό</div>
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και μένουν χωρίς καμία άμυνα όσο χρόνο χρειάζεται για να φτιάξουν ένα καινούριο.</div>
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Σε όλο αυτό το διάστημα κινδυνεύουν πολύ. Στους εφήβους συμβαίνει περίπου το</div>
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ίδιο. Και το να φτιάξουν ένα καινούριο περίβλημα στοιχίζει τόσα δάκρυα και τόσο</div>
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ιδρώτα που είναι σαν να το πληρώνουν με αίμα. Στα λημέρια του ανυπεράσπιστου</div>
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αστακού παραμονεύει πάντοτε ένα μουγγρί, που είναι έτοιμο να τον κατασπαράξει. Η</div>
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εφηβεία είναι «το δράμα του αστακού»! Το δικό μας «μουγγρί» είναι όλα τα</div>
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απειλητικά πράγματα που βρίσκονται μέσα μας αλλά και έξω από μας και που συχνά</div>
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δεν τα συλλογιζόμαστε.</div>
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Το «μουγγρί» ίσως είναι το μωρό που κάποτε υπήρξαμε, που δεν θέλει να</div>
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εξαφανιστεί και που φοβάται μήπως χάσει την προστασία των γονιών του. Μας</div>
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κρατά στην παιδική ηλικία και εμποδίζει να γεννηθεί ο μελλοντικός ενήλικος εαυτός</div>
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μας. Το «μουγγρί» είναι, ακόμα, το θυμωμένο παιδί που πιστεύει ότι</div>
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ενηλικιωνόμαστε, όταν «τρώμε» κάτι από τους ενηλίκους. Το «μουγγρί» είναι, ίσως,</div>
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ακόμα, αυτοί οι επικίνδυνοι και καμιά φορά ωφελιμιστές ενήλικοι που τριγυρνούν</div>
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γύρω από τους εφήβους επειδή τους βλέπουν τρωτούς. Οι γονείς ξέρουν ότι υπάρχουν</div>
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τέτοιου είδους άνθρωποι και ότι μας παραμονεύουν κίνδυνοι. Ακόμα κι αν μας</div>
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δυσαρεστεί να το παραδεχτούμε, έχουν συχνά δίκιο όταν μας προτρέπουν να είμαστε</div>
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συνετοί.</div>
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Δεν υπάρχει εφηβεία χωρίς προβλήματα, χωρίς πόνο. Είναι ίσως η πιο</div>
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επώδυνη περίοδος της ζωής. Η παγίδα στην οποία κινδυνεύουμε να πέσουμε</div>
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βρίσκεται στο ότι επιθυμούμε να αποφύγουμε οτιδήποτε είναι δύσκολο. Να ξεφύγουμε από τον εαυτό μας και να ριχτούμε σε αμφίβολες ή επικίνδυνες περιπέτειες, παρασυρμένοι από ανθρώπους που γνωρίζουν τα εύθραυστα σημεία των εφήβων, ή ακόμα να οχυρωθούμε πίσω από ένα ψεύτικο κέλυφος. Άρα, η εφηβεία είναι πάντα δύσκολη αλλά, εάν οι γονείς και τα παιδιά εμπιστεύονται τη ζωή, τότε όλα στο τέλος κανονίζονται. (Φ. Ντολτό – Κ. Ντολτό – Τόλιτς, Έφηβοι. Προβλήματα και ανησυχίες, Θεσσαλονίκη1999, σ. 15-18) Α. Να δοθεί η περίληψη του παραπάνω κειμένου σε 80 – 100 λέξεις. (Μόρια 25) Β. 1. Ποια είναι, σύμφωνα με τον συγγραφέα, η σχέση των εφήβων με τους γονείς τους; Να απαντήσετε σε μια παράγραφο. (Μόρια 5) 2.α) Με ποια μέθοδο έχει αναπτυχθεί η παράγραφος: «Οι αστακοί…..συλλογιζόμαστε»; Με τι παρομοιάζεται σ΄ αυτήν η εφηβεία; (Μόρια 2,5) β) Ποια παράγραφος αποτελεί τον επίλογο του κειμένου αυτού; Να την χωρίσετε στα δομικά της μέρη (ΘΕΜΑΤΙΚΗ ΠΕΡΙΟΔΟΣ – ΑΝΑΠΤΥΞΗ / ΣΧΟΛΙΑ – ΚΑΤΑΚΛΕΙΔΑ). (Μόρια 2,5) 3. α) Να δοθούν τα αντώνυμα των παρακάτω λέξεων: επικίνδυνες επώδυνη συνηθισμένα επιτρέπει εύθραυστα (Μόρια 2,5) β) Να υπογραμμίσετε την λέξη που δεν είναι συνώνυμη με τις υπόλοιπες: (i) περίβλημα απόφθεγμα κουκούλι κέλυφος (ii) λημέρι λιμάνι οχυρό καταφύγιο (iii) ψεύτικο κίβδηλο κάλπικο απροσδιόριστο (iv) προστασία επιφύλαξη προφύλαξη προάσπιση (Μόρια 2,5) γ) Να αντικαταστήσετε κάθε λέξη με μια συνώνυμη: οχυρωθούμε, κανονίζονται, τρωτούς, ασαφή, συλλογιζόμαστε (Μόρια 2,5) δ) λόγους: Από την λέξη αυτή να σχηματίσετε τρία σύνθετα που να την έχουν α’ συνθετικό (π.χ. λογοκόπος) και τρία σύνθετα που να την έχουν β’ συνθετικό (π.χ. γλωσσολόγος) (Μόρια 2,5) 4. Στις προτάσεις που ακολουθούν να διακρίνετε που χρησιμοποιείται η γλώσσα με την αναφορική και που με την ποιητική της λειτουργία: - Η εφηβεία είναι το δράμα του αστακού. - Η εφηβεία είναι πάντα δύσκολη. - Οι γονείς έχουν δίκιο όταν μας προτρέπουν να είμαστε συνετοί. - Η εφηβεία είναι μια κίνηση γεμάτη δύναμη, υποσχέσεις και ζωή που μοιάζει με το νερό που αναβλύζει. (Μόρια 5) Γ. Έκθεση: Να συντάξετε ένα κείμενο ομιλίας για σχολική εκδήλωση με θέμα: «Στις μέρες μας παρατηρείται έντονα το φαινόμενο πολλοί έφηβοι να παραμελούν τα μαθήματά τους και να απορρίπτουν κάποιους από τους κλάδους γνώσης που προσφέρει το σχολείο. Για ποιους λόγους πιστεύετε ότι συμβαίνει αυτό και τι οφείλει να κάνει η οικογένεια και το ίδιο το σχολείο, για να εξασφαλίσουν στους εφήβους ένα καλύτερο μέλλον, μακριά από κακές επιλογές;» Το κείμενό σας να έχει έκταση περίπου 300 λέξεις. (Μόρια 50)</div>
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ΙΩΑΝΝΑ ΚΙΑΜΙΛΗhttp://www.blogger.com/profile/18290308512440353255noreply@blogger.com0tag:blogger.com,1999:blog-2486622782085177264.post-52682331372244786852013-12-22T12:17:00.002-08:002013-12-22T12:17:36.614-08:00Διαγώνισμα στο μάθημα της Φυσικής Α’ Λυκείου<div dir="ltr" style="text-align: left;" trbidi="on">
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<b><span style="font-family: "Arial Black","sans-serif";">Διαγώνισμα στο
μάθημα της Φυσικής Α’ Λυκείου <o:p></o:p></span></b></div>
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<span style="font-family: "Arial Black","sans-serif";">Ονοματεπώνυμο.......................................................................................
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<!--[if !supportLists]--><span style="font-family: "Arial","sans-serif"; mso-bidi-font-size: 14.0pt; mso-fareast-font-family: Arial;">1.<span style="font-family: 'Times New Roman'; font-size: 7pt;">
</span></span><!--[endif]--><span style="font-family: "Arial","sans-serif"; mso-fareast-font-family: PMingLiU;"> </span><span style="font-size: 14.0pt;">Να δώσετε τον ορισμό της ταχύτητας<b>. </b></span><b><span style="font-size: 14.0pt; mso-fareast-font-family: "Arial Unicode MS";"> (μ.2)</span></b><span style="font-size: 14.0pt;"><o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-fareast-font-family: PMingLiU;">…………………………………………………………………………………………………</span><span lang="EN-US" style="font-family: "Arial","sans-serif"; mso-ansi-language: EN-US; mso-fareast-font-family: PMingLiU;"><o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-fareast-font-family: PMingLiU;">…………………………………………………………………………………………………<o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-fareast-font-family: PMingLiU;"> </span><b><span style="font-family: "Arial","sans-serif"; font-size: 14.0pt; mso-fareast-font-family: PMingLiU;">2.</span></b><span style="font-family: "Arial","sans-serif"; mso-fareast-font-family: PMingLiU;"> Στο </span><span style="font-family: "Arial","sans-serif"; mso-fareast-font-family: PMingLiU; mso-fareast-language: ZH-CN;">πιο κάτω διάγραμμα δίν</span><span style="font-family: "Arial","sans-serif"; mso-fareast-font-family: PMingLiU;">εται
η γραφική παράσταση της θέσης σε συνάρτηση με το χρόνο, </span><span lang="EN-GB" style="font-family: "Arial","sans-serif"; mso-ansi-language: EN-GB; mso-fareast-font-family: PMingLiU;">x</span><span style="font-family: "Arial","sans-serif"; mso-fareast-font-family: PMingLiU;">=</span><span lang="EN-GB" style="font-family: "Arial","sans-serif"; mso-ansi-language: EN-GB; mso-fareast-font-family: PMingLiU;">f</span><span style="font-family: "Arial","sans-serif"; mso-fareast-font-family: PMingLiU;">(</span><span lang="EN-GB" style="font-family: "Arial","sans-serif"; mso-ansi-language: EN-GB; mso-fareast-font-family: PMingLiU;">t</span><span style="font-family: "Arial","sans-serif"; mso-fareast-font-family: PMingLiU;">), για δύο σώματα </span><span lang="EN-US" style="font-family: "Arial","sans-serif"; mso-ansi-language: EN-US; mso-fareast-font-family: PMingLiU;">A</span><span style="font-family: "Arial","sans-serif"; mso-fareast-font-family: PMingLiU;"> και Β που κινούνται ευθύγραμμα. </span><span lang="EN-US" style="font-family: "Arial","sans-serif"; mso-ansi-language: EN-US; mso-fareast-font-family: PMingLiU;">A</span><span style="font-family: "Arial","sans-serif"; mso-fareast-font-family: PMingLiU;">) Να εξηγήσετε ποιο από τα δύο σώματα
κινείται με μεγαλύτερη ταχύτητα. (μ.1)<o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-fareast-font-family: Calibri;">……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………</span><span style="font-family: "Arial","sans-serif";"> </span><span lang="EN-US" style="font-family: "Arial","sans-serif"; mso-ansi-language: EN-US;">B</span><span style="font-family: "Arial","sans-serif";">) </span><span style="font-family: "Arial","sans-serif"; mso-fareast-font-family: Calibri;">Να υπολογίσετε τις
ταχύτητες των δύο κινητών</span><span style="font-family: "Arial","sans-serif";">
</span><span style="font-family: "Arial","sans-serif"; mso-fareast-font-family: PMingLiU;">(μ.1)</span><span style="font-family: "Arial","sans-serif"; mso-fareast-font-family: Calibri;">…………………………………………………………………………..…………………..……………………………………………………………………………………………………………………………………………………………………………………</span><span style="font-family: "Arial","sans-serif"; mso-fareast-font-family: PMingLiU;"><o:p></o:p></span></div>
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<b><span style="font-family: "Arial","sans-serif"; font-size: 14.0pt; line-height: 115%;">
3.</span></b><span style="font-family: "Arial","sans-serif";"> Ένα
αυτοκίνητο κινείται σε ευθύγραμμο δρόμο με σταθερή ταχύτητα όπως φαίνεται στο πιο
κάτω σχήμα. Τη χρονική στιγμή t<sub>1</sub>=0s το αυτοκίνητο περνά από τη θέση
x<sub>1</sub>=-20m και τη χρονική στιγμή t<sub>2</sub>=5s το αυτοκίνητο περνά από τη
θέση x<sub>2</sub>=20m. </span><o:p></o:p></div>
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<br /></div>
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<br />
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<span style="font-family: "Arial","sans-serif";">
i. Να υπολογίσετε την ταχύτητα του αυτοκινήτου. (μ.2)<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; tab-stops: 14.2pt; text-align: justify;">
<span style="font-family: "Arial","sans-serif";">………………………………………………………………………………………………… <o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; tab-stops: 14.2pt; text-align: justify;">
<span style="font-family: "Arial","sans-serif";">ii. Να υπολογίσετε τη μετατόπιση του
αυτοκινήτου για το χρονικό διάστημα 0-10s. (μ.2) ……………………………………………………………………………………………<o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif";">
iii. Να καθορίσετε τη θέση στην οποία θα βρίσκεται το αυτοκίνητο τη
χρονική στιγμή t=10s. (μ.2) ………………………………………………………………………………………</span><span style="font-family: "Arial","sans-serif"; mso-fareast-font-family: PMingLiU;"> </span><span lang="EN-US" style="font-family: "Arial","sans-serif"; mso-ansi-language: EN-US; mso-fareast-font-family: PMingLiU;"><o:p></o:p></span></div>
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<!--[if !supportLists]--><b><span style="font-family: "Arial","sans-serif"; font-size: 14.0pt; mso-fareast-font-family: Arial;">4.<span style="font-family: 'Times New Roman'; font-size: 7pt; font-weight: normal;">
</span></span></b><!--[endif]--><span style="font-family: "Arial","sans-serif"; mso-bidi-font-weight: bold;">Κατά την πειραματική μελέτη της ευθύγραμμης κίνησης
δύο κινητών με τη χρήση χρονομετρητή (</span><span lang="EN-US" style="font-family: "Arial","sans-serif"; mso-ansi-language: EN-US; mso-bidi-font-weight: bold;">ticket</span><span style="font-family: "Arial","sans-serif"; mso-bidi-font-weight: bold;">-</span><span lang="EN-US" style="font-family: "Arial","sans-serif"; mso-ansi-language: EN-US; mso-bidi-font-weight: bold;">timer</span><span style="font-family: "Arial","sans-serif"; mso-bidi-font-weight: bold;">), προέκυψαν οι πιο κάτω ταινίες:</span><span style="font-family: "Arial","sans-serif";"> <o:p></o:p></span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 13.0pt; mso-ansi-language: EL;"> (Α) </span><span style="font-family: "Times New Roman","serif"; font-size: 13.0pt; mso-ansi-language: EL; mso-fareast-language: EL; mso-no-proof: yes;"><!--[if gte vml 1]><v:shape id="Picture_x0020_6" o:spid="_x0000_i1047"
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 13.0pt; mso-ansi-language: EL;"> (Β) </span><span style="font-family: "Times New Roman","serif"; font-size: 13.0pt; mso-ansi-language: EL; mso-fareast-language: EL; mso-no-proof: yes;"><!--[if gte vml 1]><v:shape id="Picture_x0020_24" o:spid="_x0000_i1031"
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o:spid="_x0000_i1026" type="#_x0000_t75" alt="bd14583_" style='width:8.25pt;
height:9pt;visibility:visible;mso-wrap-style:square'>
<v:imagedata src="file:///C:\Users\8210~1\AppData\Local\Temp\msohtmlclip1\01\clip_image007.gif"
o:title="bd14583_"/>
</v:shape><![endif]--><!--[if !vml]--><img alt="bd14583_" height="12" src="file:///C:/Users/8210~1/AppData/Local/Temp/msohtmlclip1/01/clip_image007.gif" v:shapes="Picture_x0020_29" width="11" /><!--[endif]--></span><span style="font-family: "Times New Roman","serif"; font-size: 13.0pt; mso-ansi-language: EL;"> <o:p></o:p></span></div>
<div class="MsoHeader" style="line-height: 115%; margin-bottom: 12.0pt; margin-left: 11.25pt; margin-right: 0cm; margin-top: 0cm;">
<br /></div>
<div class="MsoNormal">
<span lang="EN-US"> </span> <!--[if gte vml 1]><v:shape
id="Εικόνα_x0020_14" o:spid="_x0000_i1025" type="#_x0000_t75" style='width:302.25pt;
height:40.5pt;visibility:visible;mso-wrap-style:square'>
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<div class="MsoNormal" style="tab-stops: 77.25pt; text-align: justify;">
<span style="font-family: "Arial","sans-serif"; mso-bidi-font-weight: bold;">Το χρονικό
διάστημα μεταξύ δυο διαδοχικών κουκκίδων είναι <b>0,02 </b></span><b><span lang="EN-US" style="font-family: "Arial","sans-serif"; mso-ansi-language: EN-US;">s</span></b><span style="font-family: "Arial","sans-serif"; mso-bidi-font-weight: bold;">.</span><span style="font-family: "Arial","sans-serif";"><o:p></o:p></span></div>
<div class="MsoNormal">
<b><span style="font-family: "Arial","sans-serif";">(α)</span></b><span style="font-family: "Arial","sans-serif";"> Να εξηγήσετε τι είδους κίνηση
εκτελούν τα δύο κινητά.
<b>(μον. 1)</b><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; tab-stops: 14.2pt;">
<span style="font-family: "Arial","sans-serif";">………………………………………………………………………………..…………………</span><span style="font-family: "Arial","sans-serif"; mso-fareast-font-family: PMingLiU;"><o:p></o:p></span></div>
<div class="MsoNormal" style="tab-stops: 0cm; text-align: justify;">
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mso-wrap-distance-left:9pt;mso-wrap-distance-top:0;mso-wrap-distance-right:9pt;
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</v:shape><![endif]--><!--[if !vml]--><img align="left" height="284" hspace="12" src="file:///C:/Users/8210~1/AppData/Local/Temp/msohtmlclip1/01/clip_image011.gif" v:shapes="Εικόνα_x0020_23" width="367" /><!--[endif]--><span style="font-family: "Arial","sans-serif"; mso-fareast-font-family: PMingLiU;"> </span><b><span style="font-family: "Arial","sans-serif";">(β)</span></b><span style="font-family: "Arial","sans-serif";"> Να εξηγήσετε ποιο από τα δύο κινητά έχει τη μεγαλύτερη
ταχύτητα. <b>(μον. 1)</b> <o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif";"> ……………………………………………………………… <b><o:p></o:p></b></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-fareast-font-family: PMingLiU;"> </span><b><span style="font-family: "Arial","sans-serif";">γ)</span></b><span style="font-family: "Arial","sans-serif";"> Να σχεδιάσετε, σε βαθμολογημένους άξονες, τη γραφική παράσταση θέσης–χρόνου </span><b><span lang="EN-GB" style="font-family: "Arial","sans-serif"; mso-ansi-language: EN-GB; mso-no-proof: yes;">x</span></b><b><span style="font-family: "Arial","sans-serif"; mso-no-proof: yes;"> = </span></b><b><span lang="EN-GB" style="font-family: "Arial","sans-serif"; mso-ansi-language: EN-GB; mso-no-proof: yes;">f</span></b><b><span style="font-family: "Arial","sans-serif"; mso-no-proof: yes;">(</span></b><b><span lang="EN-GB" style="font-family: "Arial","sans-serif"; mso-ansi-language: EN-GB; mso-no-proof: yes;">t</span></b><b><span style="font-family: "Arial","sans-serif"; mso-no-proof: yes;">)</span></b><span style="font-family: "Arial","sans-serif"; mso-no-proof: yes;"> για τα δύο κινητά.</span><span style="font-family: "Arial","sans-serif";"> <b>(μον. 2)</b><o:p></o:p></span></div>
<div class="MsoNormal" style="tab-stops: 77.25pt; text-align: justify;">
<b><span style="font-family: "Arial","sans-serif";">(δ)</span></b><span style="font-family: "Arial","sans-serif";"> Να υπολογίσετε τις ταχύτητες των δύο
κινητών, χρησιμοποιώντας τις ταινίες
και τη ρίγα του σχήματος.
<b>(μον. 2)<o:p></o:p></b></span></div>
<div class="MsoNormal" style="tab-stops: 77.25pt; text-align: justify;">
<span style="font-family: "Arial","sans-serif";">………………………………………………………………<o:p></o:p></span></div>
<div class="MsoNormal" style="tab-stops: 77.25pt; text-align: justify;">
<span style="font-family: "Arial","sans-serif";">………………………………………………………………<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; margin-left: 0cm; mso-add-space: auto; text-align: justify;">
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mso-wrap-distance-top:0;mso-wrap-distance-right:9pt;
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<v:imagedata src="file:///C:\Users\8210~1\AppData\Local\Temp\msohtmlclip1\01\clip_image012.emz"
o:title="" gain="142470f" blacklevel="-12452f"/>
<w:wrap type="square" anchorx="margin" anchory="margin"/>
</v:shape><![endif]--><!--[if !vml]--><img align="left" height="173" hspace="12" src="file:///C:/Users/8210~1/AppData/Local/Temp/msohtmlclip1/01/clip_image013.gif" v:shapes="Εικόνα_x0020_133" width="229" /><!--[endif]--><b><span style="font-family: "Times New Roman","serif"; font-size: 16.0pt; line-height: 150%; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">5.</span></b><span style="font-family: "Times New Roman","serif"; font-size: 14.0pt; line-height: 150%; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;"> Ένα
σώμα κινείται σε ευθύγραμμη τροχιά και το διάγραμμα θέσης-χρόνου φαίνεται στο
παρακάτω διάγραμμα. </span><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 14.0pt; line-height: 150%; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">N</span><span style="font-family: "Times New Roman","serif"; font-size: 14.0pt; line-height: 150%; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">α
υπολογιστούν:</span><span style="font-family: "Times New Roman","serif"; font-size: 14.0pt; line-height: 150%; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi; mso-fareast-language: EL; mso-no-proof: yes;"> <o:p></o:p></span></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; margin-left: 0cm; mso-add-space: auto; text-align: justify;">
<span style="font-size: 14.0pt; line-height: 150%;">Α) Να υπολογίσετε για το σύνολο της κίνησής του :<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 1.0cm; tab-stops: 1.0cm 42.55pt; text-align: justify; text-indent: -14.15pt;">
<b><span style="font-size: 14.0pt; line-height: 115%;"> </span></b><b><span lang="EN-GB" style="font-size: 14.0pt; line-height: 115%; mso-ansi-language: EN-GB;">i</span></b><b><span style="font-size: 14.0pt; line-height: 115%;">) </span></b><span style="font-size: 14.0pt; line-height: 115%;">τη μετατόπιση Δ</span><span lang="EN-GB" style="font-size: 14.0pt; line-height: 115%; mso-ansi-language: EN-GB;">x</span><span style="font-size: 14.0pt; line-height: 115%;"> και
<b>(μ.1)</b></span><span style="font-family: "Times New Roman","serif"; font-size: 14.0pt; line-height: 115%; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi; mso-fareast-language: EL; mso-no-proof: yes;"> </span><span style="font-size: 14.0pt; line-height: 115%;"><o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 1.0cm; tab-stops: 1.0cm 42.55pt; text-align: justify; text-indent: -14.15pt;">
<span style="font-family: "Arial","sans-serif"; font-size: 14.0pt; line-height: 115%;">……………………………………</span><span style="font-size: 14.0pt; line-height: 115%;"><o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 1.0cm; tab-stops: 1.0cm 42.55pt; text-align: justify; text-indent: -14.15pt;">
<b><span style="font-size: 14.0pt; line-height: 115%;"> </span></b><b><span lang="EN-GB" style="font-size: 14.0pt; line-height: 115%; mso-ansi-language: EN-GB;">ii</span></b><b><span style="font-size: 14.0pt; line-height: 115%;">) </span></b><span style="font-size: 14.0pt; line-height: 115%;">το διάστημα </span><span lang="EN-GB" style="font-size: 14.0pt; line-height: 115%; mso-ansi-language: EN-GB;">S</span><span style="font-size: 14.0pt; line-height: 115%;"> που διανύει. <b> (μ.1)</b><o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 14.2pt; text-align: justify; text-indent: -14.2pt;">
<span style="font-family: "Arial","sans-serif"; font-size: 14.0pt; line-height: 115%;">……………………………………</span><span style="font-size: 14.0pt; line-height: 115%;"><o:p></o:p></span></div>
<div class="MsoNormal" style="tab-stops: 1.0cm; text-align: justify;">
<span style="font-size: 14.0pt; line-height: 115%;">Β) Να υπολογίσετε την ταχύτητα του
σώματος στα πιο κάτω χρονικά διαστήματα :<b>
(μ.2)</b><o:p></o:p></span></div>
<div class="MsoNormal" style="tab-stops: 0cm; text-align: justify;">
<span style="font-size: 14.0pt; line-height: 115%;"> (0-</span><span lang="EN-US" style="font-size: 14.0pt; line-height: 115%; mso-ansi-language: EN-US;">4</span><span style="font-size: 14.0pt; line-height: 115%;">)</span><span lang="EN-GB" style="font-size: 14.0pt; line-height: 115%; mso-ansi-language: EN-GB;">s</span><span style="font-size: 14.0pt; line-height: 115%;"> :
</span><span style="font-family: "Arial","sans-serif"; font-size: 14.0pt; line-height: 115%;">…………………………………………………………………………………<o:p></o:p></span></div>
<br />
<div class="MsoNormal" style="tab-stops: 0cm; text-align: justify;">
<span style="font-size: 14.0pt; line-height: 115%;"> (</span><span lang="EN-US" style="font-size: 14.0pt; line-height: 115%; mso-ansi-language: EN-US;">4-6</span><span style="font-size: 14.0pt; line-height: 115%;">)</span><span lang="EN-GB" style="font-size: 14.0pt; line-height: 115%; mso-ansi-language: EN-GB;">s</span><span style="font-size: 14.0pt; line-height: 115%;"> : </span><span style="font-family: "Arial","sans-serif"; font-size: 14.0pt; line-height: 115%;">…………………………………………………………………………………</span></div>
</div>
ΙΩΑΝΝΑ ΚΙΑΜΙΛΗhttp://www.blogger.com/profile/18290308512440353255noreply@blogger.com0tag:blogger.com,1999:blog-2486622782085177264.post-90841196768868959652013-12-22T12:01:00.000-08:002013-12-22T12:01:05.317-08:00ΧΗΜΕΙΑ Β ΓΥΜΝΑΣΙΟΥ ΣΟΣ ΘΕΜΑΤΑ ΕΞΕΤΑΣΕΩΝ ΜΑΙΟΥ ΙΟΥΝΙΟΥ<div dir="ltr" style="text-align: left;" trbidi="on">
<div style="background-color: #fafafa; color: #333333; font-family: Arial, sans-serif; line-height: 16.796875px; margin-bottom: 1em; margin-top: 1em; padding: 0px;">
<span style="font-size: large;">ΧΗΜΕΙΑ Β ΓΥΜΝΑΣΙΟΥ </span></div>
<div style="background-color: #fafafa; color: #333333; font-family: Arial, sans-serif; line-height: 16.796875px; margin-bottom: 1em; margin-top: 1em; padding: 0px;">
<span style="font-size: large;">ΣΟΣ ΘΕΜΑΤΑ ΕΞΕΤΑΣΕΩΝ ΜΑΙΟΥ ΙΟΥΝΙΟΥ</span></div>
<div style="background-color: #fafafa; color: #333333; font-family: Arial, sans-serif; line-height: 16.796875px; margin-bottom: 1em; margin-top: 1em; padding: 0px;">
<span style="font-size: large;">ΧΗΜΕΙΑ Β ΓΥΜΝΑΣΙΟΥ </span></div>
<div style="background-color: #fafafa; color: #333333; font-family: Arial, sans-serif; line-height: 16.796875px; margin-bottom: 1em; margin-top: 1em; padding: 0px;">
<span style="font-size: large;"><br /></span></div>
<div style="background-color: #fafafa; color: #333333; font-family: Arial, sans-serif; line-height: 16.796875px; margin-bottom: 1em; margin-top: 1em; padding: 0px;">
<span style="font-size: large;">ΣΟΣ ΘΕΜΑΤΑ ΕΞΕΤΑΣΕΩΝ ΜΑΙΟΥ ΙΟΥΝΙΟΥ</span></div>
<div style="background-color: #fafafa; color: #333333; font-family: Arial, sans-serif; line-height: 16.796875px; margin-bottom: 1em; margin-top: 1em; padding: 0px;">
<span style="font-size: large;"><br /></span></div>
<div style="background-color: #fafafa; color: #333333; font-family: Arial, sans-serif; font-size: 12px; line-height: 16.796875px; margin-bottom: 1em; margin-top: 1em; padding: 0px;">
<br /></div>
<div style="background-color: #fafafa; color: #333333; font-family: Arial, sans-serif; font-size: 12px; line-height: 16.796875px; margin-bottom: 1em; margin-top: 1em; padding: 0px;">
Συμπληρώστε τα κενά στις παρακάτω προτάσεις.<br style="margin: 0px; padding: 0px;" />1. Κάθε ………………. που για να πραγματοποιηθεί χρειάζεται να απορροφηθεί …………………. λέγεται ενδόθερμη<br style="margin: 0px; padding: 0px;" />2. Πατέρας της ατομικής θεωρίας θεωρείται ο ………………….<br style="margin: 0px; padding: 0px;" />3. Τα ………………… συνδέονται μεταξύ τους και σχηματίζουν πιό σύνθετα σωματίδια τα …………………..<br style="margin: 0px; padding: 0px;" />4. Στις …………………………. αντιδράσεις η θερμοκρασία αυξάνεται<br style="margin: 0px; padding: 0px;" />5. Σε κάθε χημική αντίδραση η μάζα των αντιδρώντων είναι ………… με τη μάζα των ……………………<br style="margin: 0px; padding: 0px;" />6. Μεταβολές στις οποίες απο κάποιες ……………….. ουσίες προκύπτουν ………… ουσίες λέγονται χημικές αντιδράσεις<br style="margin: 0px; padding: 0px;" /><strong style="margin: 0px; padding: 0px;">3) α) Τι ονομάζεται ατομικός αριθμός στοιχείου,πως συμβολίζεται και τι αποτελεί για το στοιχείο;</strong></div>
<div style="background-color: #fafafa; color: #333333; font-family: Arial, sans-serif; font-size: 12px; line-height: 16.796875px; margin-bottom: 1em; margin-top: 1em; padding: 0px;">
9) α) Τι σημαίνουν οι περιεκτικότητες: 18% w / w , 8% w / v, 5% vol. σε κάποια διαλύματα;β) Σε 400 g διαλύματος αλατόνερου περιέχονται 10 g αλάτι.1.Ποιά είναι η περιέκτικότητα % w/w του διαλύματος σε αλάτι;2.Πόσα γραμμάρια νερού περιέχονται σε 1 Kg αλατόνερου;</div>
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Σε τι διαφέρουν τα μόρια των χημικών στοιχείων από τα μόρια<br style="margin: 0px; padding: 0px;" />των χημικών ενώσεων ; Γράψτε από ένα παράδειγμα .</div>
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3.<strong style="margin: 0px; padding: 0px;"> Το άτομο ενός στοιχείου με ατομικό αριθμό 19 έχει στον πυρήνα<br style="margin: 0px; padding: 0px;" />του 20 νετρόνια . Να βρεθεί ο μαζικός αριθμός του στοιχείου<br style="margin: 0px; padding: 0px;" />καθώς και ο αριθμός των ηλεκτρονίων .</strong></div>
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4. α) Τι εννοούμε όταν λέμε ότι έχουμε διάλυμα αλατόνερου<br style="margin: 0px; padding: 0px;" />περιεκτικότητας 20% κ.ο ( w/v ) ;<br style="margin: 0px; padding: 0px;" />β) Πως θα παρασκευάσεις διάλυμα ζάχαρης 5% κ.β ( w/w ) ;</div>
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5. Διαθέτουμε 200ml διαλύματος ζάχαρης στο νερό περιεκτικότητας<br style="margin: 0px; padding: 0px;" />6% κ.ο ( w/v ) .Στο διάλυμα αυτό προσθέτω 400 ml νερό . Πόση είναι<br style="margin: 0px; padding: 0px;" />η νέα % κ.ο ( w/v ) περιεκτικότητα του διαλύματος ;</div>
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ΙΩΑΝΝΑ ΚΙΑΜΙΛΗhttp://www.blogger.com/profile/18290308512440353255noreply@blogger.com0