1. --:22/03/2013:1
––:، ،.:
**********************************************************************************
1−‫ذ‬:
1-‫ا‬ ‫آ‬ ‫ا‬)‫آ‬: (
-‫ا‬ ‫آ‬ ‫أ‬ ‫ل‬v‫ن‬ ‫آ‬ ‫إذا‬‫ا‬ ‫ع‬v.
-‫دراﺱ‬ ‫إ‬ ‫ا‬ ‫ا‬ ‫ه‬ ‫دراﺱ‬ ‫د‬ ‫و‬ ‫آ‬ ‫ر‬ ، ‫ا‬ ‫آ‬ ‫آ‬ ‫راﺱ‬
‫ا‬ ‫ه‬ ‫آ‬.
‫ل‬:
-
:
02
‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻭ‬ ‫ﺍﻟﻤﻴﻜﺎﻧﻴﻚ‬‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻭ‬ ‫ﺍﻟﻤﻴﻜﺎﻧﻴﻚ‬‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻭ‬ ‫ﺍﻟﻤﻴﻜﺎﻧﻴﻚ‬‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻭ‬ ‫ﺍﻟﻤﻴﻜﺎﻧﻴﻚ‬
‫ا‬:‫ی‬ ‫م‬
‫ری‬ ، ‫ت‬ ‫ری‬
‫ا‬-1:‫ا‬ ‫ﺝ‬‫آ‬
1 2 3 4 5
B
A
‫ا‬-2:
1
2
3
4
5B
A
‫ا‬ ‫ﺝ‬‫آ‬
‫ا‬-3:
1
2
3 4
5
B
A
‫ا‬ ‫ﺝ‬‫آ‬
www.sites.google.com/site/faresfergani
‫ر‬:22/03/2013

2. --:22/03/2013:2
––:، ،.:
-‫س‬ ‫ا‬ ‫ی‬)‫ا‬-1،2(‫آ‬ ‫رات‬ ‫و‬ ، ‫ازی‬‫ی‬ ‫س‬ ‫ا‬ ‫ط‬
‫زا‬:‫س‬ ‫أن‬ ‫ل‬‫ا‬ ‫آ‬ ‫ﺡ‬.
-)‫ا‬-3(‫ا‬ ‫ر‬B‫ا‬ ‫ر‬ ‫ی‬A‫ا‬ ‫ه‬ ‫س‬ ‫ا‬ ‫آ‬ ، ‫ی‬ ‫و‬
‫آ‬ ‫ا‬ ‫ل‬ ‫ﺥ‬ ‫ازي‬ ‫ی‬ ‫رج‬ ‫ا‬ ‫ا‬ ‫ن‬ ‫ا‬ ‫آ‬.
‫ب‬-‫آ‬ ‫ا‬ ‫ا‬:
‫ط‬:
‫ا‬ ‫ل‬ ‫ﺥ‬ ‫ة‬ ‫آ‬ ‫ی‬ ‫ز‬ ‫وه‬ ‫ا‬ ‫ة‬ ‫ا‬ ‫ز‬ ‫زا‬.‫ا‬
‫ز‬ ‫ا‬ ‫ی‬ ‫ا‬ ‫ة‬ ‫ا‬ ‫م‬ ‫أ‬ ‫ك‬ ‫ا‬ ‫ى‬ ‫ن‬ ‫أ‬ ‫ي‬ ‫ك‬ ‫ی‬ ‫آ‬)‫ا‬.(
‫ك‬ ‫ا‬ ‫ك‬ ‫و‬ ‫ز‬ ‫ا‬M‫ا‬ ‫ا‬ ‫ا‬ ‫ﺱ‬ ‫ون‬O.
‫أی‬:
1-‫آ‬ ‫ا‬ ‫ی‬ ‫ا‬ ‫ه‬M‫ا‬ ‫ی‬ ‫ا‬ ‫د‬ ‫و‬ ‫آ‬ ‫و‬ ‫ﺱ‬ ‫؟‬
‫ض‬ ‫ا‬.
2-‫ﺱ‬ ‫ا‬ ‫دی‬ ‫ا‬ ‫ه‬M‫ا‬A‫؟‬ ‫ا‬ ‫دی‬ ‫ا‬ ‫ه‬ ‫آ‬ ‫؟‬.
3-‫ا‬ ‫آ‬ ‫ف‬ ‫أن‬ ‫ی‬v‫ك‬MA‫ا‬W‫ة‬ ‫ا‬ ‫ي‬ ‫ا‬
‫ا‬:O‫و‬A.‫ا‬ ‫و‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫رات‬ ‫ا‬W‫و‬M‫و‬va‫ی‬ ‫ی‬
‫ی‬.‫ف‬ ‫أ‬ ‫؟‬ ‫ی‬ ‫و‬ ‫ا‬ ‫ه‬‫ا‬ ‫ا‬.
4-‫ا‬ ‫رات‬ ‫ا‬ ‫ی‬ ‫ی‬ ‫آ‬ ‫اآ‬.
:
‫آ‬ ‫ك‬ ‫ف‬ ‫ا‬ ‫ا‬M‫ك‬ ‫ا‬ ‫أن‬ ‫إ‬ ‫را‬ ،M‫ة‬ ‫ف‬F‫ة‬ ‫وا‬
‫ی‬ ‫ا‬ ‫ا‬ ‫ه‬ ‫و‬ ،:2
Mv
2
1
=W.
2−‫ل‬‫و‬:
‫أ‬-‫ا‬ ‫آ‬ ‫ﺡ‬ ‫ﺙ‬ ‫ة‬:
‫ط‬:
‫ی‬)‫ا‬-5(‫ص‬ ‫أ‬ ‫أر‬ ‫ه‬ ‫ا‬
‫ﺽ‬ ‫ا‬ ‫ن‬ ‫ا‬ ‫ا‬ ‫رة‬ ‫ﺱ‬A‫ﺽ‬ ‫ا‬ ‫إ‬B
‫ة‬ ‫ا‬ ‫وی‬ ‫ة‬ ‫وا‬ ‫آ‬ ‫ی‬:F
1-‫ا‬ ‫ة‬ ‫ا‬ ‫ه‬‫ا‬ ‫ا‬ ‫ر‬ ‫ا‬ ‫ى‬
‫ا‬ ‫إ‬B‫؟‬ ‫ه‬ ‫ت‬ ‫إ‬ ‫إذا‬ ‫ﺱ‬
2-‫ا‬ ‫آ‬ ‫ر‬ ‫ا‬ ‫ى‬ ‫ا‬ ‫ر‬
A‫إ‬B.
‫ا‬-4:
‫ا‬-5:

3. --:22/03/2013:3
––:، ،.:
3-‫ا‬ ‫ا‬ ‫ح‬ ‫و‬ ‫ة‬ ‫آ‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫ت‬ ‫ا‬ ‫ا‬ ‫ه‬:
F.d،F.d.cosαααα،F.d.sinαααα،F.d.αααα
‫ط‬ ‫ا‬:
1-‫ا‬ ‫إ‬ ‫ا‬ ‫ا‬ ‫ر‬ ‫ا‬ ‫ى‬ ‫ا‬ ‫ة‬ ‫ا‬B‫ة‬ ‫ا‬ ‫ه‬ ‫ه‬ ‫ت‬ ‫إ‬ ‫إذا‬ ‫ﺱ‬3F
‫ا‬ ‫أآ‬.
2-‫ا‬ ‫آ‬ ‫ر‬ ‫ا‬ ‫ى‬ ‫ا‬A‫إ‬B:
‫ا‬ ‫م‬ ‫ﺱ‬ ‫ی‬:
0>)FW(-=)FW( 13 , 0<)FW( 2 , 0)FW( 4 =
‫ن‬ ‫ی‬ ‫و‬:
)FW(>)FW(>)FW(>)FW( 1243
3-‫ه‬ ‫ا‬ ‫ا‬ ‫ح‬ ‫و‬ ‫ة‬ ‫آ‬ ‫ا‬ ‫ا‬ ‫ا‬:αcos.dF.=)F(W.
‫ب‬-‫ة‬ ‫ا‬ ‫م‬:
-‫ﺥ‬ ‫ﺽ‬ ‫إ‬ ‫ﺽ‬ ‫ا‬ ‫إذا‬ ‫أ‬ ‫ة‬ ‫ل‬.
-‫ة‬F‫ﺽ‬ ‫ل‬ ‫ا‬ ‫ء‬ ‫أ‬A‫ﺽ‬ ‫إ‬B‫ـ‬ ‫ی‬ ‫ي‬ ‫ا‬)F(WAB‫ار‬ ‫ه‬ ‫ل‬ ‫ا‬ ‫وو‬
‫إذا‬ ‫ن‬ ‫ی‬ ‫ي‬‫ة‬ ‫ا‬ ‫آ‬F‫ل‬ ‫ی‬ ‫و‬ ‫آ‬ ‫ا‬‫ك‬‫ة‬ ‫ا‬ ‫آ‬ ‫إذا‬ ‫ﺱ‬ ‫ن‬ ‫ی‬F
‫ا‬ ‫ه‬ ‫ل‬ ‫ی‬ ‫و‬ ‫آ‬ ‫ا‬ ‫آ‬‫وم‬.
‫ﺝـ‬-‫ا‬ ‫آ‬ ‫ﺡ‬ ‫ﺡ‬ ‫ﺙ‬ ‫ة‬:
-‫ة‬F‫ر‬ ‫و‬AB‫ة‬ ‫ا‬ ‫ع‬ ‫ا‬ ‫اء‬ ‫ا‬ ‫ه‬F‫ع‬ ‫و‬
‫ل‬ ‫ا‬AB‫أي‬:
WAB(F) = F. AB
‫ه‬ ‫و‬‫ا‬ ‫ا‬ ‫ا‬ ‫ا‬:
WAB(F) = F AB cosα
α‫ع‬ ‫ا‬ ‫ی‬ ‫ا‬ ‫اوی‬ ‫ا‬ ‫ه‬AB‫ة‬ ‫ا‬ ‫ع‬F)‫ا‬-6. (
-‫ا‬ ‫ر‬AB)m(‫ة‬ ‫ا‬ ‫ة‬ ‫و‬F)N(‫ا‬ ‫و‬W‫ل‬)J. (
‫ا‬-6:
A B
α
F

4. --:22/03/2013:4
––:، ،.:
‫ت‬ ‫ﺡ‬:
*‫ة‬ ‫ا‬F‫آ‬ ‫ا‬ ‫أ‬)‫ا‬-7: (
-‫ن‬ ‫ی‬ ‫ا‬ ‫ه‬:α = 0 → cos α = 1.‫ی‬ ‫آ‬ ‫ا‬ ‫رة‬ ‫و‬:
WAB(F) = F AB
*‫ة‬ ‫ا‬F‫آ‬ ‫ا‬ ‫ر‬ ‫دی‬)‫ا‬-8: (
-‫ن‬ ‫ی‬ ‫ا‬ ‫ه‬:→ cos α = 0
2
π
=α.‫ی‬ ‫آ‬ ‫ا‬ ‫رة‬ ‫و‬:
WAB(F) = 0
-‫أ‬ ‫ا‬ ‫ه‬ ‫ة‬ ‫ا‬ ‫ل‬.
*‫ة‬ ‫ا‬F‫آ‬ ‫ا‬ ‫آ‬ ‫و‬ ‫أ‬)‫ا‬-9: (
-‫ن‬ ‫ی‬ ‫ا‬ ‫ه‬:→ cos α = -1π=α.‫ی‬ ‫آ‬ ‫ا‬ ‫رة‬ ‫و‬:
WAB(F) = - F AB
‫ا‬-7:
A Bα = 0
F
‫ا‬-8:
A B
α =
2
π
F
‫ا‬-9:
A Bα = ππππ
F

5. --:22/03/2013:5
––:، ،.:
‫ﺡ‬-1:
-‫ا‬ ‫ك‬ ‫ا‬ ‫ة‬ ‫ا‬ ‫آ‬ ‫إذا‬‫أي‬ ، ‫آ‬ ‫ا‬
2
π
<α<0‫ة‬ ‫ا‬ ‫ه‬ ‫رة‬ ‫إ‬ ‫ن‬
W > 0‫أ‬ ‫ا‬ ‫ه‬ ‫ا‬ ‫و‬ ،‫ك‬.
-‫أي‬ ، ‫آ‬ ‫آ‬ ‫ا‬ ‫ا‬ ‫ك‬ ‫ا‬ ‫ة‬ ‫ا‬ ‫آ‬ ‫إذا‬π<α<
2
π
‫ة‬ ‫ا‬ ‫ه‬ ‫رة‬ ‫إ‬ ‫ن‬
‫ﺱ‬W < 0‫أ‬ ‫ا‬ ‫ه‬ ‫ا‬ ‫و‬ ،‫وم‬.
‫ﺡ‬-2:
‫ة‬F‫ﺽ‬ ‫ل‬ ‫ا‬ ‫ء‬ ‫أ‬A‫ﺽ‬ ‫ا‬ ‫إ‬An‫ى‬ ‫أﺥ‬ ‫اﺽ‬ ‫ورا‬A1،A2،.....‫ع‬ ‫وي‬
‫ل‬ ‫ا‬‫أي‬ ‫ت‬ ‫ا‬:
)F(W+......+)F(W+)F(W+)F(W=)F(W nA1-nA4A3A3A2A2A1AnA1A
‫د‬-‫ا‬:
‫ط‬:
‫ﺽ‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫ﺱ‬ ‫ون‬ ‫ی‬ ‫آ‬ ‫ك‬A‫ﺽ‬ ‫ا‬ ‫إ‬S)‫ا‬-11-‫أ‬. (
1-‫ط‬ ‫ا‬ ‫ل‬ ‫ﺥ‬ ‫ی‬ ‫ا‬ ‫رة‬.
2-‫ﺽ‬ ‫ا‬ ‫ا‬ ‫أ‬ ‫ی‬ ‫ا‬ ‫إذا‬ ‫رة‬ ‫ا‬ ‫ه‬ ‫ن‬ ‫آ‬A‫ﺽ‬ ‫ا‬S’)‫ا‬-‫ب‬. (
‫ا‬-10:
A
0 < α <
2
π
FF
AB B
2
π
< α < ππππ
‫ك‬‫وم‬
WAB > 0WAB < 0
‫ا‬-11:

6. --:22/03/2013:6
––:، ،.:
4-‫ه‬ ‫رأی‬‫؟‬ ‫ر‬ ‫ی‬ ‫ا‬ ‫ة‬
‫ط‬ ‫ا‬:
1-‫ط‬ ‫ا‬ ‫ل‬ ‫ﺥ‬ ‫ی‬ ‫ا‬ ‫رة‬:
αP.AS.cos=)P(W S-A
‫ل‬ ‫ا‬ ‫ع‬ ‫ازی‬ ‫و‬ ‫ة‬ ‫ا‬ ‫ا‬ ‫ة‬ ‫أن‬ ‫ن‬ ‫آ‬ ‫و‬)α = 0 → cosα = 1(‫ن‬ ‫ی‬ ‫آ‬ ‫ا‬ ‫و‬:
P.h=)P(W S-A
2-‫ﺽ‬ ‫ا‬ ‫ا‬ ‫أ‬ ‫ی‬ ‫ا‬ ‫ف‬ ‫ا‬ ‫رة‬ ‫د‬ ‫ی‬A‫ﺽ‬ ‫ا‬S’‫أو‬ ‫م‬
‫ر‬ ‫ا‬)AS'(‫ی‬ ‫ا‬ ‫ت‬ ‫ا‬ ‫إ‬)AC،CE،EG،( ....‫ه‬ ‫ا‬ ‫و‬.‫ن‬ ‫ی‬ ‫و‬:
∑ ...................+P.(EG)+αP.(CE).cos+αcos).AC.(P=)P(Wδ=)P(W 21AS'
)‫ا‬-11-‫ب‬(‫ا‬ ‫ل‬ ‫ﺥ‬ ‫و‬‫ل‬AC‫ن‬ ‫ی‬:
h.(AC)cos
AC
h
cos 11
1
1 =α→=α
‫ن‬ ‫ی‬ ‫ى‬ ‫ﺥ‬ ‫ا‬ ‫ت‬ ‫ا‬ ‫ل‬ ‫ﺥ‬ ‫و‬:
h.(CE)cos→
CE
h
cos 22
2
2 =α=α
h.(EG)cos→
EG
h
cos 33
3
3 =α=α
h1،h2،h3‫ن‬ ‫ی‬ ‫آ‬ ، ‫ي‬ ‫ل‬ ‫ا‬ ‫آ‬ ‫ا‬ ‫ﺽ‬ ‫ا‬ ‫و‬ ‫ا‬ ‫ا‬ ‫ﺽ‬ ‫ا‬ ‫ع‬ ‫ر‬ ‫ا‬ ‫ق‬ ‫ا‬:
h = h1 + h2 + h3 + .......
‫أن‬ ‫آ‬h‫ﺽ‬ ‫ا‬ ‫ع‬ ‫ار‬ ‫ق‬ ‫ا‬ ‫ی‬)A(‫و‬)S') (‫ا‬-11-‫ب‬. (
‫ی‬ ‫ی‬:
.........+Ph+Ph+P.h=)P(W 321AS'
).........+h+h+(hP=)P(W 321AS'
hP=)P(WAS'
hm.g.=)P(WAS'
P.h=)P(WAS'
3-‫ر‬ ‫ا‬:
‫ا‬ ‫ن‬ ‫ه‬ ‫ا‬ ‫ل‬ ‫ﺥ‬‫ت‬ ‫ا‬ ‫آ‬ ‫ﺱ‬ ‫ر‬ ‫ی‬ ‫ا‬ ‫أن‬ ‫أن‬ ‫ی‬:
h=..................+(EG)+α(CE).cos+αcos).AC( 21
h‫ا‬ ‫ﺽ‬ ‫ا‬ ‫و‬ ‫ا‬ ‫ا‬ ‫ﺽ‬ ‫ا‬ ‫ع‬ ‫ار‬ ‫ق‬ ‫ا‬ ‫ه‬.
:
‫آ‬ ‫ی‬A‫ع‬ ‫ار‬ ‫دة‬ ‫ا‬zA
‫إ‬B‫ا‬‫ع‬ ‫ار‬ ‫دة‬zB‫ا‬ ‫ا‬ ‫ه‬ ‫ن‬
‫ع‬ ‫ار‬ ‫ق‬ ‫ا‬ ‫و‬ ‫ا‬ ‫ة‬ ‫ی‬ ‫إ‬ ‫و‬ ، ‫آ‬ ‫ر‬ ‫ی‬
)zA – zB(‫و‬:
)z-(zm.g=)P(W BAB-A
‫ا‬-12:

7. --:22/03/2013:7
––:، ،.:
‫أی‬ ‫و‬:
m.g.h+=)P(W B-A (‫زل‬ ‫ا‬ ، ‫ك‬ ‫ا‬ )
.g.hm-=)P(W B-A ( ‫ا‬ ، ‫وم‬ ‫ا‬ )
3−‫א‬ ‫ط‬ ‫א‬‫א‬:
‫ط‬-1:
-‫آ‬M = 276 g‫ا‬ ‫ن‬ℓ0)‫ا‬-‫أ‬(‫أ‬ ‫ي‬ ،
‫ا‬ ‫أ‬ ‫و‬ ، ‫وم‬ ‫ك‬ ‫ا‬)‫ا‬-‫ب‬. (
-‫ا‬ ‫ر‬‫آ‬ ‫ل‬ ‫ﺥ‬ ‫ر‬ ‫أﺥ‬.‫ی‬)‫ا‬-‫د‬(‫ا‬ ‫آ‬ ‫ذج‬
‫ه‬ ‫ا‬ ‫ل‬ ‫ا‬)τ = 0.01 s. (
-‫ا‬ ‫ا‬ ‫ی‬A‫و‬B‫ا‬ ‫ن‬ ‫ی‬ ‫ا‬ ‫ﺽ‬ ‫و‬ ‫ا‬ ‫ق‬ ‫ا‬ ‫ﺽ‬ ‫ا‬ ‫ا‬
‫ا‬ ‫ا‬ ‫وﺽ‬)‫ا‬ ‫وي‬ ‫و‬ ‫ل‬ℓ0. (
-‫ا‬ ‫ی‬ ‫ه‬ ، ‫ت‬ ، ‫ا‬ ، ‫ة‬ ‫وا‬ ‫ا‬ ‫ا‬ ‫ر‬
‫ة‬ ‫آ‬ ‫ﺱ‬ ‫ا‬) .‫ا‬-14(‫ا‬ ‫ت‬ ‫ا‬ ‫ی‬ ‫ا‬ ‫ا‬ ‫ا‬:
‫ا‬-13:
‫ا‬-14:
‫ا‬

8. --:22/03/2013:8
––:، ،.:
-‫ت‬ ‫ا‬ ‫ة‬ ‫ا‬ ‫ت‬ ‫ا‬ ‫أ‬∆x‫ا‬ ‫ار‬ ‫ت‬ ‫أر‬ ‫ر‬ ‫ﺥ‬ ‫ﺱ‬ ‫ا‬B
)‫ا‬-13-‫د‬(‫ﺽ‬ ‫ا‬ ‫ا‬ ‫ﺱ‬ ، ‫ر‬ ‫ا‬ ‫ت‬ ‫ا‬B‫دی‬ ‫ا‬ ‫وآ‬ ‫آ‬
M2
v،Mv،Mv2
.‫ی‬ ‫ا‬ ‫ول‬ ‫ا‬‫ا‬ ‫ا‬:
Mv2
MvM2
v‫ا‬ ‫ﺱ‬v (m/s)∆x (m)‫ا‬ ‫آ‬
0.750.4550.1251.650=
τ4
x∆
=
t∆
x∆
=v0.0660.276‫ون‬
0.740.5300.1991.4000.0560.376‫ة‬ ‫وا‬
0.740.5950.2831.2500.0500.476
0.740.7600.5900.9750.0390.776‫ت‬
1-‫ﺽ‬ ‫ا‬A‫ا‬ ‫ه‬)+(‫؟‬ ‫ا‬ ‫ه‬ ‫ه‬ ‫؟‬
2-‫ا‬ ‫ه‬)+(‫ﺽ‬ ‫ا‬A‫ر‬ ‫ا‬ ‫ت‬ ‫ا‬.
3-‫ﺽ‬ ‫ا‬B‫ا‬ ‫ه‬)+(‫ه‬ ‫؟‬‫؟‬ ‫ا‬ ‫ه‬
4-‫ا‬ ‫ه‬)+(‫ﺽ‬ ‫ا‬B‫ح‬ ‫ا‬ ‫؟‬ ‫ر‬ ‫ا‬ ‫ت‬ ‫ا‬.
5-‫ﺽ‬ ‫ا‬ ‫ل‬ ‫ا‬ ‫ء‬ ‫أ‬ ‫ا‬ ‫و‬ ‫ا‬ ‫ث‬ ‫ي‬ ‫ا‬ ‫ي‬ ‫ا‬ ‫ی‬ ‫ا‬ ‫ه‬A‫ﺽ‬ ‫ا‬ ‫إ‬B‫؟‬
6-‫؟‬ ‫ر‬ ‫ا‬ ‫ت‬ ‫ا‬ ‫ه‬ ‫ي‬ ‫ا‬ ‫ی‬ ‫ا‬ ‫ا‬ ‫ه‬ ‫ه‬.
7-‫رات‬ ‫ا‬ ‫ه‬)M2
v،Mv،Mv2
(‫ي‬ ‫ا‬ ‫ی‬ ‫ا‬ ‫ﺱ‬ ‫ا‬ ‫رة‬ ‫ا‬ ‫ه‬.‫ث‬ ‫ي‬ ‫ا‬
‫؟‬ ‫ت‬ ‫ا‬ ‫ا‬
8-‫ا‬ ‫ال‬ ‫ا‬)7(‫ن‬ ‫ا‬ ‫ﺱ‬)
M
1
(f=v2
.
9-‫ا‬ ‫آ‬ ‫آ‬ ‫آ‬ ‫ا‬ ‫و‬ ‫ر‬ ‫آ‬ ‫ا‬ ‫ي‬ ‫ا‬ ‫ی‬ ‫اﺱ‬M
‫ﺱ‬ ‫و‬v.
‫ط‬ ‫ا‬:
1-‫ﺽ‬ ‫ا‬A‫ا‬)+(‫ا‬ ‫أن‬ ‫ا‬ ‫ا‬ ‫اﺱ‬ ‫و‬ ‫آ‬
‫آ‬ ‫ا‬‫ﺱ‬ ‫ام‬ ‫ا‬ ‫ﺽ‬ ‫ا‬ ‫ا‬ ‫ه‬ ‫و‬.
2-‫ا‬)+(‫ت‬ ‫ا‬ ‫ه‬ ‫ا‬ ‫اﺱ‬ ‫ن‬ ‫ر‬ ‫ا‬ ‫ت‬ ‫ا‬
‫ا‬ ‫اﺱ‬ ‫ار‬ ‫و‬ ، ‫ا‬ ‫اﺱ‬ ‫ار‬ ‫و‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫ار‬ ‫أن‬ ‫آ‬
‫ری‬ ‫ا‬ ‫ت‬ ‫ا‬.
3-‫ﺽ‬ ‫ا‬B‫ا‬)+(‫ﺽ‬ ‫ا‬ ‫ﺱ‬ ‫ن‬ ‫آ‬B‫ا‬ ‫أن‬ ‫ا‬
‫ا‬ ‫ا‬ ‫وﺽ‬ ‫ا‬ ‫د‬ ‫و‬ ‫و‬ ‫و‬ ‫ا‬ ‫ا‬)‫و‬ ‫اﺱ‬. (
4-‫ا‬ ‫ا‬ ‫ع‬ ‫ﺽ‬ ‫م‬ ‫ر‬‫ك‬)‫ك‬ ‫ا‬(‫و‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫ن‬ ‫ا‬ ‫ار‬ ‫ن‬ ‫ی‬ ،
‫ﺽ‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫أن‬ ‫ن‬ ‫آ‬ ‫و‬ ، ‫آ‬ ‫ا‬ ‫ا‬ ‫دة‬ ‫ی‬ ‫ا‬ ‫ار‬ ‫وي‬A‫آ‬ ‫ل‬)
‫ام‬ ‫ا‬(‫ﺽ‬ ‫ا‬ ‫آ‬ ‫إ‬B‫ﺽ‬ ‫ا‬ ‫ا‬ ‫آ‬ ‫ا‬ ‫ا‬ ‫ن‬)B(‫وی‬‫ا‬
‫ﺽ‬ ‫ا‬ ‫ا‬A‫ﺽ‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫أن‬ ‫ن‬ ‫آ‬ ‫و‬ ،A‫ن‬ ‫ر‬ ‫ا‬ ‫ت‬ ‫ا‬ ‫ه‬
‫ﺽ‬ ‫ا‬ ‫ا‬ ‫آ‬ ‫ا‬ ‫ا‬B‫ر‬ ‫ا‬ ‫ت‬ ‫ا‬ ‫أی‬ ‫ه‬.
5-‫ل‬ ‫ا‬ ‫ء‬ ‫أ‬ ‫ا‬ ‫و‬ ‫ا‬ ‫ث‬ ‫ي‬ ‫ا‬ ‫ي‬ ‫ا‬ ‫ی‬ ‫ا‬‫ﺽ‬ ‫ا‬A‫ﺽ‬ ‫ا‬ ‫إ‬B‫ی‬ ‫ه‬
Wm.

9. --:22/03/2013:9
––:، ،.:
6-‫ا‬ ‫ف‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫أن‬ ‫ﺱ‬ ‫ذآ‬)+(‫ﺽ‬ ‫ا‬A‫إ‬ ‫آ‬ ‫ل‬
‫ﺽ‬ ‫ا‬ ‫ا‬ ‫ل‬ ‫ا‬ ‫ء‬ ‫أ‬ ‫آ‬A‫ﺽ‬ ‫ا‬ ‫إ‬B‫ﺽ‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫أن‬ ‫و‬ ،A
‫ر‬ ‫ا‬ ‫ت‬ ‫ا‬ ‫ا‬ ‫ی‬ ‫ا‬ ‫ار‬ ‫ن‬ ‫ﺱ‬ ‫آ‬ ‫ا‬ ، ‫ر‬ ‫ا‬ ‫ت‬ ‫ا‬.
7-‫ی‬ ‫ا‬ ‫ا‬ ‫ﺱ‬ ‫ا‬ ‫رة‬ ‫ا‬ ‫ن‬ ‫ول‬ ‫ا‬ ‫و‬ ‫ا‬ ‫ا‬ ‫ل‬ ‫ﺥ‬ ‫و‬ ، ‫ا‬ ‫ی‬ ‫ا‬ ‫ﺱ‬
‫ه‬Mv2
.
8-‫ن‬ ‫ا‬ ‫ﺱ‬ ‫ا‬ ‫ا‬)
M
1
(f=v2
:
‫ن‬ ‫ا‬)
M
1
(f=v2
‫ا‬ ‫ر‬ ‫رة‬:
M
1
a=v2
Kc‫و‬ ، ‫ی‬
‫رة‬ ‫ا‬ ‫آ‬ ‫ی‬Mv2
= a‫ا‬ ‫ال‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫ه‬ ‫و‬ ،.
9-‫ا‬ ‫رة‬ ‫ا‬‫آ‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫آ‬ ‫و‬ ‫ي‬ ‫ا‬ ‫ی‬:
-‫ا‬ ‫ی‬ ‫ا‬ ‫أن‬Wm‫ار‬ ‫ا‬ ‫ول‬ ‫ا‬ ‫و‬ ، ‫ا‬ ‫و‬ ‫ا‬Mv2
‫ی‬ ‫ا‬ ‫آ‬ ‫و‬
‫رة‬ ‫وي‬ ‫ا‬ ‫ی‬ ‫ا‬ ‫ن‬ ‫ی‬ ‫ورة‬ ، ‫رة‬ ‫ا‬ ‫و‬ ‫ا‬Mv2
‫ن‬ ‫ی‬
‫أي‬ ‫ن‬ ‫ﺱ‬:Wm = KCMv2
KC‫ﺱ‬ ‫ا‬ ‫ه‬.
-‫ﺽ‬ ‫ا‬ ‫ا‬ ‫ظ‬ ‫ا‬ ‫أ‬A‫آ‬ ‫ﺽ‬ ‫و‬M‫ه‬ ‫آ‬ ‫ا‬ ‫ا‬ ‫ه‬EC.
EA + E – E = EM
ECA + Wm = ECM
Wm = EC
EC = Wm → EC = KCMv2
:
‫آ‬ ‫و‬ ‫ك‬ ‫آ‬ ‫ا‬ ‫ا‬‫ار‬ ‫ا‬ ‫دی‬ ‫ﺱ‬ ‫أ‬ ‫آ‬ ،Mv2
‫ر‬ ‫ن‬ ‫و‬ ،
‫ا‬:EC = KC Mv2
:Kc‫ﺱ‬ ‫ا‬.
‫ط‬-2:
‫ا‬ ‫ی‬Kc‫ا‬ ‫م‬:
‫ا‬-15:

10. --:22/03/2013:10
––:، ،.:
‫آ‬ ‫ی‬M = 0.60 Kg‫ة‬ ‫ط‬ ‫ا‬ ‫ی‬ ‫ﺥ‬ ‫اﺱ‬‫ا‬
)‫ا‬ ‫ا‬ ‫ة‬(‫أ‬ ‫ى‬ ‫ا‬ ،)‫ا‬16-‫أ‬. (
‫ا‬ ‫ا‬ ، ‫ا‬ ‫ی‬ ‫ا‬ ‫ل‬ ‫ﺱ‬ ‫ا‬ ‫آ‬ ‫رس‬)‫ا‬-‫ب‬(‫ل‬ ‫ا‬
‫ه‬ ‫ا‬ ‫ا‬τ = 0.04 s.
-‫اﺽ‬ ‫ا‬ ‫ا‬ ‫ﺱ‬A2،A4،A6،......‫ب‬ ‫و‬ ،‫ت‬ ‫ا‬di‫ا‬ ‫ت‬ ‫ا‬ ‫ا‬
‫ق‬ ‫ا‬A0‫ﺽ‬ ‫ا‬ ‫إ‬Ai، ‫ا‬‫ا‬ ‫أن‬ ‫رة‬ ‫آ‬ ‫ا‬ ‫ت‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫ة‬ ‫ا‬
‫ا‬ ‫إ‬0.67 N‫دا‬ ‫ا‬ ‫و‬ ‫ا‬ ‫آ‬ ‫ل‬ ‫ﺥ‬‫ا‬ ‫ول‬ ‫ا‬ ‫و‬ ‫ا‬ ‫ا‬ ‫ذ‬:
W = Fd (J)Mv2
(J)d(m)v(m/s)‫ﺽ‬ ‫ا‬
0.01200.0240.0180.22
0.02540.0540.0380.34
0.04700.0960.0700.46
0.07370.1500.1100.58
0.10250.2160.1530.610
1-‫ا‬ ‫ات‬ ‫ا‬ ‫ا‬ ‫أرﺱ‬‫ار‬Mv2
W.‫ذا‬.
2-‫ا‬ ‫أ‬.
3-‫ا‬ ‫اﺱ‬Kc‫ا‬ ‫رة‬ ‫ا‬ ‫آ‬ ‫و‬
‫آ‬ ‫ا‬.
‫ط‬ ‫ا‬:
1-‫ن‬ ‫ا‬)W(f=2
Mv:
‫ا‬:
‫ن‬ ‫ا‬Mv2
= f(W)‫أ‬ ‫ا‬ ‫ی‬ ‫رة‬
‫ا‬ ‫د‬Mv2
= a W‫ار‬ ‫ا‬ ‫أن‬ ‫ذ‬ ،
Mv2
‫ا‬ ‫دی‬ ‫ﺱ‬ ‫ی‬
2-‫ا‬ ‫ب‬:
‫ن‬ ‫ا‬:
2=
0-0.048
0-0.096
=a
‫ا‬-16:
‫ا‬-15:

11. --:22/03/2013:11
––:، ،.:
3-CK:
)‫ن‬ ‫ا‬(‫ی‬:
Mv2
= 2 W → Mv2
= 2 EC
‫ى‬ ‫أﺥ‬ ‫و‬)‫ط‬ ‫ا‬ ‫ﺱ‬-1(‫ی‬:
EC = KC Mv2
→ E
K
1
=Mv C
C
2
:
2
1
=K→2=
K
1
C
C
:
-‫آ‬ ‫ذو‬ ‫ی‬Mv‫آ‬ ‫ا‬ ‫ن‬Ec‫ا‬ ‫رة‬ ‫آ‬ ‫ل‬ ‫رة‬
:
2
mv
2
1
=Ec
‫ﺡ‬-1:
‫م‬ ‫أ‬ ‫ة‬ ‫ن‬ ‫آ‬ ‫ا‬ ‫ا‬)S1(،)S2..... (‫أي‬ ‫م‬ ‫ا‬ ‫آ‬ ‫ا‬ ‫ت‬ ‫ا‬ ‫ع‬ ‫وی‬:
EC = EC(S1) + EC(S2) + ........
‫ﺡ‬-2:
‫ه‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫آ‬ ‫إذا‬E1‫ث‬ ‫و‬W
)‫ر‬ ‫ا‬ ‫ى‬ ‫ا‬ ‫ع‬(
‫ا‬E2‫ا‬ ‫ظ‬ ‫ا‬ ‫د‬ ‫آ‬ ‫ی‬‫ی‬ ‫آ‬:
E1 + Wm = E2
‫أن‬ ‫و‬:∑ )FW(=W extm‫ا‬ ‫ا‬ ‫ظ‬ ‫ا‬ ‫د‬ ‫آ‬ ‫ی‬
‫ی‬ ‫آ‬ ‫ا‬:
2ext1 E=)FW(+E ∑
‫ﺡ‬-3:)‫آ‬‫ر‬ ‫ا‬ ‫و‬ ‫اﺥ‬ ‫ا‬ ‫ى‬ ‫ا‬ ‫م‬(
‫ا‬ ‫ن‬ ‫آ‬ ‫إذا‬ ‫داﺥ‬ ‫ة‬ ‫ا‬ ‫ن‬‫ن‬ ‫ی‬ ‫ة‬ ‫ا‬ ‫ا‬ ‫و‬ ‫ا‬
‫ا‬ ‫ی‬ ‫ه‬ ‫أ‬ ‫ن‬ ‫آ‬ ‫إذا‬ ‫ر‬ ‫ﺥ‬ ‫ة‬ ‫ن‬ ‫و‬ ، ‫ا‬ ‫ه‬ ‫إ‬)‫ا‬ ‫و‬ ‫ا‬(‫ی‬
‫ة‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫رج‬ ‫ﺥ‬ ‫ه‬ ‫آ‬ ‫أو‬ ‫ر‬ ‫ﺥ‬ ‫ﺥ‬ ‫ا‬ ‫و‬ ‫ا‬ ‫ا‬ ‫إ‬.
‫ل‬:
‫ا‬ ‫ی‬ ‫ا‬ ‫ا‬)S(‫إ‬‫ا‬ ‫ة‬ ‫و‬ ‫ا‬)P(‫ا‬
)‫ب‬(‫رض‬ ‫ا‬)S(‫ا‬ ‫ة‬ ‫ا‬ ‫و‬)T(‫ا‬ ‫ا‬
‫ا‬)S(‫ذ‬ ‫و‬ ‫ر‬ ‫ﺥ‬ ‫أو‬ ‫داﺥ‬ ‫ن‬ ‫أن‬ ‫ر‬ ‫آ‬ ‫ا‬ ‫ی‬ ،
‫آ‬ ‫رة‬ ‫ا‬ ‫ا‬‫ا‬ ‫ول‬ ‫ا‬ ‫ی‬:
‫ا‬-13:
‫ا‬-13:

12. --:22/03/2013:12
––:، ،.:
‫ی‬ ‫و‬ ‫ا‬ ‫ه‬.‫ا‬ ‫ان‬ ‫ا‬ ‫ذو‬ ‫ذ‬ ‫ﺱ‬ ‫ا‬ ‫أدﺥ‬:
www.sites.google.com/site/faresfergani
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‫ﺱ‬ ‫ی‬ ‫ﺱ‬ ‫د‬ ‫ی‬
‫وب‬ ‫ا‬-
Fares_Fergani@yahoo.Fr
Tel : 0771998109
‫و‬ ‫ری‬ ‫ا‬ ‫أو‬ ‫روس‬ ‫ا‬ ‫ﺥ‬ ‫ي‬ ‫و‬ ‫ا‬ ‫ی‬ ‫ا‬ ‫ی‬ ‫إ‬.
‫ا‬ ‫و‬