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T‫ﺍﺰﺍﺋﺮﺔ‬T‫ﻮﺭﺔ‬U‫ﺍﻤ‬
‫ﺍﻃﻴﺔ‬‫ﺮ‬‫ﺍﻟﺪﻳﻤﻘ‬
T
‫ﺍﻟﺸﻌﺒﻴﺔ‬
T‫ﻟﻮﻻﻳﺔ‬T‫ﺍﻟﺑﻴﺔ‬T‫ﻣﺪﻳﺮﺔ‬
‫ﺍ‬
‫ﻏﺮﺏ‬T‫ﺮ‬‫ﺰﺍﺋ‬
T‫ﺛﺎﻧﻮﺔ‬
T‫ﺘﻮ'ﻲ‬‫ﺯ‬T‫ﻣﺤﻤﺪ‬
-
‫ﺍﻟﺪﻭﺮﺓ‬
-
‫ﺍﺰﺍﺋﺮ‬
T‫ﺑ`ﺎﻟﻮﺭﺎ‬T‫ﺍﻣﺘﺤﺎﻥ‬
T23‫ﺍﻟﺘﺠﺮ‬
‫ﻣﺎﻱ‬T‫ﺓ‬‫ﺭ‬‫ﺩﻭ‬
2019
‫ﺍﻟﺸﻌﺒ‬
‫ﺔ‬
:
å
‫ﻴﺔ‬Â‫ﺍﻟﺘﺠﺮ‬å‫ﺍﻟﻌﻠﻮﻡ‬
‫ﺍﳌﺎﺩﺓ‬
:
‫ﺍﻟ‬
T‫ﻌﻠﻮﻡ‬
‫ﺍﻟ‬
‫ﻳﺎﺋﻴﺔ‬KL‫ﻔ‬
‫ﺍﳌﺪﺓ‬
:
3
‫ﺳﺎﻋ‬
‫ﺎﺕ‬
‫ﺍﻟﺗﺎﻟﻳﻳﻥ‬ ‫ﺍﻟﻣﻭﺿﻭﻋﻳﻥ‬ ‫ﺃﺣﺩ‬ ‫ﻳﺧﺗﺎﺭ‬ ‫ﺃﻥ‬ ‫ﺍﻟﻣﺗﺭﺷﺢ‬ ‫ﻋﻠﻰ‬
:
‫ﺍﻷﻭﻝ‬ ‫ﺍﻟﻣﻭﺿﻭﻉ‬
‫ﻋﻠﻰ‬ ‫ﺍﻷﻭﻝ‬ ‫ﺍﻟﻣﻭﺿﻭﻉ‬ ‫ﻳﺣﺗﻭﻱ‬
5
‫ﺻﻔﺣﺎﺕ‬
)
‫ﺍﻟﺻﻔﺣﺔ‬ ‫ﻣﻥ‬
1
‫ﻣﻥ‬
10
‫ﺍﻟﺻﻔﺣﺔ‬ ‫ﺇﻟﻰ‬
5
‫ﻣﻥ‬
10
(
‫ﺍﻷﻭﻝ‬ ‫ﺍﻟﺟﺯء‬
) :
13
‫ﻧﻘﻁﺔ‬
(
‫ﺍﻷﻭﻝ‬ ‫ﺍﻟﺗﻣﺭﻳﻥ‬
) :
06
‫ﻧﻘﺎﻁ‬
:(
‫ﻓﻲ‬
‫ﺃﻭﻝ‬
‫ﻧﻭﻓﻣﺑﺭ‬
1952
‫ﺃﺟﺭﺕ‬
‫ﺍﻟﻣﺗﺣﺩﺓ‬ ‫ﺍﻟﻭﻻﻳﺎﺕ‬
‫ﺍﻷﻣﺭﻳﻛﻳﺔ‬
‫ﺑﺗﻔﺟﻳﺭﻫﺎ‬ ‫ﻧﻭﻭﻳﺔ‬ ‫ﺗﺟﺭﺑﺔ‬
‫ﻟﻠﻘﻧﺑﻠﺔ‬
‫ﺑﺟﺯﺭ‬ ‫ﺍﻟﻬﻳﺩﺭﻭﺟﻳﻧﻳﺔ‬
‫ﺍﻟﻬﺎﺩﻱ‬ ‫ﺍﻟﻣﺣﻳﻁ‬ ‫ﻓﻲ‬ ‫ﻣﺎﺭﺷﺎﻝ‬
.
‫ﺗﻌﺎﺩﻝ‬ ‫ﻗﻭﺗﻬﺎ‬ ‫ﻛﺎﻧﺕ‬
‫ﺃﻛﺛﺭ‬
‫ﻣﻥ‬
100
‫ﺍﻟﺗﻲ‬ ‫ﺍﻟﺫﺭﻳﺔ‬ ‫ﺍﻟﻘﻧﺑﻠﺔ‬ ‫ﻗﻭﺓ‬ ‫ﺿﻌﻑ‬
‫ﺃﻟﻘﺗﻬﺎ‬
‫ﻣﺩﻳﻧﺔ‬ ‫ﻋﻠﻰ‬
‫ﻓﻲ‬ ‫ﻫﻳﺭﻭﺷﻳﻣﺎ‬
6
‫ﺃﻭﺕ‬
1945
.
‫ﻛﺗﻠﺔ‬ ‫ﻋﻥ‬ ‫ﺍﻟﻣﺣﺭﺭﺓ‬ ‫ﺍﻟﻁﺎﻗﺔ‬ ‫ﺍﻟﻬﻳﺩﺭﻭﺟﻳﻧﻳﺔ‬ ‫ﺍﻟﻘﻧﺑﻠﺔ‬ ‫ﺗﺣﺭﺭﻫﺎ‬ ‫ﺍﻟﺗﻲ‬ ‫ﺍﻟﻁﺎﻗﺔ‬ ‫ﺗﻛﺎﻓﺊ‬
m=10,4 ×109
kg
‫ﻣﺎﺩﺓ‬ ‫ﻣﻥ‬
TNT
.
‫ﺇﻥ‬
‫ﻋﻥ‬ ‫ﻧﺎﺗﺟﺔ‬ ‫ﺍﻟﻬﻳﺩﺭﻭﺟﻳﻧﻳﺔ‬ ‫ﺍﻟﻘﻧﺑﻠﺔ‬ ‫ﺗﺣﺭﺭﻫﺎ‬ ‫ﺍﻟﺗﻲ‬ ‫ﺍﻟﻁﺎﻗﺔ‬
‫ﺍﻧﺩﻣﺎﺝ‬
‫ﺍ‬
‫ﻷ‬
‫ﻭ‬ ، ‫ﺍﻟﺧﻔﻳﻔﺔ‬ ‫ﻧﻭﻳﺔ‬
‫ﺗﺗﺄﻟﻑ‬
‫ﺟﺯﺃﻳﻥ‬ ‫ﻣﻥ‬ ‫ﺍﻟﻘﻧﺑﻠﺔ‬
:
-
‫ﻋﻠﻭﻱ‬ ‫ﺟﺯء‬
،
‫ﺗﺳﻠﺳﻠﻲ‬ ‫ﺍﻧﺷﻁﺎﺭ‬ ‫ﻋﻥ‬ ‫ﻧﺎﺗﺟﺔ‬ ‫ﻗﻧﺑﻠﺔ‬ ‫ﻳﺷﻣﻝ‬
.
-
‫ﺟﺯء‬
‫ﺳﻔﻠﻲ‬
،
‫ﻟ‬ ‫ﻣﺯﻳﺞ‬ ‫ﻳﺷﻣﻝ‬
‫ﻸ‬
‫ﻟ‬ ‫ﺍﻟﻘﺎﺑﻠﺔ‬ ‫ﻧﻭﻳﺔ‬
‫ﻺ‬
‫ﻧﺩﻣﺎﺝ‬
.
‫ﺷﻛﻝ‬ ‫ﻋﻠﻰ‬ ‫ﺍﻟﻌﻠﻭﻱ‬ ‫ﺍﻟﺟﺯء‬ ‫ﻣﻥ‬ ‫ﺍﻟﻣﺗﺣﺭﺭﺓ‬ ‫ﺍﻟﻁﺎﻗﺔ‬ ‫ﺇﻥ‬
‫ﺇﺷﻌﺎﻋﺎﺕ‬
‫ﺍ‬ ‫ﻣﺯﻳﺞ‬ ‫ﺿﻐﻁ‬ ‫ﻋﻠﻰ‬ ‫ﺗﺟﻌﻝ‬
‫ﻷ‬
‫ﺍﻟﺟﺯء‬ ‫ﻓﻲ‬ ‫ﺍﻟﻭﺍﻗﻌﺔ‬ ‫ﻧﻭﻳﺔ‬
‫ﺍﻟﺳﻔﻠﻲ‬
‫ﺍ‬ ‫ﻟﺣﺩﻭﺙ‬ ‫ﻳﺅﺩﻱ‬ ‫ﻣﻣﺎ‬ ‫ﺍﻟﻣﺯﻳﺞ‬ ‫ﻛﺛﺎﻓﺔ‬ ‫ﻓﺗﺯﺩﺍﺩ‬ ،
‫ﻹ‬
‫ﺟﺩﺍ‬ ‫ﻛﺑﻳﺭﺓ‬ ‫ﻁﺎﻗﺔ‬ ‫ﺗﺣﺭﻳﺭ‬ ‫ﻭ‬ ‫ﻧﺩﻣﺎﺝ‬
.
‫ﺇﻥ‬
‫ﺍ‬
‫ﻷ‬
‫ﺍ‬ ‫ﻋﻥ‬ ‫ﺍﻟﻧﺎﺗﺟﺔ‬ ‫ﻧﻭﻳﺔ‬
‫ﻹ‬
‫ﻫﻲ‬ ‫ﺍﻟﻌﻠﻭﻱ‬ ‫ﺍﻟﺟﺯء‬ ‫ﻓﻲ‬ ‫ﻧﺷﻁﺎﺭ‬
‫ﺃ‬
‫ﺫﺍﺕ‬ ‫ﻣﺷﻌﺔ‬ ‫ﻧﻭﻳﺔ‬
‫ﺃﻧﺻﺎﻑ‬
‫ﺃﻋﻣﺎﺭ‬
‫ﻭ‬ ‫ﺍﻟﺟﻭ‬ ‫ﻓﻲ‬ ‫ﺗﻧﺗﺷﺭ‬ ‫ﻣﺧﺗﻠﻔﺔ‬
‫ﺍﻟﺑﻳﺋﺔ‬ ‫ﺗﻠﻭﺙ‬
.
-
‫ﺍ‬ ‫ﻧﻌﺗﺑﺭ‬
‫ﻹ‬
‫ﺍﻟﻳﻭﺭﺍﻧﻳﻭﻡ‬ ‫ﻫﻭ‬ ‫ﺍﻟﻌﻠﻭﻱ‬ ‫ﺍﻟﺟﺯء‬ ‫ﻓﻲ‬ ‫ﻧﺷﻁﺎﺭ‬
235
:


U +


n o


Ba +


Kr +2


n +ɀ
-
‫ﺃﻣﺎ‬
‫ﺍ‬
‫ﻹ‬
‫ﻧﺪﻣﺎﺝ‬
‫ﺍﻟﺟﺯء‬ ‫ﻓﻲ‬
‫ﻫﻮ‬ ‫ﺍﻟﺴﻔﻠﻲ‬
:


H +


H o


He +


n + ɀ
‫ﻛﺘﻠﺔ‬ ‫ﻋﻠﻰ‬ ‫ﺍﻟﺴﻔﻠﻲ‬ ‫ﺍﻟﺠﺰء‬ ‫ﻳﺤﺘﻮﻱ‬
m1 51,4kg
‫ﻣﻦ‬

H
‫ﻛﺘﻠﺔ‬ ‫ﻭ‬
m2 77,1kg
‫ﻣﻦ‬

H
.
‫ﻳﻌﻄﻰ‬
:
‫ﺍﻟﻨﻮﺍﺓ‬ ‫ﺃﻭ‬ ‫ﺍﻟﺠﺴﻴﻢ‬
‫ﺍﻟﻴﻮﺭﺍﻧﻴﻮﻡ‬
235
‫ﺍﻟﻬﻴﻠﻴﻮﻡ‬
4
‫ﺍﻟﻬﻴﺪﺭﻭﺟﻴﻦ‬
3
‫ﺍﻟﻬﻴﺪﺭﻭﺟﻴﻦ‬
2
‫ﺍﻟﻬﻴﺪﺭﻭﺟﻴﻦ‬
1
‫ﺍﻟﻨﻮﺗﺮﻭﻥ‬
‫ﺍﻟﺮﻣﺰ‬

 U

He

H

H

H

n
u
‫ﺑـ‬ ‫ﺍﻟﻜﺘﻠﺔ‬
234,993461
4,001506
3,015500
2,013553
1,007276
1,008665
La bombe H 1952
ͳ‫݁݊݊݋ݐ‬ ൌ ͳͲͲͲ‫݃ܭ‬ǡ ܰ஺ ൌ ͸ǡͲʹ ൈͳͲଶଷ
ǡͳ‫ܸ݁ܯ‬ ൌ ͳǡ͸ ൈ ͳͲିଵଷ
‫ܬ‬ǡͳ‫ݑ‬ ൌ ͻ͵ͳǡͷ
‫ܸ݁ܯ‬
‫ܥ‬ଶ
‫ﺻﻔﺤﺔ‬
1
‫ﻣﻦ‬
10
e
n
c
y
-
e
d

H
.
‫ﻦ‬
1
‫ﺍﻟﻨﻮﺗﺮﻭﻥ‬
‫ﺍﻟﻨﻮﺗﺮﻭﻥ‬
n
c
y
c
y
c
y
c
y

n
n
c
c
c
e
1
1,
,0086
0
e
e
e
e
e
e
d
e
d
u
c
a
t
i
o
n
.
c
o
m
/
e
x
a
m
s
‫ﺍﻟﻣﻭ‬ ‫ﻳﺣﺗﻭﻱ‬
‫ﻳﺣﺗﻭﻱ‬
‫ﺍﻷﻭﻝ‬ ‫ﺍﻟﺟﺯء‬
) :‫ﺍﻷﻭﻝ‬ ‫ﻟﺟﺯء‬
‫ﺍﻷﻭﻝ‬ ‫ﻟﺗﻣﺭﻳﻥ‬
‫ﺍﻷﻭﻝ‬ ‫ﻳﻥ‬
) :
06
‫ﻧﻘﺎﻁ‬ ) :
6
‫ﻝ‬
‫ﻧﻭﻓﻣﺑﺭ‬
‫ﺑﺭ‬
1952
1952
‫ﺃﺟﺭﺕ‬
‫ﺭﺕ‬
‫ﺍﻟﻬﺎﺩﻱ‬ ‫ﺍﻟﻣﺣﻳﻁ‬
‫ﺍﻟﻬﺎﺩﻱ‬ ‫ﻁ‬
.
.
‫ﻛﺎﻧﺕ‬
‫ﺃﻭﺕ‬
1945
. 194
.
‫ﺍﻟﻬﻳﺩﺭﻭﺟﻳﻧﻳﺔ‬ ‫ﺍﻟﻘﻧﺑﻠﺔ‬ ‫ﺭﻫﺎ‬
‫ﺍﻟﻬﻳﺩﺭﻭﺟ‬ ‫ﻘﻧﺑﻠﺔ‬
‫ﻋﻥ‬ ‫ﻧﺎﺗﺟﺔ‬ ‫ﺍﻟﻬﻳﺩﺭﻭﺟﻳﻧﻳﺔ‬ ‫ﺔ‬
‫ﻧﺎﺗﺟ‬ ‫ﺭﻭﺟﻳﻧﻳﺔ‬
‫ﺗﺳﻠﺳﻠﻲ‬ ‫ﺍﻧﺷﻁﺎﺭ‬ ‫ﻋﻥ‬ ‫ﺗﺟﺔ‬
‫ﺍﻧﺷﻁ‬ ‫ﻋﻥ‬
‫ﻟ‬ ‫ﺍﻟﻘﺎﺑﻠﺔ‬ ‫ﻳﺔ‬
‫ﺑﻠﺔ‬
‫ﻺ‬
‫ﻺ‬‫ﻟ‬
‫ﻧﺩﻣﺎﺝ‬
‫ﻧﺩﻣﺎﺝ‬
.
‫ﻛﻝ‬
‫ﺇﺷﻌﺎﻋﺎﺕ‬
‫ﺷﻌﺎﻋﺎﺕ‬
‫ﻋﻠﻰ‬ ‫ﺗﺟﻌﻝ‬
‫ﻋﻠ‬ ‫ﺗﺟﻌﻝ‬
‫ﻛ‬ ‫ﻁﺎﻗﺔ‬ ‫ﺗﺣﺭﻳﺭ‬ ‫ﻭ‬ ‫ﻧﺩﻣﺎﺝ‬
‫ﻁﺎﻗﺔ‬ ‫ﺗﺣﺭﻳﺭ‬ ‫ﻭ‬ ‫ﺝ‬
‫ﺫﺍﺕ‬ ‫ﻣﺷﻌﺔ‬ ‫ﻧﻭﻳﺔ‬
‫ﺫﺍﺕ‬ ‫ﻣﺷﻌﺔ‬
‫ﺃﻧﺻﺎﻑ‬
‫ﺃﻧﺻ‬
d
u
c
a
u
c
a
c
a
3as.ency-education.com
I
–
1
-
‫ﻟﻠﻨﻮﺍﺓ‬ ‫ﺍﻟﺮﺑﻂ‬ ‫ﻁﺎﻗﺔ‬ ‫ﻋﺮﻑ‬
.
2
-
‫ﺃ‬
‫ﺍﻟﻴﻮﺭﺍﻧﻴﻮﻡ‬ ‫ﻟﻨﻮﺍﺓ‬ ‫ﺍﻟﺮﺑﻂ‬ ‫ﻁﺎﻗﺔ‬ ‫ﺣﺴﺐ‬
235
‫ﻟﻬ‬ ‫ﻧﻮﻳﺔ‬ ‫ﻟﻜﻞ‬ ‫ﺍﻟﺮﺑﻂ‬ ‫ﻁﺎﻗﺔ‬ ‫ﻭ‬ ،
‫ﺍﻟﻨﻮﺍﺓ‬ ‫ﺬﻩ‬
.
3
-
‫ﻣﻨﺤﻨﻰ‬ ‫ﻋﻠﻰ‬ ‫ﺍﻟﻨﻮﺍﺓ‬ ‫ﻫﺬﻩ‬ ‫ﺿﻊ‬
‫ﺃﺳﺘﻮﻥ‬
‫ﺍﻟﻨﻮﺍﺗﻴﻦ‬ ‫ﻣﻊ‬ ‫ﺍﺳﺘﻘﺮﺍﺭﻫﺎ‬ ‫ﻗﺎﺭﻥ‬ ‫ﺛﻢ‬ ، ‫ﺍﻟﻤﺮﻓﻖ‬
142
Ba
‫ﻭ‬
92
Kr
.
4
-
‫ﺃ‬
‫ﻛﺘﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺍﻟﻤﺤﺮﺭﺓ‬ ‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﺣﺴﺐ‬
m 55kg
‫ﺍﻟﻴﻮﺭﺍﻧﻴﻮﻡ‬ ‫ﻣﻦ‬
235
.
II
–
1
-
‫ﻧﺤﺘﺎﺝ‬ ‫ﻟﻤﺎﺫﺍ‬
‫ﺇﻟﻰ‬
‫ﺍ‬ ‫ﺍﻧﺪﻣﺎﺝ‬ ‫ﻟﺘﺤﻘﻴﻖ‬ ‫ﺟﺪﺍ‬ ‫ﻛﺒﻴﺮﺓ‬ ‫ﻁﺎﻗﺔ‬
‫ﻷ‬
‫؟‬ ‫ﻧﻮﻳﺔ‬
.
2
-
‫ﺃ‬
‫ﻋﺪﺩ‬ ‫ﺣﺴﺐ‬
‫ﺃ‬
‫ﻧﻮﻳﺔ‬
2
H
‫ﻭ‬
3
H
‫ﺍﻟﻬﻴﺪﺭﻭﺟﻴﻨﻴﺔ‬ ‫ﺍﻟﻘﻨﺒﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺍﻟﺴﻔﻠﻲ‬ ‫ﺍﻟﺠﺰء‬ ‫ﻓﻲ‬
.
3
-
‫ﺃ‬
‫ﺍﻟﻬﻴﺪﺭﻭﺟﻴﻨﻴﺔ‬ ‫ﺍﻟﻘﻨﺒﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺍﻟﺴﻔﻠﻲ‬ ‫ﺍﻟﺠﺰء‬ ‫ﻓﻲ‬ ‫ﺍﻟﻤﺤﺮﺭﺓ‬ ‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﺣﺴﺐ‬
.
‫ﻋﻠﻰ‬
‫ﺃﻱ‬
‫؟‬ ‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻫﺬﻩ‬ ‫ﺗﻈﻬﺮ‬ ‫ﺷﻜﻞ‬
.
4
-
‫ﻋﻠﻤﺎ‬
‫ﺃﻥ‬
1
‫ﻣﺎﺩﺓ‬ ‫ﻣﻦ‬ ‫ﻁﻦ‬
TNT
‫ﻗﺪﺭﻫﺎ‬ ‫ﻁﺎﻗﺔ‬ ‫ﻳﺤﺮﺭ‬
E 4,18u109 J
.
‫ﺗﺄﻛﺪ‬
‫ﺍﻟﺴﺆﺍﻝ‬ ‫ﻓﻲ‬ ‫ﺍﻟﻤﺤﺮﺭﺓ‬ ‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻗﻴﻤﺔ‬ ‫ﻣﻦ‬
II
–
3
.
III
–
‫ﺍﻟﺒﺎﺭﻳﻮﻡ‬
142
‫ﺍ‬ ‫ﻋﻦ‬ ‫ﺍﻟﻨﺎﺗﺞ‬
‫ﻹ‬
‫ﺑﺎﻟﻨﻤﻂ‬ ‫ﻣﺸﻊ‬ ‫ﺍﻟﻬﻴﺪﺭﻭﺟﻴﻨﻴﺔ‬ ‫ﻟﻠﻘﻨﺒﻠﺔ‬ ‫ﺍﻟﻌﻠﻮﻱ‬ ‫ﺍﻟﺠﺰء‬ ‫ﻓﻲ‬ ‫ﻧﺸﻄﺎﺭ‬
Ⱦି
‫ﻧﺼﻒ‬ ‫ﺯﻣﻦ‬ ‫ﻭ‬ ،
‫ﻋﻤﺮﻩ‬
‫ݐ‬ଵ
ଶ
ൗ
.
‫ﺍﻟﺒﺎﺭﻳﻮﻡ‬ ‫ﻣﻦ‬ ‫ﻋﻴﻨﺔ‬ ‫ﻧﻌﺘﺒﺮ‬
142
‫ﻛﺘﻠﺘﻬﺎ‬
m0 350 mg
‫ﻓﻲ‬
‫ﺍﻟﻠﺤﻈﺔ‬
t=0
.
‫ﺍﻟﺸﻜﻞ‬ ‫ﻳﻤﺜﻞ‬
-
1
-
‫ﺍﻟﻤﻨﺤﻨﻰ‬
‫ﺍﻟ‬
‫ﺒﻴﺎﻧ‬
‫ﻲ‬
:
௠బ
௠
ൌ ݂ሺ‫ݐ‬ሻ
)
m
‫ﺍﻟﺒﺎﺭﻳﻮﻡ‬ ‫ﻛﺘﻠﺔ‬ ‫ﻫﻲ‬
142
‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻓﻲ‬
t
(
1
-
‫ﺇ‬
‫ﺍﻟﺒﺎﺭﻳﻮﻡ‬ ‫ﻋﻤﺮ‬ ‫ﻧﺼﻒ‬ ‫ﺯﻣﻦ‬ ‫ﺍﺳﺘﻨﺘﺞ‬ ‫ﺍﻟﺒﻴﺎﻥ‬ ‫ﻋﻠﻰ‬ ‫ﻋﺘﻤﺎﺩﺍ‬
142
.
2
-
‫ﺃ‬
‫ﺍﻻﺑﺘﺪﺍﺋﻲ‬ ‫ﺍﻟﻨﺸﺎﻁ‬ ‫ﺣﺴﺐ‬
A0
‫ﺍﻟﺒﺎﺭﻳﻮﻡ‬ ‫ﻟﻌﻴﻨﺔ‬
142
.
3
-
‫ﺑﻴﻦ‬
‫ﺃﻥ‬
‫ﺍﻟﺒﺎﺭﻳﻮﻡ‬ ‫ﺗﻔﻜﻚ‬ ‫ﻋﻦ‬ ‫ﺍﻟﻨﺎﺗﺠﺔ‬ ‫ﺍﻟﻨﻮﺍﺓ‬
142
‫ﻫﻲ‬
57La
.
4
-
‫ﻣﻦ‬ ‫ﺃﻭﺟﺪ‬
‫ﻟ‬ ‫ﺍﻟﻤﺆﻭﻳﺔ‬ ‫ﺍﻟﻨﺴﺒﺔ‬ ‫ﺍﻟﺒﻴﺎﻥ‬
‫ﻸ‬
‫ﻧﻮﻳﺔ‬
‫ﺍﻟﻤﺘﻔﻜﻜﺔ‬
‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻋﻨﺪ‬
‫ݐ‬ ൌ ʹ‫ݐ‬ଵ
ଶ
ൗ
.
5
-
‫ﺑﻴﻦ‬
‫ﺃ‬
‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻓﻲ‬ ‫ﻧﻪ‬
t'
‫ﻛﺘﻠﺔ‬ ‫ﺗﻜﻮﻥ‬
57La
:
݉௧ᇲሺ‫ܽܮ‬ሻ ൌ ݉଴ሺ‫ܽܤ‬ሻ െ ݉௧ᇲሺ‫ܽܤ‬ሻ
.
6
-
‫ﺃﻭﺟﺪ‬
‫ﺍﻟﺒﻴﺎﻥ‬ ‫ﻣﻦ‬
݉௧ᇲሺ‫ܽܮ‬ሻ
‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻋﻨﺪ‬
t' 15 mn
‫ﺍﻟﺛﺎﻧﻲ‬ ‫ﺍﻟﺗﻣﺭﻳﻥ‬
:
)
07
‫ﻧﻘﺎﻁ‬
(
‫ﻣﺮﻭﻧﺘﻪ‬ ‫ﺛﺎﺑﺖ‬ ‫ﻭ‬ ‫ﻣﺘﻼﺻﻘﺔ‬ ‫ﻏﻴﺮ‬ ‫ﺣﻠﻘﺎﺗﻪ‬ ‫ﻧﺎﺑﻀﺎ‬ ‫ﻧﻌﺘﺒﺮ‬
1
20 .m
k N 
‫ﻁﺮﻓﻪ‬ ‫ﺑﻴﻨﻤﺎ‬ ‫ﺛﺎﺑﺖ‬ ‫ﺑﺤﺎﻣﻞ‬ ‫ﻁﺮﻓﻴﻪ‬ ‫ﺃﺣﺪ‬ ‫ﻧﺜﺒﺖ‬ ،
‫ﺑﺠﺴﻢ‬ ‫ﺍﻵﺧﺮ‬
(S)
‫ﻛﺘﻠﺘﻪ‬
50
m g
.
‫ﺍﻟﻨﻘﻄﺔ‬ ‫ﻣﻊ‬ ‫ﺍﻟﺠﺴﻢ‬ ‫ﻋﻄﺎﻟﺔ‬ ‫ﻣﺮﻛﺰ‬ ‫ﻳﻨﻄﺒﻖ‬ ‫ﺍﻟﺘﻮﺍﺯﻥ‬ ‫ﻋﻨﺪ‬
O
‫ﺍﻟﻤﻌﻠﻢ‬ ‫ﻣﺒﺪﺃ‬
ሺܱǡ ଓ
Ԧሻ
.
I
‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻋﻨﺪ‬ ‫ـ‬
0
t
‫ﺍﻟﺠﺴﻢ‬ ‫ﻧﺰﻳﺢ‬ ،
(S)
‫ﺑﻤﺴﺎﻓﺔ‬ ‫ﺍﻟﻤﻮﺟﺐ‬ ‫ﺍﻟﻤﻨﺤﻨﻰ‬ ‫ﻓﻲ‬ ‫ﺗﻮﺍﺯﻧﻪ‬ ‫ﻭﺿﻊ‬ ‫ﻋﻦ‬
0
5
X cm
‫ﻧﺤﺮﺭﻩ‬ ‫ﺛﻢ‬
‫ﺍﺑﺘﺪﺍﺋﻴﺔ‬ ‫ﺳﺮﻋﺔ‬ ‫ﺑﺪﻭﻥ‬
.
‫ﺍﻟﺸﻜﻞ‬
-
2
-
1
‫ﺍ‬ ‫ﻧﻬﻤﻞ‬ ‫ـ‬
‫ﻹ‬
‫ﻛﻴﻔﻴﺔ‬ ‫ﻟﺤﻈﺔ‬ ‫ﻓﻲ‬ ‫ﺍﻟﺠﺴﻢ‬ ‫ﻋﻠﻰ‬ ‫ﺍﻟﻤﺆﺛﺮﺓ‬ ‫ﺍﻟﻘﻮﻯ‬ ‫ﻣﺜﻞ‬ ،‫ﺍﻷﻓﻘﻲ‬ ‫ﺍﻟﺴﻄﺢ‬ ‫ﻭ‬ ‫ﺍﻟﺠﺴﻢ‬ ‫ﺑﻴﻦ‬ ‫ﺣﺘﻜﺎﻛﺎﺕ‬
t
.
݉଴
݉
t(mn)
1
5
‫ﺍﻟﺸﻜﻞ‬
-
1
-
‫ﺻﻔﺤﺔ‬
2
‫ﻣﻦ‬
10
‫ﻁﺮﻓﻪ‬ ‫ﺑﻴﻨﻤﺎ‬ ‫ﺛﺎﺑﺖ‬ ‫ﻞ‬
‫ﻁﺮﻓﻪ‬ ‫ﺑﻴﻨﻤﺎ‬ ‫ﺖ‬
‫ﻌﻠﻢ‬
ሺ
ሺܱ
ܱǡ ଓ
Ԧ
Ԧሻ
Ԧ
.
‫ﻧﺤﺮﺭﻩ‬
‫ﺭﻩ‬
e
d
u
c
a
t
i
o
n
.
c
o
m
/
e
x
a
m
s
II
II
–
–
1
-
‫ﻟﻤ‬
2
-
‫ﺃ‬
‫ﻋ‬ ‫ﺣﺴﺐ‬ 2
-
‫ﺃ‬
‫ﺣ‬
3
-
‫ﺃ‬ 3
-
‫ﺃ‬
‫ﺍﻟ‬ ‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﺣﺴﺐ‬
‫ﺍﻟﻄ‬ ‫ﺣﺴﺐ‬
‫ﺃﻥ‬
1
‫ﻣﺎﺩﺓ‬ ‫ﻣﻦ‬ ‫ﻁﻦ‬
‫ﻣﺎﺩﺓ‬ ‫ﻣﻦ‬ ‫ﻁﻦ‬
NT
NT
‫ﺍ‬ ‫ﻋﻦ‬ ‫ﺍﻟﻨﺎﺗﺞ‬
‫ﺍ‬ ‫ﻋﻦ‬ ‫ﺗﺞ‬
‫ﻹ‬
‫ﻹ‬
‫ﻓﻲ‬ ‫ﻧﺸﻄﺎﺭ‬
‫ﻧﺸﻄﺎ‬
‫ﺍﻟﺒﺎﺭﻳﻮﻡ‬ ‫ﻣﻦ‬ ‫ﻨﺔ‬
‫ﺍﻟﺒﺎﺭﻳﻮﻡ‬
142
42
‫ﻛﺘ‬
‫ﻲ‬
:
௠
௠బ
బ
௠
௠
c
ൌ ݂
݂ሺ
ሺ‫ݐ‬
‫ݐ‬ሻ
ሻ
)
m
‫ﺍﻟﺒﺎﺭﻳﻮﻡ‬ ‫ﻋﻤﺮ‬ ‫ﻒ‬
‫ﺍﻟﺒﺎﺭﻳﻮﻡ‬ ‫ﺮ‬
142
. 2
142
.
57La
7
.
.
e
d
u
c
a
t
e
d
u
c
a
t
d
d
d
d
d
d
d
d
d
d
d
d
d
u
d
u
d
u
d
u
d
u
d
u
d
u
u
u
c
u
c
u
c
u
c
d
u
d
u
d
u
d
u
d
u
d
u
d
u
d
u
d
u
c
u
c
u
c
u
c
u
c
u
c
u
c
c
c
c
c
c
c
c
c
c
d
d
d
d
u
u
u
y
-
e
y
-
e
‫ﺍﻟﺸﻜﻞ‬
1
3as.ency-education.com
2
‫ﺍﻟﻨﻘﻄﺔ‬ ‫ﻣﻦ‬ ‫ﺍﻟﻤﺎﺭ‬ ‫ﺍﻟﺜﻘﺎﻟﻴﺔ‬ ‫ﺍﻟﻜﺎﻣﻨﺔ‬ ‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻟﺪﺭﺍﺳﺔ‬ ‫ﺍﻟﻤﺮﺟﻌﻲ‬ ‫ﺍﻟﻤﺴﺘﻮﻯ‬ ‫ﻧﻌﺘﺒﺮ‬ ‫ـ‬
A
.
‫ﻣﺒﺪﺃ‬ ‫ﺑﺘﻄﺒﻴﻖ‬
‫ﺇ‬
‫ﻟﻠﺠﻤﻠﺔ‬ ‫ﻟﻠﺠﻤﻠﺔ‬ ‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻧﺤﻔﺎﻅ‬
)
‫ﺟﺴﻢ‬
+
‫ﻧﺎﺑﺾ‬
(
‫ﺍﻻﺳﺘﻄﺎﻟﺔ‬ ‫ﺗﺤﻘﻘﻬﺎ‬ ‫ﺍﻟﺘﻲ‬ ‫ﺍﻟﺘﻔﺎﺿﻠﻴﺔ‬ ‫ﺍﻟﻤﻌﺎﺩﻟﺔ‬ ‫ﺃﻭﺟﺪ‬ ،
x
.
3
‫ﺃﻥ‬ ‫ﻣﻦ‬ ‫ﺗﺤﻘﻖ‬ ‫ـ‬
0
( ) cos( )
k
x t X t
m
M

‫ﺍﻟﺘﻔﺎﺿﻠﻴﺔ‬ ‫ﻟﻠﻤﻌﺎﺩﻟﺔ‬ ‫ﺣﻼ‬
.
4
‫ﺍﻻﺑﺘﺪﺍﺋﻴﺔ‬ ‫ﺍﻟﺼﻔﺤﺔ‬ ‫ﺣﺪﺩ‬ ‫ـ‬
M
.
‫ﻟﻠﺤﺮﻛﺔ‬ ‫ﺍﻟﺰﻣﻨﻴﺔ‬ ‫ﺍﻟﻤﻌﺎﺩﻟﺔ‬ ‫ﺃﻛﺘﺐ‬ ‫ﺛﻢ‬
.
5
‫ـ‬
‫ﺃ‬
‫ﺍﻟﺠﺴﻢ‬ ‫ﺳﺮﻋﺔ‬ ‫ﻋﺒﺎﺭﺓ‬ ‫ﻛﺘﺐ‬
( )
v t
.
‫ﺛﻢ‬
‫ﺇ‬
‫ﺍ‬ ‫ﺳﺮﻋﺘﻪ‬ ‫ﺳﺘﻨﺘﺞ‬
‫ﻷ‬
‫ﻋﻈﻤﻴﺔ‬
0
V
.
II
‫ﺍﻟﺠﺴﻢ‬ ‫ﻣﺮﻭﺭ‬ ‫ﻋﻨﺪ‬ ‫ـ‬
(S)
‫ﺍ‬ ‫ﻓﻲ‬ ‫ﺍﻟﺘﻮﺍﺯﻥ‬ ‫ﺑﻮﺿﻊ‬
‫ﻹ‬
‫ﺃﻓﻘﻲ‬ ‫ﻣﺴﺘﻮﻯ‬ ‫ﻋﻠﻰ‬ ‫ﺣﺮﻛﺘﻪ‬ ‫ﻳﺘﺎﺑﻊ‬ ‫ﻭ‬ ‫ﺍﻟﻨﺎﺑﺾ‬ ‫ﻋﻦ‬ ‫ﻳﻨﻔﺼﻞ‬ ‫ﺍﻟﻤﻮﺟﺐ‬ ‫ﺗﺠﺎﻩ‬
‫ﺍ‬ ‫ﻳﺘﻢ‬ ‫ﺣﻴﺚ‬
‫ﻹ‬
‫ﻗﻮ‬ ‫ﻭﺟﻮﺩ‬ ‫ﻓﻲ‬ ‫ﻧﺰﻻﻕ‬
‫ﺓ‬
‫ﺷﺪﺗﻬﺎ‬ ‫ﺍﻻﺣﺘﻜﺎﻙ‬
0,1
f N
.
1
‫ﻁﺒ‬ ‫ﺣﺪﺩ‬ ،‫ﻟﻨﻴﻮﺗﻦ‬ ‫ﺍﻟﺜﺎﻧﻲ‬ ‫ﺍﻟﻘﺎﻧﻮﻥ‬ ‫ﺑﺘﻄﺒﻴﻖ‬ ‫ـ‬
‫ﺍﻟﺠﺴﻢ‬ ‫ﺣﺮﻛﺔ‬ ‫ﻴﻌﺔ‬
(S)
.
‫ﺛﻢ‬
‫ﺃ‬
‫ﺗﺴﺎﺭﻋﻪ‬ ‫ﺣﺴﺐ‬
.
2
‫ﺍﻟﻨﻘﻄﺔ‬ ‫ﺑﺎﻋﺘﺒﺎﺭ‬ ‫ـ‬
O
‫ﺍﻟﺤﺮﻛﺔ‬ ‫ﻟﻤﺤﻮﺭ‬ ‫ﻣﺒﺪﺃ‬
.
‫ﻟﺤﻈﺔ‬ ‫ﻭ‬
‫ﺇ‬
‫ﺍﻟﺠﺴﻢ‬ ‫ﻧﻔﺼﺎﻝ‬
(S)
‫ﻟ‬ ‫ﻣﺒﺪﺃ‬ ‫ﺍﻟﻨﺎﺑﺾ‬ ‫ﻋﻦ‬
‫ﻸ‬
‫ﺯﻣﻨﺔ‬
.
-
‫ﺍﻟﻤﻌﺎﺩﻻ‬ ‫ﺃﻋﻂ‬
‫ﺕ‬
‫ﻟﻠﺤﺮﻛﺔ‬ ‫ﺍﻟﺰﻣﻨﻴﺔ‬
.
3
‫ـ‬
.
‫ﺍﻟﺠﺴﻢ‬ ‫ﺃﻥ‬ ‫ﺑﻴﻦ‬
(S)
‫ﻳﺼﻞ‬
‫ﺇﻟﻰ‬
‫ﺍﻟﻨﻘﻄﺔ‬
A
‫ﺑﺴﺮﻋﺔ‬
1
0,44 m.s
A
v 
.
‫ﺃﻥ‬ ‫ﻋﻠﻤﺎ‬
0,2
OA m
.
III
‫ﻳﻐﺎﺩﺭ‬ ‫ـ‬
‫ﺍﻟﺠﺴﻢ‬
(S)
‫ﺍﻟﻨﻘﻄﺔ‬ ‫ﻋﻨﺪ‬ ‫ﺍﻷﻓﻘﻲ‬ ‫ﺍﻟﻤﺴﺘﻮﻱ‬
A
‫ﺍﻟﻬﻮﺍء‬ ‫ﻓﻲ‬ ‫ﻟﻴﺴﻘﻂ‬
.
‫ﺑﺈﻫ‬
‫ﺍ‬ ‫ﻗﻮﻯ‬ ‫ﻤﺎﻝ‬
‫ﻹ‬
‫ﺃﺭﺧﻤﻴﺪ‬ ‫ﺩﺍﻓﻌﺔ‬ ‫ﻭ‬ ‫ﺣﺘﻜﺎﻙ‬
‫ﺱ‬
.
1
‫ﺍﻟﻤﻌﻠﻢ‬ ‫ﻓﻲ‬ ‫ﺍﻟﺠﺴﻢ‬ ‫ﺣﺮﻛﺔ‬ ‫ﺃﺩﺭﺱ‬ ‫ـ‬
ሺ‫ܣ‬ǡ ଓǡ
ሬሬԦ ଔ
Ԧሻ
‫ﺑ‬ ،
‫ﺈ‬
‫ﺍﻟﻨﻘﻄﺔ‬ ‫ﻣﻦ‬ ‫ﺍﻟﺠﺴﻢ‬ ‫ﻣﺮﻭﺭ‬ ‫ﻟﺤﻈﺔ‬ ‫ﻋﺘﺒﺎﺭ‬
A
‫ﻟﻸﺯﻣﻨﺔ‬ ‫ﻣﺒﺪﺃ‬
.
‫ﺍﻟﻤﺴﺎﺭ‬ ‫ﻣﻌﺎﺩﻟﺔ‬ ‫ﺇﺳﺘﻨﺘﺞ‬ ‫ﺛﻢ‬
.
2
‫ﺍﻟﻨﻘﻄﺔ‬ ‫ﺇﺣﺪﺍﺛﻴﺎﺕ‬ ‫ﺣﺪﺩ‬ ‫ـ‬
B
‫ﻧﻌﻄﻲ‬ ،
50
AC cm
.
;
;
;
;
;
;
;
;
;
;
‫ﻳﻌﻄﻰ‬
;;U
2
10 m.s
g 
;
I
;
;
‫ﺍﻟﺸﻜﻞ‬
-
2
-
‫ﺻﻔﺤﺔ‬
3
‫ﻣﻦ‬
10
e
n
c
y
-
e
d
u
c
a
t
i
o
n
.
c
o
m
/
e
x
a
m
s
4
4
‫ﺣﺪﺩ‬ ‫ـ‬
‫ـ‬
5
5
‫ـ‬
‫ـ‬
‫ﺃ‬
‫ﺃ‬
‫ﻋﺒﺎﺭﺓ‬ ‫ﻛﺘﺐ‬
‫ﻋﺒ‬ ‫ﻛﺘﺐ‬
I
‫ﺍﻟﺠﺴﻢ‬ ‫ﻣﺮﻭﺭ‬ ‫ﻋﻨﺪ‬ ‫ـ‬
‫ﺍﻟﺠ‬ ‫ﻣﺮﻭﺭ‬ ‫ﻨﺪ‬
S)
‫ﺍ‬ ‫ﻳﺘﻢ‬
‫ﻹ‬
‫ﻹ‬
‫ﻭﺟﻮﺩ‬ ‫ﻓﻲ‬ ‫ﻧﺰﻻﻕ‬
‫ﻭﺟ‬ ‫ﻓﻲ‬ ‫ﻧﺰﻻﻕ‬
‫ﺣ‬ ،‫ﻟﻨﻴﻮﺗﻦ‬ ‫ﺍﻟﺜﺎﻧﻲ‬ ‫ﻟﻘﺎﻧﻮﻥ‬
‫ﻟﻨﻴﻮﺗ‬ ‫ﺍﻟﺜﺎﻧﻲ‬ ‫ﻥ‬
O
‫ﺍﻟﺤﺮﻛ‬ ‫ﻟﻤﺤﻮﺭ‬ ‫ﻣﺒﺪﺃ‬
‫ﺍﻟ‬ ‫ﻟﻤﺤﻮﺭ‬ ‫ﻣﺒﺪﺃ‬
‫ﻟﻠﺤﺮﻛﺔ‬ ‫ﻟﺰﻣﻨﻴﺔ‬
‫ﻟﻠﺤﺮﻛﺔ‬
.
‫ﺍﻟﻨﻘﻄﺔ‬
‫ﻘﻄﺔ‬
A
A
‫ﺑﺴﺮﻋﺔ‬
‫ﺴﺮ‬
‫ﺍﻟﻨﻘﻄﺔ‬ ‫ﻋﻨﺪ‬ ‫ﻲ‬
‫ﻟﻨﻘﻄﺔ‬
A
A
‫ﻟﻴﺴﻘﻂ‬
‫ﻟﻴﺴ‬
ሺ
‫ﺑ‬ ،
‫ﺈ‬
‫ﻣﺮﻭﺭ‬ ‫ﻟﺤﻈﺔ‬ ‫ﻋﺘﺒﺎﺭ‬
‫ﻣﺮﻭ‬ ‫ﻟﺤﻈﺔ‬ ‫ﻋﺘﺒﺎﺭ‬
3as.ency-education.com
‫ﺍﻟﺜﺎﻧﻲ‬ ‫ﺍﻟﺠﺰء‬
) :
7
‫ﻧﻘﺎﻁ‬
(
‫ﺍﻟﺘﺠﺮﻳﺒﻲ‬ ‫ﺍﻟﺘﻤﺮﻳﻦ‬
)
7
‫ﻧﻘﺎﻁ‬
(
:
‫ﺃﻭﻻ‬
:
‫ﻛﺮﺑﻮﻛﺴﻴﻠﻲ‬ ‫ﻟﺤﻤﺾ‬ ‫ﻣﺎﺋﻲ‬ ‫ﻣﺤﻠﻮﻝ‬ ‫ﺩﺭﺍﺳﺔ‬
࡯࢔ࡴ૛࢔ା૚࡯ࡻࡻࡴ
:
‫ﻣﺎﺋﻴﺎ‬ ‫ﻣﺤﻠﻮﻝ‬ ‫ﻧﺤﻀﺮ‬
)
S
(
‫ﻛﺘﻠﺘﻬﺎ‬ ‫ﻛﻤﻴﺔ‬ ‫ﺑﺤﻞ‬ ‫ﺫﻟﻚ‬ ‫ﻭ‬
m=1,44 g
‫ﺍﻟﺸﻜﻞ‬ ‫ﻣﻦ‬ ‫ﺻﻴﻐﺘﺔ‬ ‫ﻛﺮﺑﻮﻛﺴﻴﻠﻲ‬ ‫ﺣﻤﺾ‬ ‫ﻣﻦ‬
:
‫ܥ‬௡‫ܪ‬ଶ௡ାଵ‫ܪܱܱܥ‬
‫ﺣﺠﻤﻪ‬ ‫ﻣﺤﻠﻮﻝ‬ ‫ﻋﻠﻰ‬ ‫ﻓﻨﺤﺼﻞ‬ ،‫ﺍﻟﻤﻘﻄﺮ‬ ‫ﺍﻟﻤﺎء‬ ‫ﻓﻲ‬
ܸ
௔= 1L
‫ﺍﻟﻤﻮﻟﻲ‬ ‫ﺗﺮﻛﻴﺰﻩ‬ ‫ﻭ‬
‫ܥ‬௔
.
‫ﻧﺄﺧﺬ‬
‫ﺣﺠﻤﺎ‬
ܸ
௔=20 mL
‫ﺍﻟﻤﺤﻠﻮﻝ‬ ‫ﻣﻦ‬
)
S
(
،
‫ﻭ‬
‫ﺍﻟﺼﻮﺩﻳﻮﻡ‬ ‫ﻟﻬﻴﺪﺭﻭﻛﺴﻴﺪ‬ ‫ﻣﺎﺋﻲ‬ ‫ﻣﺤﻠﻮﻻ‬ ‫ﺗﺪﺭﻳﺠﻴﺎ‬ ‫ﻟﻪ‬ ‫ﻧﻀﻴﻒ‬
( ( )
aq aq
Na OH
 

‫ﺍﻟﻤﻮﻟﻲ‬ ‫ﺗﺮﻛﻴﺰﻩ‬
‫ܥ‬௕= 0,05 mol/ L
.
‫ﻟﻴﻜﻦ‬
VE
‫ﺍ‬ ‫ﺍﻟﻤﺤﻠﻮﻝ‬ ‫ﺣﺠﻢ‬ ‫ﻫﻮ‬
‫ﻷ‬
‫ﻟﻠﺘﻜﺎﻓﺆ‬ ‫ﺍﻟﻼﺯﻡ‬ ‫ﺳﺎﺳﻲ‬
.
‫ﻗﻴﻢ‬ ‫ﻧﺴﺠﻞ‬
PH
‫ﻋﻨﺪ‬
‫ﻛﻞ‬
‫ﺇﺿﺎﻓﺔ‬
.
‫ﻣﻦ‬ ‫ﺍﻟﺘﺠﺮﻳﺒﻴﺔ‬ ‫ﺍﻟﻘﻴﺎﺳﺎﺕ‬ ‫ﻣﻜﻨﺖ‬
‫ﺍﻟﺒﻴﺎﻧﻲ‬ ‫ﺍﻟﻤﻨﺤﻨﻰ‬ ‫ﺭﺳﻢ‬
ሾ‫ܪ‬ଷܱାሿ ൌ ݂ ቀ
ଵ
௏್
ቁ
‫ﺍﻟﺸﻜﻞ‬ ‫ﻓﻲ‬ ‫ﺍﻟﻤﻤﺜﻞ‬
-
3
-
)
‫ﺣﻴﺚ‬
ܸ௕
‫ﺍﻟﻤﻀﺎﻑ‬ ‫ﺍﻻﺳﺎﺳﻲ‬ ‫ﺍﻟﻤﺤﻠﻮﻝ‬ ‫ﺣﺠﻢ‬ ‫ﻫﻮ‬
. (
1
-
‫ﺃ‬
‫ﺍﻟﺤﻤﺾ‬ ‫ﺗﺸﺮﺩ‬ ‫ﻣﻌﺎﺩﻟﺔ‬ ‫ﻛﺘﺐ‬
‫ܥ‬௡‫ܪ‬ଶ௡ାଵ‫ܪܱܱܥ‬
‫ﺍﻟﻤﺎء‬ ‫ﻓﻲ‬
.
2
-
‫ﺃﻛﺘﺐ‬
‫ﺍﻟﻜﺮﺑﻮﻛﺴﻴﻠﻲ‬ ‫ﺑﺎﻟﺤﻤﺾ‬ ‫ﺍﻟﺨﺎﺻﺔ‬ ‫ﺍﻟﺤﻤﻮﺿﺔ‬ ‫ﺛﺎﺑﺖ‬ ‫ﻋﺒﺎﺭﺓ‬
.
3
-
‫ﺃﻛﺘﺐ‬
‫ﺷﻮﺍﺭﺩ‬ ‫ﻣﻊ‬ ‫ﺍﻟﻜﺮﺑﻮﻛﺴﻴﻠﻲ‬ ‫ﺍﻟﺤﻤﺾ‬ ‫ﺗﻔﺎﻋﻞ‬ ‫ﻣﻌﺎﺩﻟﺔ‬
OH-
‫ﺗﺎﻣﺎ‬ ‫ﻧﻌﺘﺒﺮﻩ‬ ‫ﺍﻟﺬﻱ‬ ‫ﺍﻟﺼﻮﺩﻳﻮﻡ‬ ‫ﻟﻬﻴﺪﺭﻭﻛﺴﺪ‬
.
4
-
‫ﺍﻟﺤﻤﻮﺿﺔ‬ ‫ﺛﺎﺑﺖ‬ ‫ﻋﻦ‬ ‫ﻋﺒﺮ‬
Ka
‫ﺑﺪﻻﻟﺔ‬ ‫ﺍﻟﻜﺮﺑﻮﻛﺴﻴﻠﻲ‬ ‫ﻟﻠﺤﻤﺾ‬
:
ሾ‫ܪ‬ଷܱାሿǡ ܸ௕ǡ ‫ܥ‬௕ǡ ܸ
௔ǡ ‫ܥ‬௔
‫ﺑﻴﻦ‬ ‫ﺛﻢ‬ ،
‫ﺃ‬
‫ﻥ‬
:
)
1
(
….
ሾ‫ܪ‬ଷܱାሿ ൌ ‫ܭ‬௔ܸா ൈ ቀ
ଵ
௏್
ቁ െ ‫ܭ‬௔
5
-
‫ﺇ‬
‫ﺍﻟﻌﻼﻗﺔ‬ ‫ﻭ‬ ‫ﺍﻟﺒﻴﺎﻥ‬ ‫ﻣﻦ‬ ‫ﺳﺘﻨﺘﺞ‬
)
1
(
‫ﻗﻴﻤﺘﻲ‬
Ka
‫ﻭ‬
VE
.
6
-
‫ﺃ‬
‫ﻗﻴﻤﺔ‬ ‫ﺣﺴﺐ‬
‫ܥ‬௔
‫ﺛﻢ‬ ،
‫ﺃﻭﺟﺪ‬
‫ﺍﻟﻤﺠﻤﻠﺔ‬ ‫ﺍﻟﺼﻴﻐﺔ‬
‫ﺍﻟﻜﺮﺑﻮﻛﺴﻴﻠﻲ‬ ‫ﻟﻠﺤﻤﺾ‬
.
‫ﺗﻌﻄﻰ‬
:
‫ﺛﺎﻧﻴﺎ‬
:
‫ﻛﻴﻤﻴﺎﺋﻲ‬ ‫ﻟﺘﺤﻮﻝ‬ ‫ﺍﻟﺤﺮﻛﻴﺔ‬ ‫ﺍﻟﺪﺭﺍﺳﺔ‬
:
1
-
‫ﻣﻊ‬ ‫ﺍﻟﺴﺎﺑﻖ‬ ‫ﺍﻟﺤﻤﺾ‬ ‫ﻳﺘﻔﺎﻋﻞ‬
‫ﺻﻴﻐﺘﻪ‬ ‫ﻛﺤﻮﻝ‬
ସଽ െ 
‫ﻋﻀﻮﻱ‬ ‫ﻛﻴﻤﻴﺎﺋﻲ‬ ‫ﻧﻮﻉ‬ ‫ﻓﻴﻨﺘﺞ‬
E
‫ﺍﻟﻤﺎء‬ ‫ﻭ‬
.
-
‫ﺃﻛﺘﺐ‬
‫ﺍﻟﺘﻔﺎﻋﻞ‬ ‫ﻣﻌﺎﺩﻟﺔ‬
.
-
‫ﺍﻟﻜﻴﻤﻴﺎﺋﻲ‬ ‫ﺍﻟﻨﻮﻉ‬ ‫ﺇﻟﻴﻬﺎ‬ ‫ﻳﻨﺘﻤﻲ‬ ‫ﺍﻟﺘﻲ‬ ‫ﺍﻟﻮﻅﻴﻔﻴﺔ‬ ‫ﺍﻟﻤﺠﻤﻮﻋﺔ‬ ‫ﻫﻲ‬ ‫ﻣﺎ‬
E
‫ﺍﺳﻤﻪ‬ ‫ﺃﻋﻂ‬ ،
.
2
-
‫ﺣﻮﺟﻠﺔ‬ ‫ﻓﻲ‬ ‫ﻧﺴﻜﺐ‬
ͲǡͶͺ݉‫݈݋‬
‫ﻭ‬ ‫ﺍﻟﺤﻤﺾ‬ ‫ﻣﻦ‬
ͲǡͶͺ݉‫݈݋‬
‫ﻣﻦ‬
‫ﺍﻟﻜﺤﻮﻝ‬
ସଽ െ 
‫ﻧﻀﻴﻒ‬
‫ﻣﻦ‬ ‫ﻗﻄﺮﺍﺕ‬
، ‫ﻓﺘﺎﻟﻴﻦ‬ ‫ﺍﻟﻔﻴﻨﻮﻝ‬ ‫ﻣﻦ‬ ‫ﻗﻄﺮﺍﺕ‬ ‫ﻭ‬ ‫ﺍﻟﻤﺮﻛﺰ‬ ‫ﺍﻟﻜﺒﺮﻳﺖ‬ ‫ﺣﻤﺾ‬
‫ﻓﻨﺤﺼﻞ‬
‫ﺣﺠﻤﻪ‬ ‫ﻣﺰﻳﺞ‬ ‫ﻋﻠﻰ‬
V=400 mL
.
C2H5COOH
CH3COOH
HCOOH
‫ﺍﻟﻜﻴﻤﻴﺎﺋﻴﺔ‬ ‫ﺍﻟﺼﻴﻐﺔ‬
74
60
46
‫ﺍﻟﻤﻮﻟﻴﺔ‬ ‫ﺍﻟﻜﺘﻠﺔ‬
(g/mol)
‫ﺻﻔﺤﺔ‬
4
‫ﻣﻦ‬
10
e
n
c
y
-
e
d
u
c
a
t
i
o
n
.
c
o
m
/
e
x
a
m
s
‫ﻧﺤ‬
ܱܱ‫ܪ‬
‫ܪ‬
20 mL
mL
‫ﺍﻟﻤﻮﻟﻲ‬ ‫ﺗﺮﻛﻴﺰﻩ‬
‫ﺍﻟﻤ‬ ‫ﺗﺮﻛﻴﺰﻩ‬
‫ﻟﻴﻜﻦ‬
‫ﻦ‬
V
VE
E
‫ﺍﻟﻤ‬ ‫ﺣﺠﻢ‬ ‫ﻫﻮ‬
‫ﺣ‬ ‫ﻫﻮ‬
‫ﺍﻟﺒﻴﺎﻧﻲ‬ ‫ﺍﻟﻤﻨﺤﻨﻰ‬ ‫ﺳﻢ‬
‫ﺍﻟﺒﻴﺎﻧﻲ‬ ‫ﻤﻨﺤﻨﻰ‬
ቀ௏್
ቁ
ቁ
‫ﺍﻟﺤﻤﺾ‬ ‫ﺗﺸﺮﺩ‬ ‫ﻌﺎﺩﻟﺔ‬
‫ﺍﻟﺤﻤﺾ‬ ‫ﺗﺸﺮﺩ‬ ‫ﺔ‬
‫ܪ‬
‫ﺍﻟﺨﺎﺻﺔ‬ ‫ﺍﻟﺤﻤﻮﺿﺔ‬ ‫ﺑﺖ‬
‫ﺍﻟﺨﺎﺻ‬ ‫ﺤﻤﻮﺿﺔ‬
‫ﻣﻊ‬ ‫ﺍﻟﻜﺮﺑﻮﻛﺴﻴﻠﻲ‬ ‫ﻟﺤﻤﺾ‬
‫ﺍﻟﻜﺮﺑﻮﻛﺴﻴﻠﻲ‬ ‫ﺾ‬
‫ﺗﺎﻣﺎ‬ ‫ﺘﺒﺮﻩ‬
‫ﺗﺎﻣﺎ‬
.
.
‫ﺑﺪﻻﻟﺔ‬ ‫ﺍﻟﻜﺮﺑﻮﻛﺴﻴﻠﻲ‬ ‫ﺾ‬
‫ﺑ‬ ‫ﺍﻟﻜﺮﺑﻮﻛﺴﻴﻠﻲ‬
:
‫ﺍﻟﻜﻴﻤﻴﺎﺋﻴﺔ‬ ‫ﺔ‬
‫ﺎﺋﻴﺔ‬
e
e
d
e
(g/mol)
( /
e
e
y
-
e
y
y
c
a
t
i
o
c
a
t
i
o
3as.ency-education.com
‫ﻓﻲ‬ ‫ﻧﺴﻜﺐ‬ ‫ﺍﻟﺘﻔﺎﻋﻞ‬ ‫ﻫﺬﺍ‬ ‫ﺗﻄﻮﺭ‬ ‫ﻟﺘﺘﺒﻊ‬
10
‫ﺃﻧﺎﺑﻴﺐ‬
‫ﺣﺠﻮﻣ‬
‫ﺎ‬
‫ﻧﻐﻠﻘﻬﺎ‬ ‫ﻭ‬ ، ‫ﺍﻟﺘﻔﺎﻋﻠﻲ‬ ‫ﺍﻟﻤﺰﻳﺞ‬ ‫ﻣﻦ‬ ‫ﻣﺘﺴﺎﻭﻳﺔ‬
‫ﻣﺎﺋﻲ‬ ‫ﺣﻤﺎﻡ‬ ‫ﻓﻲ‬ ‫ﻧﻀﻌﻬﺎ‬ ‫ﻭ‬
‫ﺣﺮﺍﺭﺗﻪ‬ ‫ﺩﺭﺟﺔ‬
(70°C)
‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻋﻨﺪ‬ ‫ﺍﻟﻤﻴﻘﺎﺗﻴﺔ‬ ‫ﺗﺸﻐﻴﻞ‬ ‫ﻣﻊ‬
t=0
.
‫ﻧﺨﺮﺝ‬ ‫ﺍﻟﺰﻣﻦ‬ ‫ﺑﺪﻻﻟﺔ‬ ‫ﺍﻟﻤﺠﻤﻮﻋﺔ‬ ‫ﺗﻘﺪﻡ‬ ‫ﻟﺘﺤﺪﻳﺪ‬
‫ﺍﻷﻧﺎﺑﻴﺐ‬
‫ﺗﻠﻮ‬ ‫ﻭﺍﺣﺪﺍ‬ ‫ﺍﻟﺤﻤﺎﻡ‬ ‫ﻣﻦ‬
‫ﺍﻷﺧﺮ‬
‫ﻧﻀﻌ‬ ‫ﻭ‬
‫ﻪ‬
‫ﻧﻌﺎﻳﺮ‬ ‫ﺛﻢ‬، ‫ﺍﻟﻤﺜﻠﺞ‬ ‫ﺍﻟﻤﺎء‬ ‫ﻓﻲ‬
‫ﻛﻞ‬ ‫ﻓﻲ‬ ‫ﺍﻟﻤﺘﺒﻘﻲ‬ ‫ﺍﻟﺤﻤﺾ‬
‫ﺃﻧﺒﻮﺏ‬
‫ﻟﻬﻴﺪﺭﻭ‬ ‫ﻣﺎﺋﻲ‬ ‫ﻣﺤﻠﻮﻝ‬ ‫ﺑﻮﺍﺳﻄﺔ‬
‫ﻛ‬
‫ﺍﻟﺼﻮﺩﻳﻮﻡ‬ ‫ﺴﻴﺪ‬
( ( )
aq aq
Na OH
 

‫ﺍﻟﻤﻮﻟﻲ‬ ‫ﺗﺮﻛﻴﺰﻩ‬
‫ܥ‬௕ ൌ Ͳǡͳ ݉‫݈݋‬Ȁ‫ܮ‬
.
‫ﺍﻟﺸﻜﻞ‬ ‫ﻳﻮﺿﺢ‬ ‫ﻛﻤﺎ‬
-
4
-
.
-
‫ﻭ‬ ‫ﺍﻟﺘﺴﺨﻴﻦ‬ ‫ﻣﻦ‬ ‫ﺍﻟﻬﺪﻑ‬ ‫ﻫﻮ‬ ‫ﻣﺎ‬
‫ﺇ‬
‫؟‬ ‫ﺍﻟﻤﺮﻛﺰ‬ ‫ﺍﻟﻜﺒﺮﻳﺖ‬ ‫ﺣﻤﺾ‬ ‫ﺳﺘﻌﻤﺎﻝ‬
3
-
‫ﺇ‬
‫ﺗﻐﻴﺮﺍﺕ‬ ‫ﺑﻴﺎﻥ‬ ‫ﺭﺳﻢ‬ ‫ﻣﻦ‬ ‫ﺗﻤﻜﻨﺎ‬ ‫ﺍﻟﻤﻌﺎﻳﺮﺓ‬ ‫ﻟﻬﺬﻩ‬ ‫ﺍﻟﺘﺠﺮﻳﺒﻴﺔ‬ ‫ﺍﻟﺪﺭﺍﺳﺔ‬ ‫ﻋﻠﻰ‬ ‫ﻋﺘﻤﺎﺩﺍ‬
‫ﺍﻟﺘﻘﺪﻡ‬
‫ݔ‬
‫ﺍﻟﻜﺤﻮﻝ‬ ‫ﻣﻊ‬ ‫ﺍﻟﺤﻤﺾ‬ ‫ﻟﺘﻔﺎﻋﻞ‬
‫ﺍﻟﺰﻣﻦ‬ ‫ﺑﺪﻻﻟﺔ‬
‫ݔ‬ ൌ ݂ሺ‫ݐ‬ሻ
‫ﺍﻟﺸﻜﻞ‬
-
5
-
‫ﺇ‬
‫ﺍﻟﺒﻴﺎﻥ‬ ‫ﻋﻠﻰ‬ ‫ﻋﺘﻤﺎﺩﺍ‬
:
-
‫ﺃ‬
‫ﺣﺴﺐ‬
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:
20 min
=
t2= 60 min , t1
‫؟‬ ‫ﺗﺴﺘﻨﺘﺞ‬ ‫ﻣﺎﺫﺍ‬
-
‫ﺍﻟﺘﻔﺎﻋﻞ‬ ‫ﻧﺼﻒ‬ ‫ﺯﻣﻦ‬
‫ݐ‬ଵ
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ܳ୰୤
.
-
‫ﺍﻟﻨﻬﺎﺋﻲ‬ ‫ﺍﻟﺘﻘﺪﻡ‬ ‫ﻧﺴﺒﺔ‬
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‫ﺍﻟﺘﻔﺎﻋﻞ‬ ‫ﻫﺬﺍ‬ ‫ﻣﺮﺩﻭﺩ‬ ‫ﺍﺣﺴﺐ‬
‫ﺍﻟﻤﺴﺘﻌﻤﻞ‬ ‫ﺍﻟﻜﺤﻮﻝ‬ ‫ﺻﻨﻒ‬ ‫ﺇﺳﺘﻨﺎﺝ‬ ‫ﻭ‬
-
‫ﺍﻟﻤﺮﺩﻭﺩ‬ ‫ﻫﺬﺍ‬ ‫ﻟﺘﺤﺴﻴﻦ‬ ‫ﻁﺮﻳﻘﺘﻴﻦ‬ ‫ﺍﺫﻛﺮ‬
‫ﺇ‬
‫ﺍﻷﻭﻝ‬ ‫ﺍﻟﻤﻮﺿﻮﻉ‬ ‫ﻧﺘﻬﻰ‬
1 2 9 10
‫ﻣﺎﺋﻲ‬ ‫ﺣﻤﺎﻡ‬
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‫ﻛﺘﻠﺘﻬﺎ‬ ‫ﺗﻨﺲ‬ ‫ﻛﺮﺓ‬
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.
2
-
‫ﺍﻟﺰﻣﻨﻴﺔ‬ ‫ﺍﻟﻤﻌﺎﺩﻟﺔ‬ ‫ﺟﺪ‬
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‫ﺍﻟﻜﺮﺓ‬ ‫ﻟﺤﺮﻛﺔ‬
.
3
-
‫ﺇ‬
‫ﺍﻟﺒﻴﺎﻥ‬ ‫ﻋﻠﻰ‬ ‫ﻋﺘﻤﺎﺩﺍ‬
‫ﺃ‬
‫ﺍﻷﺭﺿﻲ‬ ‫ﺍﻟﺘﺴﺎﺭﻉ‬ ‫ﻗﻴﻤﺔ‬ ‫ﺣﺴﺐ‬

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Studyadz 3as-physique-c3-52-69

  • 1. T‫ﺍﺰﺍﺋﺮﺔ‬T‫ﻮﺭﺔ‬U‫ﺍﻤ‬ ‫ﺍﻃﻴﺔ‬‫ﺮ‬‫ﺍﻟﺪﻳﻤﻘ‬ T ‫ﺍﻟﺸﻌﺒﻴﺔ‬ T‫ﻟﻮﻻﻳﺔ‬T‫ﺍﻟﺑﻴﺔ‬T‫ﻣﺪﻳﺮﺔ‬ ‫ﺍ‬ ‫ﻏﺮﺏ‬T‫ﺮ‬‫ﺰﺍﺋ‬ T‫ﺛﺎﻧﻮﺔ‬ T‫ﺘﻮ'ﻲ‬‫ﺯ‬T‫ﻣﺤﻤﺪ‬ - ‫ﺍﻟﺪﻭﺮﺓ‬ - ‫ﺍﺰﺍﺋﺮ‬ T‫ﺑ`ﺎﻟﻮﺭﺎ‬T‫ﺍﻣﺘﺤﺎﻥ‬ T23‫ﺍﻟﺘﺠﺮ‬ ‫ﻣﺎﻱ‬T‫ﺓ‬‫ﺭ‬‫ﺩﻭ‬ 2019 ‫ﺍﻟﺸﻌﺒ‬ ‫ﺔ‬ : å ‫ﻴﺔ‬Â‫ﺍﻟﺘﺠﺮ‬å‫ﺍﻟﻌﻠﻮﻡ‬ ‫ﺍﳌﺎﺩﺓ‬ : ‫ﺍﻟ‬ T‫ﻌﻠﻮﻡ‬ ‫ﺍﻟ‬ ‫ﻳﺎﺋﻴﺔ‬KL‫ﻔ‬ ‫ﺍﳌﺪﺓ‬ : 3 ‫ﺳﺎﻋ‬ ‫ﺎﺕ‬ ‫ﺍﻟﺗﺎﻟﻳﻳﻥ‬ ‫ﺍﻟﻣﻭﺿﻭﻋﻳﻥ‬ ‫ﺃﺣﺩ‬ ‫ﻳﺧﺗﺎﺭ‬ ‫ﺃﻥ‬ ‫ﺍﻟﻣﺗﺭﺷﺢ‬ ‫ﻋﻠﻰ‬ : ‫ﺍﻷﻭﻝ‬ ‫ﺍﻟﻣﻭﺿﻭﻉ‬ ‫ﻋﻠﻰ‬ ‫ﺍﻷﻭﻝ‬ ‫ﺍﻟﻣﻭﺿﻭﻉ‬ ‫ﻳﺣﺗﻭﻱ‬ 5 ‫ﺻﻔﺣﺎﺕ‬ ) ‫ﺍﻟﺻﻔﺣﺔ‬ ‫ﻣﻥ‬ 1 ‫ﻣﻥ‬ 10 ‫ﺍﻟﺻﻔﺣﺔ‬ ‫ﺇﻟﻰ‬ 5 ‫ﻣﻥ‬ 10 ( ‫ﺍﻷﻭﻝ‬ ‫ﺍﻟﺟﺯء‬ ) : 13 ‫ﻧﻘﻁﺔ‬ ( ‫ﺍﻷﻭﻝ‬ ‫ﺍﻟﺗﻣﺭﻳﻥ‬ ) : 06 ‫ﻧﻘﺎﻁ‬ :( ‫ﻓﻲ‬ ‫ﺃﻭﻝ‬ ‫ﻧﻭﻓﻣﺑﺭ‬ 1952 ‫ﺃﺟﺭﺕ‬ ‫ﺍﻟﻣﺗﺣﺩﺓ‬ ‫ﺍﻟﻭﻻﻳﺎﺕ‬ ‫ﺍﻷﻣﺭﻳﻛﻳﺔ‬ ‫ﺑﺗﻔﺟﻳﺭﻫﺎ‬ ‫ﻧﻭﻭﻳﺔ‬ ‫ﺗﺟﺭﺑﺔ‬ ‫ﻟﻠﻘﻧﺑﻠﺔ‬ ‫ﺑﺟﺯﺭ‬ ‫ﺍﻟﻬﻳﺩﺭﻭﺟﻳﻧﻳﺔ‬ ‫ﺍﻟﻬﺎﺩﻱ‬ ‫ﺍﻟﻣﺣﻳﻁ‬ ‫ﻓﻲ‬ ‫ﻣﺎﺭﺷﺎﻝ‬ . ‫ﺗﻌﺎﺩﻝ‬ ‫ﻗﻭﺗﻬﺎ‬ ‫ﻛﺎﻧﺕ‬ ‫ﺃﻛﺛﺭ‬ ‫ﻣﻥ‬ 100 ‫ﺍﻟﺗﻲ‬ ‫ﺍﻟﺫﺭﻳﺔ‬ ‫ﺍﻟﻘﻧﺑﻠﺔ‬ ‫ﻗﻭﺓ‬ ‫ﺿﻌﻑ‬ ‫ﺃﻟﻘﺗﻬﺎ‬ ‫ﻣﺩﻳﻧﺔ‬ ‫ﻋﻠﻰ‬ ‫ﻓﻲ‬ ‫ﻫﻳﺭﻭﺷﻳﻣﺎ‬ 6 ‫ﺃﻭﺕ‬ 1945 . ‫ﻛﺗﻠﺔ‬ ‫ﻋﻥ‬ ‫ﺍﻟﻣﺣﺭﺭﺓ‬ ‫ﺍﻟﻁﺎﻗﺔ‬ ‫ﺍﻟﻬﻳﺩﺭﻭﺟﻳﻧﻳﺔ‬ ‫ﺍﻟﻘﻧﺑﻠﺔ‬ ‫ﺗﺣﺭﺭﻫﺎ‬ ‫ﺍﻟﺗﻲ‬ ‫ﺍﻟﻁﺎﻗﺔ‬ ‫ﺗﻛﺎﻓﺊ‬ m=10,4 ×109 kg ‫ﻣﺎﺩﺓ‬ ‫ﻣﻥ‬ TNT . ‫ﺇﻥ‬ ‫ﻋﻥ‬ ‫ﻧﺎﺗﺟﺔ‬ ‫ﺍﻟﻬﻳﺩﺭﻭﺟﻳﻧﻳﺔ‬ ‫ﺍﻟﻘﻧﺑﻠﺔ‬ ‫ﺗﺣﺭﺭﻫﺎ‬ ‫ﺍﻟﺗﻲ‬ ‫ﺍﻟﻁﺎﻗﺔ‬ ‫ﺍﻧﺩﻣﺎﺝ‬ ‫ﺍ‬ ‫ﻷ‬ ‫ﻭ‬ ، ‫ﺍﻟﺧﻔﻳﻔﺔ‬ ‫ﻧﻭﻳﺔ‬ ‫ﺗﺗﺄﻟﻑ‬ ‫ﺟﺯﺃﻳﻥ‬ ‫ﻣﻥ‬ ‫ﺍﻟﻘﻧﺑﻠﺔ‬ : - ‫ﻋﻠﻭﻱ‬ ‫ﺟﺯء‬ ، ‫ﺗﺳﻠﺳﻠﻲ‬ ‫ﺍﻧﺷﻁﺎﺭ‬ ‫ﻋﻥ‬ ‫ﻧﺎﺗﺟﺔ‬ ‫ﻗﻧﺑﻠﺔ‬ ‫ﻳﺷﻣﻝ‬ . - ‫ﺟﺯء‬ ‫ﺳﻔﻠﻲ‬ ، ‫ﻟ‬ ‫ﻣﺯﻳﺞ‬ ‫ﻳﺷﻣﻝ‬ ‫ﻸ‬ ‫ﻟ‬ ‫ﺍﻟﻘﺎﺑﻠﺔ‬ ‫ﻧﻭﻳﺔ‬ ‫ﻺ‬ ‫ﻧﺩﻣﺎﺝ‬ . ‫ﺷﻛﻝ‬ ‫ﻋﻠﻰ‬ ‫ﺍﻟﻌﻠﻭﻱ‬ ‫ﺍﻟﺟﺯء‬ ‫ﻣﻥ‬ ‫ﺍﻟﻣﺗﺣﺭﺭﺓ‬ ‫ﺍﻟﻁﺎﻗﺔ‬ ‫ﺇﻥ‬ ‫ﺇﺷﻌﺎﻋﺎﺕ‬ ‫ﺍ‬ ‫ﻣﺯﻳﺞ‬ ‫ﺿﻐﻁ‬ ‫ﻋﻠﻰ‬ ‫ﺗﺟﻌﻝ‬ ‫ﻷ‬ ‫ﺍﻟﺟﺯء‬ ‫ﻓﻲ‬ ‫ﺍﻟﻭﺍﻗﻌﺔ‬ ‫ﻧﻭﻳﺔ‬ ‫ﺍﻟﺳﻔﻠﻲ‬ ‫ﺍ‬ ‫ﻟﺣﺩﻭﺙ‬ ‫ﻳﺅﺩﻱ‬ ‫ﻣﻣﺎ‬ ‫ﺍﻟﻣﺯﻳﺞ‬ ‫ﻛﺛﺎﻓﺔ‬ ‫ﻓﺗﺯﺩﺍﺩ‬ ، ‫ﻹ‬ ‫ﺟﺩﺍ‬ ‫ﻛﺑﻳﺭﺓ‬ ‫ﻁﺎﻗﺔ‬ ‫ﺗﺣﺭﻳﺭ‬ ‫ﻭ‬ ‫ﻧﺩﻣﺎﺝ‬ . ‫ﺇﻥ‬ ‫ﺍ‬ ‫ﻷ‬ ‫ﺍ‬ ‫ﻋﻥ‬ ‫ﺍﻟﻧﺎﺗﺟﺔ‬ ‫ﻧﻭﻳﺔ‬ ‫ﻹ‬ ‫ﻫﻲ‬ ‫ﺍﻟﻌﻠﻭﻱ‬ ‫ﺍﻟﺟﺯء‬ ‫ﻓﻲ‬ ‫ﻧﺷﻁﺎﺭ‬ ‫ﺃ‬ ‫ﺫﺍﺕ‬ ‫ﻣﺷﻌﺔ‬ ‫ﻧﻭﻳﺔ‬ ‫ﺃﻧﺻﺎﻑ‬ ‫ﺃﻋﻣﺎﺭ‬ ‫ﻭ‬ ‫ﺍﻟﺟﻭ‬ ‫ﻓﻲ‬ ‫ﺗﻧﺗﺷﺭ‬ ‫ﻣﺧﺗﻠﻔﺔ‬ ‫ﺍﻟﺑﻳﺋﺔ‬ ‫ﺗﻠﻭﺙ‬ . - ‫ﺍ‬ ‫ﻧﻌﺗﺑﺭ‬ ‫ﻹ‬ ‫ﺍﻟﻳﻭﺭﺍﻧﻳﻭﻡ‬ ‫ﻫﻭ‬ ‫ﺍﻟﻌﻠﻭﻱ‬ ‫ﺍﻟﺟﺯء‬ ‫ﻓﻲ‬ ‫ﻧﺷﻁﺎﺭ‬ 235 : U + n o Ba + Kr +2 n +ɀ - ‫ﺃﻣﺎ‬ ‫ﺍ‬ ‫ﻹ‬ ‫ﻧﺪﻣﺎﺝ‬ ‫ﺍﻟﺟﺯء‬ ‫ﻓﻲ‬ ‫ﻫﻮ‬ ‫ﺍﻟﺴﻔﻠﻲ‬ : H + H o He + n + ɀ ‫ﻛﺘﻠﺔ‬ ‫ﻋﻠﻰ‬ ‫ﺍﻟﺴﻔﻠﻲ‬ ‫ﺍﻟﺠﺰء‬ ‫ﻳﺤﺘﻮﻱ‬ m1 51,4kg ‫ﻣﻦ‬ H ‫ﻛﺘﻠﺔ‬ ‫ﻭ‬ m2 77,1kg ‫ﻣﻦ‬ H . ‫ﻳﻌﻄﻰ‬ : ‫ﺍﻟﻨﻮﺍﺓ‬ ‫ﺃﻭ‬ ‫ﺍﻟﺠﺴﻴﻢ‬ ‫ﺍﻟﻴﻮﺭﺍﻧﻴﻮﻡ‬ 235 ‫ﺍﻟﻬﻴﻠﻴﻮﻡ‬ 4 ‫ﺍﻟﻬﻴﺪﺭﻭﺟﻴﻦ‬ 3 ‫ﺍﻟﻬﻴﺪﺭﻭﺟﻴﻦ‬ 2 ‫ﺍﻟﻬﻴﺪﺭﻭﺟﻴﻦ‬ 1 ‫ﺍﻟﻨﻮﺗﺮﻭﻥ‬ ‫ﺍﻟﺮﻣﺰ‬ U He H H H n u
  • 2. ‫ﺑـ‬ ‫ﺍﻟﻜﺘﻠﺔ‬ 234,993461 4,001506 3,015500 2,013553 1,007276 1,008665 La bombe H 1952 ͳ‫݁݊݊݋ݐ‬ ൌ ͳͲͲͲ‫݃ܭ‬ǡ ܰ஺ ൌ ͸ǡͲʹ ൈͳͲଶଷ ǡͳ‫ܸ݁ܯ‬ ൌ ͳǡ͸ ൈ ͳͲିଵଷ ‫ܬ‬ǡͳ‫ݑ‬ ൌ ͻ͵ͳǡͷ ‫ܸ݁ܯ‬ ‫ܥ‬ଶ ‫ﺻﻔﺤﺔ‬ 1 ‫ﻣﻦ‬ 10 e n c y - e d H . ‫ﻦ‬ 1 ‫ﺍﻟﻨﻮﺗﺮﻭﻥ‬ ‫ﺍﻟﻨﻮﺗﺮﻭﻥ‬ n c y c y c y c y n n c c c e 1 1, ,0086 0 e e e e e e d e d u c a t i o n . c o m / e x a m s ‫ﺍﻟﻣﻭ‬ ‫ﻳﺣﺗﻭﻱ‬ ‫ﻳﺣﺗﻭﻱ‬ ‫ﺍﻷﻭﻝ‬ ‫ﺍﻟﺟﺯء‬ ) :‫ﺍﻷﻭﻝ‬ ‫ﻟﺟﺯء‬ ‫ﺍﻷﻭﻝ‬ ‫ﻟﺗﻣﺭﻳﻥ‬ ‫ﺍﻷﻭﻝ‬ ‫ﻳﻥ‬ ) : 06 ‫ﻧﻘﺎﻁ‬ ) : 6 ‫ﻝ‬ ‫ﻧﻭﻓﻣﺑﺭ‬ ‫ﺑﺭ‬ 1952 1952 ‫ﺃﺟﺭﺕ‬ ‫ﺭﺕ‬ ‫ﺍﻟﻬﺎﺩﻱ‬ ‫ﺍﻟﻣﺣﻳﻁ‬ ‫ﺍﻟﻬﺎﺩﻱ‬ ‫ﻁ‬ . . ‫ﻛﺎﻧﺕ‬ ‫ﺃﻭﺕ‬ 1945 . 194 . ‫ﺍﻟﻬﻳﺩﺭﻭﺟﻳﻧﻳﺔ‬ ‫ﺍﻟﻘﻧﺑﻠﺔ‬ ‫ﺭﻫﺎ‬ ‫ﺍﻟﻬﻳﺩﺭﻭﺟ‬ ‫ﻘﻧﺑﻠﺔ‬ ‫ﻋﻥ‬ ‫ﻧﺎﺗﺟﺔ‬ ‫ﺍﻟﻬﻳﺩﺭﻭﺟﻳﻧﻳﺔ‬ ‫ﺔ‬ ‫ﻧﺎﺗﺟ‬ ‫ﺭﻭﺟﻳﻧﻳﺔ‬ ‫ﺗﺳﻠﺳﻠﻲ‬ ‫ﺍﻧﺷﻁﺎﺭ‬ ‫ﻋﻥ‬ ‫ﺗﺟﺔ‬ ‫ﺍﻧﺷﻁ‬ ‫ﻋﻥ‬ ‫ﻟ‬ ‫ﺍﻟﻘﺎﺑﻠﺔ‬ ‫ﻳﺔ‬ ‫ﺑﻠﺔ‬ ‫ﻺ‬ ‫ﻺ‬‫ﻟ‬ ‫ﻧﺩﻣﺎﺝ‬ ‫ﻧﺩﻣﺎﺝ‬ . ‫ﻛﻝ‬ ‫ﺇﺷﻌﺎﻋﺎﺕ‬ ‫ﺷﻌﺎﻋﺎﺕ‬ ‫ﻋﻠﻰ‬ ‫ﺗﺟﻌﻝ‬ ‫ﻋﻠ‬ ‫ﺗﺟﻌﻝ‬ ‫ﻛ‬ ‫ﻁﺎﻗﺔ‬ ‫ﺗﺣﺭﻳﺭ‬ ‫ﻭ‬ ‫ﻧﺩﻣﺎﺝ‬ ‫ﻁﺎﻗﺔ‬ ‫ﺗﺣﺭﻳﺭ‬ ‫ﻭ‬ ‫ﺝ‬ ‫ﺫﺍﺕ‬ ‫ﻣﺷﻌﺔ‬ ‫ﻧﻭﻳﺔ‬ ‫ﺫﺍﺕ‬ ‫ﻣﺷﻌﺔ‬ ‫ﺃﻧﺻﺎﻑ‬ ‫ﺃﻧﺻ‬ d u c a u c a c a 3as.ency-education.com
  • 3. I – 1 - ‫ﻟﻠﻨﻮﺍﺓ‬ ‫ﺍﻟﺮﺑﻂ‬ ‫ﻁﺎﻗﺔ‬ ‫ﻋﺮﻑ‬ . 2 - ‫ﺃ‬ ‫ﺍﻟﻴﻮﺭﺍﻧﻴﻮﻡ‬ ‫ﻟﻨﻮﺍﺓ‬ ‫ﺍﻟﺮﺑﻂ‬ ‫ﻁﺎﻗﺔ‬ ‫ﺣﺴﺐ‬ 235 ‫ﻟﻬ‬ ‫ﻧﻮﻳﺔ‬ ‫ﻟﻜﻞ‬ ‫ﺍﻟﺮﺑﻂ‬ ‫ﻁﺎﻗﺔ‬ ‫ﻭ‬ ، ‫ﺍﻟﻨﻮﺍﺓ‬ ‫ﺬﻩ‬ . 3 - ‫ﻣﻨﺤﻨﻰ‬ ‫ﻋﻠﻰ‬ ‫ﺍﻟﻨﻮﺍﺓ‬ ‫ﻫﺬﻩ‬ ‫ﺿﻊ‬ ‫ﺃﺳﺘﻮﻥ‬ ‫ﺍﻟﻨﻮﺍﺗﻴﻦ‬ ‫ﻣﻊ‬ ‫ﺍﺳﺘﻘﺮﺍﺭﻫﺎ‬ ‫ﻗﺎﺭﻥ‬ ‫ﺛﻢ‬ ، ‫ﺍﻟﻤﺮﻓﻖ‬ 142 Ba ‫ﻭ‬ 92 Kr . 4 - ‫ﺃ‬ ‫ﻛﺘﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺍﻟﻤﺤﺮﺭﺓ‬ ‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﺣﺴﺐ‬ m 55kg ‫ﺍﻟﻴﻮﺭﺍﻧﻴﻮﻡ‬ ‫ﻣﻦ‬ 235 . II – 1 - ‫ﻧﺤﺘﺎﺝ‬ ‫ﻟﻤﺎﺫﺍ‬ ‫ﺇﻟﻰ‬ ‫ﺍ‬ ‫ﺍﻧﺪﻣﺎﺝ‬ ‫ﻟﺘﺤﻘﻴﻖ‬ ‫ﺟﺪﺍ‬ ‫ﻛﺒﻴﺮﺓ‬ ‫ﻁﺎﻗﺔ‬ ‫ﻷ‬ ‫؟‬ ‫ﻧﻮﻳﺔ‬ . 2 - ‫ﺃ‬ ‫ﻋﺪﺩ‬ ‫ﺣﺴﺐ‬ ‫ﺃ‬ ‫ﻧﻮﻳﺔ‬ 2 H ‫ﻭ‬ 3 H ‫ﺍﻟﻬﻴﺪﺭﻭﺟﻴﻨﻴﺔ‬ ‫ﺍﻟﻘﻨﺒﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺍﻟﺴﻔﻠﻲ‬ ‫ﺍﻟﺠﺰء‬ ‫ﻓﻲ‬ . 3 - ‫ﺃ‬ ‫ﺍﻟﻬﻴﺪﺭﻭﺟﻴﻨﻴﺔ‬ ‫ﺍﻟﻘﻨﺒﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺍﻟﺴﻔﻠﻲ‬ ‫ﺍﻟﺠﺰء‬ ‫ﻓﻲ‬ ‫ﺍﻟﻤﺤﺮﺭﺓ‬ ‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﺣﺴﺐ‬ . ‫ﻋﻠﻰ‬ ‫ﺃﻱ‬ ‫؟‬ ‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻫﺬﻩ‬ ‫ﺗﻈﻬﺮ‬ ‫ﺷﻜﻞ‬ . 4 - ‫ﻋﻠﻤﺎ‬ ‫ﺃﻥ‬ 1 ‫ﻣﺎﺩﺓ‬ ‫ﻣﻦ‬ ‫ﻁﻦ‬ TNT ‫ﻗﺪﺭﻫﺎ‬ ‫ﻁﺎﻗﺔ‬ ‫ﻳﺤﺮﺭ‬ E 4,18u109 J . ‫ﺗﺄﻛﺪ‬ ‫ﺍﻟﺴﺆﺍﻝ‬ ‫ﻓﻲ‬ ‫ﺍﻟﻤﺤﺮﺭﺓ‬ ‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻗﻴﻤﺔ‬ ‫ﻣﻦ‬ II – 3 . III – ‫ﺍﻟﺒﺎﺭﻳﻮﻡ‬ 142 ‫ﺍ‬ ‫ﻋﻦ‬ ‫ﺍﻟﻨﺎﺗﺞ‬ ‫ﻹ‬ ‫ﺑﺎﻟﻨﻤﻂ‬ ‫ﻣﺸﻊ‬ ‫ﺍﻟﻬﻴﺪﺭﻭﺟﻴﻨﻴﺔ‬ ‫ﻟﻠﻘﻨﺒﻠﺔ‬ ‫ﺍﻟﻌﻠﻮﻱ‬ ‫ﺍﻟﺠﺰء‬ ‫ﻓﻲ‬ ‫ﻧﺸﻄﺎﺭ‬ Ⱦି ‫ﻧﺼﻒ‬ ‫ﺯﻣﻦ‬ ‫ﻭ‬ ، ‫ﻋﻤﺮﻩ‬ ‫ݐ‬ଵ ଶ ൗ . ‫ﺍﻟﺒﺎﺭﻳﻮﻡ‬ ‫ﻣﻦ‬ ‫ﻋﻴﻨﺔ‬ ‫ﻧﻌﺘﺒﺮ‬ 142 ‫ﻛﺘﻠﺘﻬﺎ‬ m0 350 mg ‫ﻓﻲ‬ ‫ﺍﻟﻠﺤﻈﺔ‬ t=0 . ‫ﺍﻟﺸﻜﻞ‬ ‫ﻳﻤﺜﻞ‬ - 1 - ‫ﺍﻟﻤﻨﺤﻨﻰ‬ ‫ﺍﻟ‬ ‫ﺒﻴﺎﻧ‬ ‫ﻲ‬ : ௠బ ௠ ൌ ݂ሺ‫ݐ‬ሻ ) m ‫ﺍﻟﺒﺎﺭﻳﻮﻡ‬ ‫ﻛﺘﻠﺔ‬ ‫ﻫﻲ‬ 142 ‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻓﻲ‬ t ( 1 - ‫ﺇ‬ ‫ﺍﻟﺒﺎﺭﻳﻮﻡ‬ ‫ﻋﻤﺮ‬ ‫ﻧﺼﻒ‬ ‫ﺯﻣﻦ‬ ‫ﺍﺳﺘﻨﺘﺞ‬ ‫ﺍﻟﺒﻴﺎﻥ‬ ‫ﻋﻠﻰ‬ ‫ﻋﺘﻤﺎﺩﺍ‬ 142 . 2 - ‫ﺃ‬ ‫ﺍﻻﺑﺘﺪﺍﺋﻲ‬ ‫ﺍﻟﻨﺸﺎﻁ‬ ‫ﺣﺴﺐ‬ A0 ‫ﺍﻟﺒﺎﺭﻳﻮﻡ‬ ‫ﻟﻌﻴﻨﺔ‬ 142 . 3 - ‫ﺑﻴﻦ‬ ‫ﺃﻥ‬ ‫ﺍﻟﺒﺎﺭﻳﻮﻡ‬ ‫ﺗﻔﻜﻚ‬ ‫ﻋﻦ‬ ‫ﺍﻟﻨﺎﺗﺠﺔ‬ ‫ﺍﻟﻨﻮﺍﺓ‬ 142 ‫ﻫﻲ‬ 57La . 4 - ‫ﻣﻦ‬ ‫ﺃﻭﺟﺪ‬ ‫ﻟ‬ ‫ﺍﻟﻤﺆﻭﻳﺔ‬ ‫ﺍﻟﻨﺴﺒﺔ‬ ‫ﺍﻟﺒﻴﺎﻥ‬ ‫ﻸ‬ ‫ﻧﻮﻳﺔ‬ ‫ﺍﻟﻤﺘﻔﻜﻜﺔ‬ ‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻋﻨﺪ‬ ‫ݐ‬ ൌ ʹ‫ݐ‬ଵ ଶ ൗ . 5 - ‫ﺑﻴﻦ‬ ‫ﺃ‬ ‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻓﻲ‬ ‫ﻧﻪ‬ t' ‫ﻛﺘﻠﺔ‬ ‫ﺗﻜﻮﻥ‬ 57La : ݉௧ᇲሺ‫ܽܮ‬ሻ ൌ ݉଴ሺ‫ܽܤ‬ሻ െ ݉௧ᇲሺ‫ܽܤ‬ሻ . 6 - ‫ﺃﻭﺟﺪ‬ ‫ﺍﻟﺒﻴﺎﻥ‬ ‫ﻣﻦ‬ ݉௧ᇲሺ‫ܽܮ‬ሻ ‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻋﻨﺪ‬ t' 15 mn ‫ﺍﻟﺛﺎﻧﻲ‬ ‫ﺍﻟﺗﻣﺭﻳﻥ‬ : ) 07 ‫ﻧﻘﺎﻁ‬ ( ‫ﻣﺮﻭﻧﺘﻪ‬ ‫ﺛﺎﺑﺖ‬ ‫ﻭ‬ ‫ﻣﺘﻼﺻﻘﺔ‬ ‫ﻏﻴﺮ‬ ‫ﺣﻠﻘﺎﺗﻪ‬ ‫ﻧﺎﺑﻀﺎ‬ ‫ﻧﻌﺘﺒﺮ‬ 1 20 .m k N ‫ﻁﺮﻓﻪ‬ ‫ﺑﻴﻨﻤﺎ‬ ‫ﺛﺎﺑﺖ‬ ‫ﺑﺤﺎﻣﻞ‬ ‫ﻁﺮﻓﻴﻪ‬ ‫ﺃﺣﺪ‬ ‫ﻧﺜﺒﺖ‬ ، ‫ﺑﺠﺴﻢ‬ ‫ﺍﻵﺧﺮ‬ (S) ‫ﻛﺘﻠﺘﻪ‬ 50 m g . ‫ﺍﻟﻨﻘﻄﺔ‬ ‫ﻣﻊ‬ ‫ﺍﻟﺠﺴﻢ‬ ‫ﻋﻄﺎﻟﺔ‬ ‫ﻣﺮﻛﺰ‬ ‫ﻳﻨﻄﺒﻖ‬ ‫ﺍﻟﺘﻮﺍﺯﻥ‬ ‫ﻋﻨﺪ‬ O ‫ﺍﻟﻤﻌﻠﻢ‬ ‫ﻣﺒﺪﺃ‬ ሺܱǡ ଓ Ԧሻ . I ‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻋﻨﺪ‬ ‫ـ‬ 0 t ‫ﺍﻟﺠﺴﻢ‬ ‫ﻧﺰﻳﺢ‬ ، (S) ‫ﺑﻤﺴﺎﻓﺔ‬ ‫ﺍﻟﻤﻮﺟﺐ‬ ‫ﺍﻟﻤﻨﺤﻨﻰ‬ ‫ﻓﻲ‬ ‫ﺗﻮﺍﺯﻧﻪ‬ ‫ﻭﺿﻊ‬ ‫ﻋﻦ‬ 0 5 X cm ‫ﻧﺤﺮﺭﻩ‬ ‫ﺛﻢ‬ ‫ﺍﺑﺘﺪﺍﺋﻴﺔ‬ ‫ﺳﺮﻋﺔ‬ ‫ﺑﺪﻭﻥ‬ . ‫ﺍﻟﺸﻜﻞ‬ - 2 - 1 ‫ﺍ‬ ‫ﻧﻬﻤﻞ‬ ‫ـ‬ ‫ﻹ‬ ‫ﻛﻴﻔﻴﺔ‬ ‫ﻟﺤﻈﺔ‬ ‫ﻓﻲ‬ ‫ﺍﻟﺠﺴﻢ‬ ‫ﻋﻠﻰ‬ ‫ﺍﻟﻤﺆﺛﺮﺓ‬ ‫ﺍﻟﻘﻮﻯ‬ ‫ﻣﺜﻞ‬ ،‫ﺍﻷﻓﻘﻲ‬ ‫ﺍﻟﺴﻄﺢ‬ ‫ﻭ‬ ‫ﺍﻟﺠﺴﻢ‬ ‫ﺑﻴﻦ‬ ‫ﺣﺘﻜﺎﻛﺎﺕ‬ t . ݉଴ ݉ t(mn) 1 5 ‫ﺍﻟﺸﻜﻞ‬ - 1 - ‫ﺻﻔﺤﺔ‬ 2 ‫ﻣﻦ‬ 10 ‫ﻁﺮﻓﻪ‬ ‫ﺑﻴﻨﻤﺎ‬ ‫ﺛﺎﺑﺖ‬ ‫ﻞ‬ ‫ﻁﺮﻓﻪ‬ ‫ﺑﻴﻨﻤﺎ‬ ‫ﺖ‬ ‫ﻌﻠﻢ‬ ሺ ሺܱ ܱǡ ଓ Ԧ Ԧሻ Ԧ . ‫ﻧﺤﺮﺭﻩ‬ ‫ﺭﻩ‬ e d u c a t i o n . c o m / e x a m s II II – – 1 - ‫ﻟﻤ‬ 2 - ‫ﺃ‬ ‫ﻋ‬ ‫ﺣﺴﺐ‬ 2 - ‫ﺃ‬ ‫ﺣ‬ 3 - ‫ﺃ‬ 3 - ‫ﺃ‬ ‫ﺍﻟ‬ ‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﺣﺴﺐ‬ ‫ﺍﻟﻄ‬ ‫ﺣﺴﺐ‬ ‫ﺃﻥ‬ 1 ‫ﻣﺎﺩﺓ‬ ‫ﻣﻦ‬ ‫ﻁﻦ‬ ‫ﻣﺎﺩﺓ‬ ‫ﻣﻦ‬ ‫ﻁﻦ‬ NT NT ‫ﺍ‬ ‫ﻋﻦ‬ ‫ﺍﻟﻨﺎﺗﺞ‬ ‫ﺍ‬ ‫ﻋﻦ‬ ‫ﺗﺞ‬ ‫ﻹ‬ ‫ﻹ‬ ‫ﻓﻲ‬ ‫ﻧﺸﻄﺎﺭ‬ ‫ﻧﺸﻄﺎ‬ ‫ﺍﻟﺒﺎﺭﻳﻮﻡ‬ ‫ﻣﻦ‬ ‫ﻨﺔ‬ ‫ﺍﻟﺒﺎﺭﻳﻮﻡ‬ 142 42 ‫ﻛﺘ‬ ‫ﻲ‬ : ௠ ௠బ బ ௠ ௠ c ൌ ݂ ݂ሺ ሺ‫ݐ‬ ‫ݐ‬ሻ ሻ ) m ‫ﺍﻟﺒﺎﺭﻳﻮﻡ‬ ‫ﻋﻤﺮ‬ ‫ﻒ‬ ‫ﺍﻟﺒﺎﺭﻳﻮﻡ‬ ‫ﺮ‬ 142 . 2 142 . 57La 7 . . e d u c a t e d u c a t d d d d d d d d d d d d d u d u d u d u d u d u d u u u c u c u c u c d u d u d u d u d u d u d u d u d u c u c u c u c u c u c u c c c c c c c c c c d d d d u u u y - e y - e ‫ﺍﻟﺸﻜﻞ‬ 1 3as.ency-education.com
  • 4. 2 ‫ﺍﻟﻨﻘﻄﺔ‬ ‫ﻣﻦ‬ ‫ﺍﻟﻤﺎﺭ‬ ‫ﺍﻟﺜﻘﺎﻟﻴﺔ‬ ‫ﺍﻟﻜﺎﻣﻨﺔ‬ ‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻟﺪﺭﺍﺳﺔ‬ ‫ﺍﻟﻤﺮﺟﻌﻲ‬ ‫ﺍﻟﻤﺴﺘﻮﻯ‬ ‫ﻧﻌﺘﺒﺮ‬ ‫ـ‬ A . ‫ﻣﺒﺪﺃ‬ ‫ﺑﺘﻄﺒﻴﻖ‬ ‫ﺇ‬ ‫ﻟﻠﺠﻤﻠﺔ‬ ‫ﻟﻠﺠﻤﻠﺔ‬ ‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻧﺤﻔﺎﻅ‬ ) ‫ﺟﺴﻢ‬ + ‫ﻧﺎﺑﺾ‬ ( ‫ﺍﻻﺳﺘﻄﺎﻟﺔ‬ ‫ﺗﺤﻘﻘﻬﺎ‬ ‫ﺍﻟﺘﻲ‬ ‫ﺍﻟﺘﻔﺎﺿﻠﻴﺔ‬ ‫ﺍﻟﻤﻌﺎﺩﻟﺔ‬ ‫ﺃﻭﺟﺪ‬ ، x . 3 ‫ﺃﻥ‬ ‫ﻣﻦ‬ ‫ﺗﺤﻘﻖ‬ ‫ـ‬ 0 ( ) cos( ) k x t X t m M ‫ﺍﻟﺘﻔﺎﺿﻠﻴﺔ‬ ‫ﻟﻠﻤﻌﺎﺩﻟﺔ‬ ‫ﺣﻼ‬ . 4 ‫ﺍﻻﺑﺘﺪﺍﺋﻴﺔ‬ ‫ﺍﻟﺼﻔﺤﺔ‬ ‫ﺣﺪﺩ‬ ‫ـ‬ M . ‫ﻟﻠﺤﺮﻛﺔ‬ ‫ﺍﻟﺰﻣﻨﻴﺔ‬ ‫ﺍﻟﻤﻌﺎﺩﻟﺔ‬ ‫ﺃﻛﺘﺐ‬ ‫ﺛﻢ‬ . 5 ‫ـ‬ ‫ﺃ‬ ‫ﺍﻟﺠﺴﻢ‬ ‫ﺳﺮﻋﺔ‬ ‫ﻋﺒﺎﺭﺓ‬ ‫ﻛﺘﺐ‬ ( ) v t . ‫ﺛﻢ‬ ‫ﺇ‬ ‫ﺍ‬ ‫ﺳﺮﻋﺘﻪ‬ ‫ﺳﺘﻨﺘﺞ‬ ‫ﻷ‬ ‫ﻋﻈﻤﻴﺔ‬ 0 V . II ‫ﺍﻟﺠﺴﻢ‬ ‫ﻣﺮﻭﺭ‬ ‫ﻋﻨﺪ‬ ‫ـ‬ (S) ‫ﺍ‬ ‫ﻓﻲ‬ ‫ﺍﻟﺘﻮﺍﺯﻥ‬ ‫ﺑﻮﺿﻊ‬ ‫ﻹ‬ ‫ﺃﻓﻘﻲ‬ ‫ﻣﺴﺘﻮﻯ‬ ‫ﻋﻠﻰ‬ ‫ﺣﺮﻛﺘﻪ‬ ‫ﻳﺘﺎﺑﻊ‬ ‫ﻭ‬ ‫ﺍﻟﻨﺎﺑﺾ‬ ‫ﻋﻦ‬ ‫ﻳﻨﻔﺼﻞ‬ ‫ﺍﻟﻤﻮﺟﺐ‬ ‫ﺗﺠﺎﻩ‬ ‫ﺍ‬ ‫ﻳﺘﻢ‬ ‫ﺣﻴﺚ‬ ‫ﻹ‬ ‫ﻗﻮ‬ ‫ﻭﺟﻮﺩ‬ ‫ﻓﻲ‬ ‫ﻧﺰﻻﻕ‬ ‫ﺓ‬ ‫ﺷﺪﺗﻬﺎ‬ ‫ﺍﻻﺣﺘﻜﺎﻙ‬ 0,1 f N . 1 ‫ﻁﺒ‬ ‫ﺣﺪﺩ‬ ،‫ﻟﻨﻴﻮﺗﻦ‬ ‫ﺍﻟﺜﺎﻧﻲ‬ ‫ﺍﻟﻘﺎﻧﻮﻥ‬ ‫ﺑﺘﻄﺒﻴﻖ‬ ‫ـ‬ ‫ﺍﻟﺠﺴﻢ‬ ‫ﺣﺮﻛﺔ‬ ‫ﻴﻌﺔ‬ (S) . ‫ﺛﻢ‬ ‫ﺃ‬ ‫ﺗﺴﺎﺭﻋﻪ‬ ‫ﺣﺴﺐ‬ . 2 ‫ﺍﻟﻨﻘﻄﺔ‬ ‫ﺑﺎﻋﺘﺒﺎﺭ‬ ‫ـ‬ O ‫ﺍﻟﺤﺮﻛﺔ‬ ‫ﻟﻤﺤﻮﺭ‬ ‫ﻣﺒﺪﺃ‬ . ‫ﻟﺤﻈﺔ‬ ‫ﻭ‬ ‫ﺇ‬ ‫ﺍﻟﺠﺴﻢ‬ ‫ﻧﻔﺼﺎﻝ‬ (S) ‫ﻟ‬ ‫ﻣﺒﺪﺃ‬ ‫ﺍﻟﻨﺎﺑﺾ‬ ‫ﻋﻦ‬ ‫ﻸ‬ ‫ﺯﻣﻨﺔ‬ . - ‫ﺍﻟﻤﻌﺎﺩﻻ‬ ‫ﺃﻋﻂ‬ ‫ﺕ‬ ‫ﻟﻠﺤﺮﻛﺔ‬ ‫ﺍﻟﺰﻣﻨﻴﺔ‬ . 3 ‫ـ‬ . ‫ﺍﻟﺠﺴﻢ‬ ‫ﺃﻥ‬ ‫ﺑﻴﻦ‬ (S) ‫ﻳﺼﻞ‬ ‫ﺇﻟﻰ‬ ‫ﺍﻟﻨﻘﻄﺔ‬ A ‫ﺑﺴﺮﻋﺔ‬ 1 0,44 m.s A v . ‫ﺃﻥ‬ ‫ﻋﻠﻤﺎ‬ 0,2 OA m . III ‫ﻳﻐﺎﺩﺭ‬ ‫ـ‬ ‫ﺍﻟﺠﺴﻢ‬ (S) ‫ﺍﻟﻨﻘﻄﺔ‬ ‫ﻋﻨﺪ‬ ‫ﺍﻷﻓﻘﻲ‬ ‫ﺍﻟﻤﺴﺘﻮﻱ‬ A ‫ﺍﻟﻬﻮﺍء‬ ‫ﻓﻲ‬ ‫ﻟﻴﺴﻘﻂ‬ . ‫ﺑﺈﻫ‬ ‫ﺍ‬ ‫ﻗﻮﻯ‬ ‫ﻤﺎﻝ‬ ‫ﻹ‬ ‫ﺃﺭﺧﻤﻴﺪ‬ ‫ﺩﺍﻓﻌﺔ‬ ‫ﻭ‬ ‫ﺣﺘﻜﺎﻙ‬ ‫ﺱ‬ . 1 ‫ﺍﻟﻤﻌﻠﻢ‬ ‫ﻓﻲ‬ ‫ﺍﻟﺠﺴﻢ‬ ‫ﺣﺮﻛﺔ‬ ‫ﺃﺩﺭﺱ‬ ‫ـ‬ ሺ‫ܣ‬ǡ ଓǡ ሬሬԦ ଔ Ԧሻ ‫ﺑ‬ ، ‫ﺈ‬ ‫ﺍﻟﻨﻘﻄﺔ‬ ‫ﻣﻦ‬ ‫ﺍﻟﺠﺴﻢ‬ ‫ﻣﺮﻭﺭ‬ ‫ﻟﺤﻈﺔ‬ ‫ﻋﺘﺒﺎﺭ‬ A ‫ﻟﻸﺯﻣﻨﺔ‬ ‫ﻣﺒﺪﺃ‬ . ‫ﺍﻟﻤﺴﺎﺭ‬ ‫ﻣﻌﺎﺩﻟﺔ‬ ‫ﺇﺳﺘﻨﺘﺞ‬ ‫ﺛﻢ‬ . 2 ‫ﺍﻟﻨﻘﻄﺔ‬ ‫ﺇﺣﺪﺍﺛﻴﺎﺕ‬ ‫ﺣﺪﺩ‬ ‫ـ‬ B ‫ﻧﻌﻄﻲ‬ ، 50 AC cm . ; ; ; ; ; ; ; ; ; ; ‫ﻳﻌﻄﻰ‬ ;;U 2 10 m.s g ; I ; ; ‫ﺍﻟﺸﻜﻞ‬ - 2 - ‫ﺻﻔﺤﺔ‬ 3 ‫ﻣﻦ‬ 10 e n c y - e d u c a t i o n . c o m / e x a m s 4 4 ‫ﺣﺪﺩ‬ ‫ـ‬ ‫ـ‬ 5 5 ‫ـ‬ ‫ـ‬ ‫ﺃ‬ ‫ﺃ‬ ‫ﻋﺒﺎﺭﺓ‬ ‫ﻛﺘﺐ‬ ‫ﻋﺒ‬ ‫ﻛﺘﺐ‬ I ‫ﺍﻟﺠﺴﻢ‬ ‫ﻣﺮﻭﺭ‬ ‫ﻋﻨﺪ‬ ‫ـ‬ ‫ﺍﻟﺠ‬ ‫ﻣﺮﻭﺭ‬ ‫ﻨﺪ‬ S) ‫ﺍ‬ ‫ﻳﺘﻢ‬ ‫ﻹ‬ ‫ﻹ‬ ‫ﻭﺟﻮﺩ‬ ‫ﻓﻲ‬ ‫ﻧﺰﻻﻕ‬ ‫ﻭﺟ‬ ‫ﻓﻲ‬ ‫ﻧﺰﻻﻕ‬ ‫ﺣ‬ ،‫ﻟﻨﻴﻮﺗﻦ‬ ‫ﺍﻟﺜﺎﻧﻲ‬ ‫ﻟﻘﺎﻧﻮﻥ‬ ‫ﻟﻨﻴﻮﺗ‬ ‫ﺍﻟﺜﺎﻧﻲ‬ ‫ﻥ‬ O ‫ﺍﻟﺤﺮﻛ‬ ‫ﻟﻤﺤﻮﺭ‬ ‫ﻣﺒﺪﺃ‬ ‫ﺍﻟ‬ ‫ﻟﻤﺤﻮﺭ‬ ‫ﻣﺒﺪﺃ‬ ‫ﻟﻠﺤﺮﻛﺔ‬ ‫ﻟﺰﻣﻨﻴﺔ‬ ‫ﻟﻠﺤﺮﻛﺔ‬ . ‫ﺍﻟﻨﻘﻄﺔ‬ ‫ﻘﻄﺔ‬ A A ‫ﺑﺴﺮﻋﺔ‬ ‫ﺴﺮ‬ ‫ﺍﻟﻨﻘﻄﺔ‬ ‫ﻋﻨﺪ‬ ‫ﻲ‬ ‫ﻟﻨﻘﻄﺔ‬ A A ‫ﻟﻴﺴﻘﻂ‬ ‫ﻟﻴﺴ‬ ሺ ‫ﺑ‬ ، ‫ﺈ‬ ‫ﻣﺮﻭﺭ‬ ‫ﻟﺤﻈﺔ‬ ‫ﻋﺘﺒﺎﺭ‬ ‫ﻣﺮﻭ‬ ‫ﻟﺤﻈﺔ‬ ‫ﻋﺘﺒﺎﺭ‬ 3as.ency-education.com
  • 5. ‫ﺍﻟﺜﺎﻧﻲ‬ ‫ﺍﻟﺠﺰء‬ ) : 7 ‫ﻧﻘﺎﻁ‬ ( ‫ﺍﻟﺘﺠﺮﻳﺒﻲ‬ ‫ﺍﻟﺘﻤﺮﻳﻦ‬ ) 7 ‫ﻧﻘﺎﻁ‬ ( : ‫ﺃﻭﻻ‬ : ‫ﻛﺮﺑﻮﻛﺴﻴﻠﻲ‬ ‫ﻟﺤﻤﺾ‬ ‫ﻣﺎﺋﻲ‬ ‫ﻣﺤﻠﻮﻝ‬ ‫ﺩﺭﺍﺳﺔ‬ ࡯࢔ࡴ૛࢔ା૚࡯ࡻࡻࡴ : ‫ﻣﺎﺋﻴﺎ‬ ‫ﻣﺤﻠﻮﻝ‬ ‫ﻧﺤﻀﺮ‬ ) S ( ‫ﻛﺘﻠﺘﻬﺎ‬ ‫ﻛﻤﻴﺔ‬ ‫ﺑﺤﻞ‬ ‫ﺫﻟﻚ‬ ‫ﻭ‬ m=1,44 g ‫ﺍﻟﺸﻜﻞ‬ ‫ﻣﻦ‬ ‫ﺻﻴﻐﺘﺔ‬ ‫ﻛﺮﺑﻮﻛﺴﻴﻠﻲ‬ ‫ﺣﻤﺾ‬ ‫ﻣﻦ‬ : ‫ܥ‬௡‫ܪ‬ଶ௡ାଵ‫ܪܱܱܥ‬ ‫ﺣﺠﻤﻪ‬ ‫ﻣﺤﻠﻮﻝ‬ ‫ﻋﻠﻰ‬ ‫ﻓﻨﺤﺼﻞ‬ ،‫ﺍﻟﻤﻘﻄﺮ‬ ‫ﺍﻟﻤﺎء‬ ‫ﻓﻲ‬ ܸ ௔= 1L ‫ﺍﻟﻤﻮﻟﻲ‬ ‫ﺗﺮﻛﻴﺰﻩ‬ ‫ﻭ‬ ‫ܥ‬௔ . ‫ﻧﺄﺧﺬ‬ ‫ﺣﺠﻤﺎ‬ ܸ ௔=20 mL ‫ﺍﻟﻤﺤﻠﻮﻝ‬ ‫ﻣﻦ‬ ) S ( ، ‫ﻭ‬ ‫ﺍﻟﺼﻮﺩﻳﻮﻡ‬ ‫ﻟﻬﻴﺪﺭﻭﻛﺴﻴﺪ‬ ‫ﻣﺎﺋﻲ‬ ‫ﻣﺤﻠﻮﻻ‬ ‫ﺗﺪﺭﻳﺠﻴﺎ‬ ‫ﻟﻪ‬ ‫ﻧﻀﻴﻒ‬
  • 6. ( ( ) aq aq Na OH ‫ﺍﻟﻤﻮﻟﻲ‬ ‫ﺗﺮﻛﻴﺰﻩ‬ ‫ܥ‬௕= 0,05 mol/ L . ‫ﻟﻴﻜﻦ‬ VE ‫ﺍ‬ ‫ﺍﻟﻤﺤﻠﻮﻝ‬ ‫ﺣﺠﻢ‬ ‫ﻫﻮ‬ ‫ﻷ‬ ‫ﻟﻠﺘﻜﺎﻓﺆ‬ ‫ﺍﻟﻼﺯﻡ‬ ‫ﺳﺎﺳﻲ‬ . ‫ﻗﻴﻢ‬ ‫ﻧﺴﺠﻞ‬ PH ‫ﻋﻨﺪ‬ ‫ﻛﻞ‬ ‫ﺇﺿﺎﻓﺔ‬ . ‫ﻣﻦ‬ ‫ﺍﻟﺘﺠﺮﻳﺒﻴﺔ‬ ‫ﺍﻟﻘﻴﺎﺳﺎﺕ‬ ‫ﻣﻜﻨﺖ‬ ‫ﺍﻟﺒﻴﺎﻧﻲ‬ ‫ﺍﻟﻤﻨﺤﻨﻰ‬ ‫ﺭﺳﻢ‬ ሾ‫ܪ‬ଷܱାሿ ൌ ݂ ቀ ଵ ௏್ ቁ ‫ﺍﻟﺸﻜﻞ‬ ‫ﻓﻲ‬ ‫ﺍﻟﻤﻤﺜﻞ‬ - 3 - ) ‫ﺣﻴﺚ‬ ܸ௕ ‫ﺍﻟﻤﻀﺎﻑ‬ ‫ﺍﻻﺳﺎﺳﻲ‬ ‫ﺍﻟﻤﺤﻠﻮﻝ‬ ‫ﺣﺠﻢ‬ ‫ﻫﻮ‬ . ( 1 - ‫ﺃ‬ ‫ﺍﻟﺤﻤﺾ‬ ‫ﺗﺸﺮﺩ‬ ‫ﻣﻌﺎﺩﻟﺔ‬ ‫ﻛﺘﺐ‬ ‫ܥ‬௡‫ܪ‬ଶ௡ାଵ‫ܪܱܱܥ‬ ‫ﺍﻟﻤﺎء‬ ‫ﻓﻲ‬ . 2 - ‫ﺃﻛﺘﺐ‬ ‫ﺍﻟﻜﺮﺑﻮﻛﺴﻴﻠﻲ‬ ‫ﺑﺎﻟﺤﻤﺾ‬ ‫ﺍﻟﺨﺎﺻﺔ‬ ‫ﺍﻟﺤﻤﻮﺿﺔ‬ ‫ﺛﺎﺑﺖ‬ ‫ﻋﺒﺎﺭﺓ‬ . 3 - ‫ﺃﻛﺘﺐ‬ ‫ﺷﻮﺍﺭﺩ‬ ‫ﻣﻊ‬ ‫ﺍﻟﻜﺮﺑﻮﻛﺴﻴﻠﻲ‬ ‫ﺍﻟﺤﻤﺾ‬ ‫ﺗﻔﺎﻋﻞ‬ ‫ﻣﻌﺎﺩﻟﺔ‬ OH- ‫ﺗﺎﻣﺎ‬ ‫ﻧﻌﺘﺒﺮﻩ‬ ‫ﺍﻟﺬﻱ‬ ‫ﺍﻟﺼﻮﺩﻳﻮﻡ‬ ‫ﻟﻬﻴﺪﺭﻭﻛﺴﺪ‬ . 4 - ‫ﺍﻟﺤﻤﻮﺿﺔ‬ ‫ﺛﺎﺑﺖ‬ ‫ﻋﻦ‬ ‫ﻋﺒﺮ‬ Ka ‫ﺑﺪﻻﻟﺔ‬ ‫ﺍﻟﻜﺮﺑﻮﻛﺴﻴﻠﻲ‬ ‫ﻟﻠﺤﻤﺾ‬ : ሾ‫ܪ‬ଷܱାሿǡ ܸ௕ǡ ‫ܥ‬௕ǡ ܸ ௔ǡ ‫ܥ‬௔ ‫ﺑﻴﻦ‬ ‫ﺛﻢ‬ ، ‫ﺃ‬ ‫ﻥ‬ : ) 1 ( …. ሾ‫ܪ‬ଷܱାሿ ൌ ‫ܭ‬௔ܸா ൈ ቀ ଵ ௏್ ቁ െ ‫ܭ‬௔ 5 - ‫ﺇ‬ ‫ﺍﻟﻌﻼﻗﺔ‬ ‫ﻭ‬ ‫ﺍﻟﺒﻴﺎﻥ‬ ‫ﻣﻦ‬ ‫ﺳﺘﻨﺘﺞ‬ ) 1 ( ‫ﻗﻴﻤﺘﻲ‬ Ka ‫ﻭ‬ VE . 6 - ‫ﺃ‬ ‫ﻗﻴﻤﺔ‬ ‫ﺣﺴﺐ‬ ‫ܥ‬௔ ‫ﺛﻢ‬ ، ‫ﺃﻭﺟﺪ‬ ‫ﺍﻟﻤﺠﻤﻠﺔ‬ ‫ﺍﻟﺼﻴﻐﺔ‬ ‫ﺍﻟﻜﺮﺑﻮﻛﺴﻴﻠﻲ‬ ‫ﻟﻠﺤﻤﺾ‬ . ‫ﺗﻌﻄﻰ‬ : ‫ﺛﺎﻧﻴﺎ‬ : ‫ﻛﻴﻤﻴﺎﺋﻲ‬ ‫ﻟﺘﺤﻮﻝ‬ ‫ﺍﻟﺤﺮﻛﻴﺔ‬ ‫ﺍﻟﺪﺭﺍﺳﺔ‬ : 1 - ‫ﻣﻊ‬ ‫ﺍﻟﺴﺎﺑﻖ‬ ‫ﺍﻟﺤﻤﺾ‬ ‫ﻳﺘﻔﺎﻋﻞ‬ ‫ﺻﻴﻐﺘﻪ‬ ‫ﻛﺤﻮﻝ‬ ସଽ െ ‫ﻋﻀﻮﻱ‬ ‫ﻛﻴﻤﻴﺎﺋﻲ‬ ‫ﻧﻮﻉ‬ ‫ﻓﻴﻨﺘﺞ‬ E ‫ﺍﻟﻤﺎء‬ ‫ﻭ‬ . - ‫ﺃﻛﺘﺐ‬ ‫ﺍﻟﺘﻔﺎﻋﻞ‬ ‫ﻣﻌﺎﺩﻟﺔ‬ . - ‫ﺍﻟﻜﻴﻤﻴﺎﺋﻲ‬ ‫ﺍﻟﻨﻮﻉ‬ ‫ﺇﻟﻴﻬﺎ‬ ‫ﻳﻨﺘﻤﻲ‬ ‫ﺍﻟﺘﻲ‬ ‫ﺍﻟﻮﻅﻴﻔﻴﺔ‬ ‫ﺍﻟﻤﺠﻤﻮﻋﺔ‬ ‫ﻫﻲ‬ ‫ﻣﺎ‬ E ‫ﺍﺳﻤﻪ‬ ‫ﺃﻋﻂ‬ ، . 2 - ‫ﺣﻮﺟﻠﺔ‬ ‫ﻓﻲ‬ ‫ﻧﺴﻜﺐ‬ ͲǡͶͺ݉‫݈݋‬ ‫ﻭ‬ ‫ﺍﻟﺤﻤﺾ‬ ‫ﻣﻦ‬ ͲǡͶͺ݉‫݈݋‬ ‫ﻣﻦ‬ ‫ﺍﻟﻜﺤﻮﻝ‬ ସଽ െ ‫ﻧﻀﻴﻒ‬ ‫ﻣﻦ‬ ‫ﻗﻄﺮﺍﺕ‬ ، ‫ﻓﺘﺎﻟﻴﻦ‬ ‫ﺍﻟﻔﻴﻨﻮﻝ‬ ‫ﻣﻦ‬ ‫ﻗﻄﺮﺍﺕ‬ ‫ﻭ‬ ‫ﺍﻟﻤﺮﻛﺰ‬ ‫ﺍﻟﻜﺒﺮﻳﺖ‬ ‫ﺣﻤﺾ‬ ‫ﻓﻨﺤﺼﻞ‬ ‫ﺣﺠﻤﻪ‬ ‫ﻣﺰﻳﺞ‬ ‫ﻋﻠﻰ‬ V=400 mL . C2H5COOH CH3COOH HCOOH ‫ﺍﻟﻜﻴﻤﻴﺎﺋﻴﺔ‬ ‫ﺍﻟﺼﻴﻐﺔ‬ 74 60 46 ‫ﺍﻟﻤﻮﻟﻴﺔ‬ ‫ﺍﻟﻜﺘﻠﺔ‬ (g/mol) ‫ﺻﻔﺤﺔ‬ 4 ‫ﻣﻦ‬ 10 e n c y - e d u c a t i o n . c o m / e x a m s ‫ﻧﺤ‬ ܱܱ‫ܪ‬ ‫ܪ‬ 20 mL mL ‫ﺍﻟﻤﻮﻟﻲ‬ ‫ﺗﺮﻛﻴﺰﻩ‬ ‫ﺍﻟﻤ‬ ‫ﺗﺮﻛﻴﺰﻩ‬ ‫ﻟﻴﻜﻦ‬ ‫ﻦ‬ V VE E ‫ﺍﻟﻤ‬ ‫ﺣﺠﻢ‬ ‫ﻫﻮ‬ ‫ﺣ‬ ‫ﻫﻮ‬ ‫ﺍﻟﺒﻴﺎﻧﻲ‬ ‫ﺍﻟﻤﻨﺤﻨﻰ‬ ‫ﺳﻢ‬ ‫ﺍﻟﺒﻴﺎﻧﻲ‬ ‫ﻤﻨﺤﻨﻰ‬ ቀ௏್ ቁ ቁ ‫ﺍﻟﺤﻤﺾ‬ ‫ﺗﺸﺮﺩ‬ ‫ﻌﺎﺩﻟﺔ‬ ‫ﺍﻟﺤﻤﺾ‬ ‫ﺗﺸﺮﺩ‬ ‫ﺔ‬ ‫ܪ‬ ‫ﺍﻟﺨﺎﺻﺔ‬ ‫ﺍﻟﺤﻤﻮﺿﺔ‬ ‫ﺑﺖ‬ ‫ﺍﻟﺨﺎﺻ‬ ‫ﺤﻤﻮﺿﺔ‬ ‫ﻣﻊ‬ ‫ﺍﻟﻜﺮﺑﻮﻛﺴﻴﻠﻲ‬ ‫ﻟﺤﻤﺾ‬ ‫ﺍﻟﻜﺮﺑﻮﻛﺴﻴﻠﻲ‬ ‫ﺾ‬ ‫ﺗﺎﻣﺎ‬ ‫ﺘﺒﺮﻩ‬ ‫ﺗﺎﻣﺎ‬ . . ‫ﺑﺪﻻﻟﺔ‬ ‫ﺍﻟﻜﺮﺑﻮﻛﺴﻴﻠﻲ‬ ‫ﺾ‬ ‫ﺑ‬ ‫ﺍﻟﻜﺮﺑﻮﻛﺴﻴﻠﻲ‬ : ‫ﺍﻟﻜﻴﻤﻴﺎﺋﻴﺔ‬ ‫ﺔ‬ ‫ﺎﺋﻴﺔ‬ e e d e (g/mol) ( / e e y - e y y c a t i o c a t i o 3as.ency-education.com
  • 7. ‫ﻓﻲ‬ ‫ﻧﺴﻜﺐ‬ ‫ﺍﻟﺘﻔﺎﻋﻞ‬ ‫ﻫﺬﺍ‬ ‫ﺗﻄﻮﺭ‬ ‫ﻟﺘﺘﺒﻊ‬ 10 ‫ﺃﻧﺎﺑﻴﺐ‬ ‫ﺣﺠﻮﻣ‬ ‫ﺎ‬ ‫ﻧﻐﻠﻘﻬﺎ‬ ‫ﻭ‬ ، ‫ﺍﻟﺘﻔﺎﻋﻠﻲ‬ ‫ﺍﻟﻤﺰﻳﺞ‬ ‫ﻣﻦ‬ ‫ﻣﺘﺴﺎﻭﻳﺔ‬ ‫ﻣﺎﺋﻲ‬ ‫ﺣﻤﺎﻡ‬ ‫ﻓﻲ‬ ‫ﻧﻀﻌﻬﺎ‬ ‫ﻭ‬ ‫ﺣﺮﺍﺭﺗﻪ‬ ‫ﺩﺭﺟﺔ‬ (70°C) ‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻋﻨﺪ‬ ‫ﺍﻟﻤﻴﻘﺎﺗﻴﺔ‬ ‫ﺗﺸﻐﻴﻞ‬ ‫ﻣﻊ‬ t=0 . ‫ﻧﺨﺮﺝ‬ ‫ﺍﻟﺰﻣﻦ‬ ‫ﺑﺪﻻﻟﺔ‬ ‫ﺍﻟﻤﺠﻤﻮﻋﺔ‬ ‫ﺗﻘﺪﻡ‬ ‫ﻟﺘﺤﺪﻳﺪ‬ ‫ﺍﻷﻧﺎﺑﻴﺐ‬ ‫ﺗﻠﻮ‬ ‫ﻭﺍﺣﺪﺍ‬ ‫ﺍﻟﺤﻤﺎﻡ‬ ‫ﻣﻦ‬ ‫ﺍﻷﺧﺮ‬ ‫ﻧﻀﻌ‬ ‫ﻭ‬ ‫ﻪ‬ ‫ﻧﻌﺎﻳﺮ‬ ‫ﺛﻢ‬، ‫ﺍﻟﻤﺜﻠﺞ‬ ‫ﺍﻟﻤﺎء‬ ‫ﻓﻲ‬ ‫ﻛﻞ‬ ‫ﻓﻲ‬ ‫ﺍﻟﻤﺘﺒﻘﻲ‬ ‫ﺍﻟﺤﻤﺾ‬ ‫ﺃﻧﺒﻮﺏ‬ ‫ﻟﻬﻴﺪﺭﻭ‬ ‫ﻣﺎﺋﻲ‬ ‫ﻣﺤﻠﻮﻝ‬ ‫ﺑﻮﺍﺳﻄﺔ‬ ‫ﻛ‬ ‫ﺍﻟﺼﻮﺩﻳﻮﻡ‬ ‫ﺴﻴﺪ‬
  • 8. ( ( ) aq aq Na OH ‫ﺍﻟﻤﻮﻟﻲ‬ ‫ﺗﺮﻛﻴﺰﻩ‬ ‫ܥ‬௕ ൌ Ͳǡͳ ݉‫݈݋‬Ȁ‫ܮ‬ . ‫ﺍﻟﺸﻜﻞ‬ ‫ﻳﻮﺿﺢ‬ ‫ﻛﻤﺎ‬ - 4 - . - ‫ﻭ‬ ‫ﺍﻟﺘﺴﺨﻴﻦ‬ ‫ﻣﻦ‬ ‫ﺍﻟﻬﺪﻑ‬ ‫ﻫﻮ‬ ‫ﻣﺎ‬ ‫ﺇ‬ ‫؟‬ ‫ﺍﻟﻤﺮﻛﺰ‬ ‫ﺍﻟﻜﺒﺮﻳﺖ‬ ‫ﺣﻤﺾ‬ ‫ﺳﺘﻌﻤﺎﻝ‬ 3 - ‫ﺇ‬ ‫ﺗﻐﻴﺮﺍﺕ‬ ‫ﺑﻴﺎﻥ‬ ‫ﺭﺳﻢ‬ ‫ﻣﻦ‬ ‫ﺗﻤﻜﻨﺎ‬ ‫ﺍﻟﻤﻌﺎﻳﺮﺓ‬ ‫ﻟﻬﺬﻩ‬ ‫ﺍﻟﺘﺠﺮﻳﺒﻴﺔ‬ ‫ﺍﻟﺪﺭﺍﺳﺔ‬ ‫ﻋﻠﻰ‬ ‫ﻋﺘﻤﺎﺩﺍ‬ ‫ﺍﻟﺘﻘﺪﻡ‬ ‫ݔ‬ ‫ﺍﻟﻜﺤﻮﻝ‬ ‫ﻣﻊ‬ ‫ﺍﻟﺤﻤﺾ‬ ‫ﻟﺘﻔﺎﻋﻞ‬ ‫ﺍﻟﺰﻣﻦ‬ ‫ﺑﺪﻻﻟﺔ‬ ‫ݔ‬ ൌ ݂ሺ‫ݐ‬ሻ ‫ﺍﻟﺸﻜﻞ‬ - 5 - ‫ﺇ‬ ‫ﺍﻟﺒﻴﺎﻥ‬ ‫ﻋﻠﻰ‬ ‫ﻋﺘﻤﺎﺩﺍ‬ : - ‫ﺃ‬ ‫ﺣﺴﺐ‬ ‫ﺍﻟ‬ ‫ﺴﺮﻋﺔ‬ ‫ﺍﻟ‬ ‫ﻠ‬ ‫ﺤﻈﻴﺔ‬ ‫ﻟﻠ‬ ‫ﺍﻟﻠﺤﻈﺘﻴﻦ‬ ‫ﻋﻨﺪ‬ ‫ﺘﻔﺎﻋﻞ‬ : 20 min = t2= 60 min , t1 ‫؟‬ ‫ﺗﺴﺘﻨﺘﺞ‬ ‫ﻣﺎﺫﺍ‬ - ‫ﺍﻟﺘﻔﺎﻋﻞ‬ ‫ﻧﺼﻒ‬ ‫ﺯﻣﻦ‬ ‫ݐ‬ଵ ଶ ൗ . - ‫ﺍﻟﺘﻮﺍﺯﻥ‬ ‫ﻋﻨﺪ‬ ‫ﺍﻟﺘﻔﺎﻋﻞ‬ ‫ﻛﺴﺮ‬ ܳ୰୤ . - ‫ﺍﻟﻨﻬﺎﺋﻲ‬ ‫ﺍﻟﺘﻘﺪﻡ‬ ‫ﻧﺴﺒﺔ‬ ߬௙ . - ‫ﺍﻟﺘﻔﺎﻋﻞ‬ ‫ﻫﺬﺍ‬ ‫ﻣﺮﺩﻭﺩ‬ ‫ﺍﺣﺴﺐ‬ ‫ﺍﻟﻤﺴﺘﻌﻤﻞ‬ ‫ﺍﻟﻜﺤﻮﻝ‬ ‫ﺻﻨﻒ‬ ‫ﺇﺳﺘﻨﺎﺝ‬ ‫ﻭ‬ - ‫ﺍﻟﻤﺮﺩﻭﺩ‬ ‫ﻫﺬﺍ‬ ‫ﻟﺘﺤﺴﻴﻦ‬ ‫ﻁﺮﻳﻘﺘﻴﻦ‬ ‫ﺍﺫﻛﺮ‬ ‫ﺇ‬ ‫ﺍﻷﻭﻝ‬ ‫ﺍﻟﻤﻮﺿﻮﻉ‬ ‫ﻧﺘﻬﻰ‬ 1 2 9 10 ‫ﻣﺎﺋﻲ‬ ‫ﺣﻤﺎﻡ‬ (70°C) ‫ﺍﻟﺸﻜﻞ‬ - 4 - ‫ݔ‬ሺ݉݉‫݈݋‬ሻ ‫ﺍﻟﺸﻜﻞ‬ - 5 - t(mn) 8 20 ‫ﺻﻔﺤﺔ‬ 5 ‫ﻣﻦ‬ 10 e n c y - e d u c a t i o n . c o m / e x a m s - 3 - ‫ﺇ‬ 3 - ‫ﺇ‬ ‫ﻋﻠﻰ‬ ‫ﻋﺘﻤﺎﺩﺍ‬ ‫ﻋﺘﻤﺎﺩ‬ ‫ﺍﻟﺘﻘﺪﻡ‬ ‫ﺪﻡ‬ ‫ݔ‬ ‫ݔ‬ ‫ﺍﻟﺤﻤ‬ ‫ﻟﺘﻔﺎﻋﻞ‬ ‫ﻟﺘﻔﺎﻋﻞ‬ ‫ﺍﻟﺒﻴﺎﻥ‬ ‫ﻋﻠﻰ‬ ‫ﻤﺎﺩﺍ‬ ‫ﺍﻟﺒﻴﺎﻥ‬ ‫ﻠﻰ‬ : ‫ﺐ‬ ‫ﺍﻟ‬ ‫ﺴﺮﻋﺔ‬ ‫ﻟﺴﺮﻋﺔ‬ ‫ﺍﻟ‬ ‫ﺍﻟ‬ ‫ﻠ‬ ‫ﻠ‬‫ﻟ‬ ‫ﻟ‬ ‫ﻟ‬ ‫ﺤﻈﻴﺔ‬ ‫ﻠﺤﻈﻴ‬ ‫ﻟﻠ‬ 2 = 2= 60 0 min min , t , 1 ‫ﺍﻟﺘﻔﺎﻋﻞ‬ ‫ﻋﻞ‬ ‫ݐ‬ ‫ݐ‬ଵ ଵ ଶ ଶ ൗ ൗ . ‫ﺍﻟﺘﻮﺍﺯﻥ‬ ‫ﻥ‬ ܳ ܳ୰ ୰ ୤ ୤ . ‫ﺍﻟﻜﺤﻮﻝ‬ ‫ﺻﻨﻒ‬ ‫ﺇﺳﺘﻨﺎﺝ‬ ‫ﻭ‬ ‫ﺻﻨﻒ‬ ‫ﻨﺎﺝ‬ ‫ﺩﻭﺩ‬ u c a t i o u c a t i o c a c a c a c a c a c a t c a t c a t a t a t i a t i a t i a t i a t i a t i t i t i t i t i i i i c c c c c a c a c a c a c a c a a a t a t a t i a t i c a a a a t t i c a t t i o a t i o a t i o ሺ݉݉‫݈݋‬ሻ 3as.ency-education.com
  • 9. ‫ﻋﻠﻰ‬ ‫ﺍﻟﺜﺎﻧﻲ‬ ‫ﺍﻟﻤﻮﺿﻮﻉ‬ ‫ﻳﺤﺘﻮﻱ‬ 5 ‫ﺻﻔﺤﺎﺕ‬ ) ‫ﻣﻦ‬ ‫ﺍﻟﺼﻔﺤﺔ‬ 6 ‫ﻣﻦ‬ 10 ‫ﺇﻟﻰ‬ ‫ﺍﻟﺼﻔﺤﺔ‬ 10 ‫ﻣﻦ‬ 10 ( ‫ﺍﻷﻭﻝ‬ ‫ﺍﻟﺠﺰء‬ : ) 13 ‫ﻧﻘﻄﺔ‬ ( ‫ﺍﻷﻭﻝ‬ ‫ﺍﻟﺘﻤﺮﻳﻦ‬ : ) 06 ‫ﻧﻘﺎﻁ‬ ( ‫ﻛﺘﻠﺘﻬﺎ‬ ‫ﺗﻨﺲ‬ ‫ﻛﺮﺓ‬ 58 m g ‫ﻭﺣﺠﻤﻬﺎ‬ V ، ‫ﻣﺘﺠﺎﻧﺴﺔ‬ ‫ﻧﻌﺘﺒﺮﻫﺎ‬ ، ‫ﺍﻟﺤﺠﻤﻴﺔ‬ ‫ﻛﺘﻠﺘﻬﺎ‬ 3 0,37 s g cm U . I - ‫ﺍﻟﻨﻘﻄﺔ‬ ‫ﻣﻦ‬ ‫ﺍﺑﺘﺪﺍﺋﻴﺔ‬ ‫ﺳﺮﻋﺔ‬ ‫ﺑﺪﻭﻥ‬ ‫ﺍﻟﻬﻮﺍء‬ ‫ﻣﻦ‬ ‫ﻣﻔﺮﻍ‬ ‫ﺣﻴﺰ‬ ‫ﺩﺍﺧﻞ‬ ‫ﺷﺎﻗﻮﻟﻴﺎ‬ ‫ﺗﺴﻘﻂ‬ ‫ﻧﺘﺮﻛﻬﺎ‬
  • 10. O ‫ﺍﻟﺸﺎﻗﻮﻟﻲ‬ ‫ﺍﻟﻤﺤﻮﺭ‬ ‫ﻣﺒﺪﺃ‬ OZ ‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻋﻨﺪ‬ ‫ﺍﻷﺳﻔﻞ‬ ‫ﻧﺤﻮ‬ ‫ﺍﻟﻤﻮﺟﻪ‬ 0 t ، ‫ﺍﻟﺘﺼﻮﻳﺮ‬ ‫ﻭﺑﻮﺍﺳﻄﺔ‬ ‫ﺍﻟﺒﻴﺎﻥ‬ ‫ﻣﺜﻠﻨﺎ‬ ‫ﺍﻟﻨﺘﺎﺋﺞ‬ ‫ﻭﺗﺤﻠﻴﻞ‬ ( ) z f t ) ‫ﺍﻟﺸﻜﻞ‬ - 1 - .( 1 - ‫ﺍﻟﻜﺮﺓ‬ ‫ﻋﻠﻰ‬ ‫ﺍﻟﻤﺆﺛﺮﺓ‬ ‫ﺍﻟﻘﻮﻯ‬ ‫ﻣﺜﻞ‬ ، ‫ﻣﻊ‬ ‫ﺗﺤﺪﻳﺪ‬ ‫ﺍﻟ‬ ‫ﻤﺮﺟﻊ‬ ‫ﺍﻟ‬ ‫ﻤﻨﺎﺳﺐ‬ ‫ﻟﻠﺴﺮﻋﺔ‬ ‫ﺍﻟﺘﻔﺎﺿﻠﻴﺔ‬ ‫ﺍﻟﻤﻌﺎﺩﻟﺔ‬ ‫ﺟﺪ‬ ‫ﻟﻨﻴﻮﺗﻦ‬ ‫ﺍﻟﺜﺎﻧﻲ‬ ‫ﺍﻟﻘﺎﻧﻮﻥ‬ ‫ﻭﺑﺘﻄﺒﻴﻖ‬ . 2 - ‫ﺍﻟﺰﻣﻨﻴﺔ‬ ‫ﺍﻟﻤﻌﺎﺩﻟﺔ‬ ‫ﺟﺪ‬ ( ) z f t ‫ﺍﻟﻜﺮﺓ‬ ‫ﻟﺤﺮﻛﺔ‬ . 3 - ‫ﺇ‬ ‫ﺍﻟﺒﻴﺎﻥ‬ ‫ﻋﻠﻰ‬ ‫ﻋﺘﻤﺎﺩﺍ‬ ‫ﺃ‬ ‫ﺍﻷﺭﺿﻲ‬ ‫ﺍﻟﺘﺴﺎﺭﻉ‬ ‫ﻗﻴﻤﺔ‬ ‫ﺣﺴﺐ‬
  • 11. g . 4 - ‫ﺃ‬ ‫ﻗﺪﺭﻫﺎ‬ ‫ﻣﺴﺎﻓﺔ‬ ‫ﻗﻄﻌﺖ‬ ‫ﻗﺪ‬ ‫ﺗﻜﻮﻥ‬ ‫ﻋﻨﺪﻣﺎ‬ ‫ﺍﻟﻜﺮﺓ‬ ‫ﺳﺮﻋﺔ‬ ‫ﺣﺴﺐ‬ 11,25 h m 5 - ‫ﺍﻟﺰﻣﻨﻲ‬ ‫ﺍﻟﻤﺠﺎﻝ‬ ‫ﻓﻲ‬ ‫ﺍﻟﺴﺮﻋﺔ‬ ‫ﻣﺨﻄﻂ‬ ‫ﻣﺜﻞ‬ @ 0 , 3s II - ‫ﺳﺮﻋﺔ‬ ‫ﺑﺪﻭﻥ‬ ‫ﺍﻟﻨﻘﻄﺔ‬ ‫ﻧﻔﺲ‬ ‫ﻣﻦ‬ ‫ﺗﺴﻘﻂ‬ ‫ﺍﻟﻜﺮﺓ‬ ‫ﻧﺘﺮﻙ‬ ‫ﺣﻴﺚ‬ ‫ﺍﻟﺘﺠﺮﺑﺔ‬ ‫ﻧﻌﻴﺪ‬ ‫ﺇ‬ ‫ﺑﺘﺪﺍﺋﻴﺔ‬ . ‫ﺍ‬ ‫ﻟﻘﻮﺓ‬ ‫ﺍﻟﻜﺮﺓ‬ ‫ﺗﺨﻀﻊ‬ ‫ﻹ‬ ‫ﺍﻟﻬﻮﺍء‬ ‫ﻣﻊ‬ ‫ﺣﺘﻜﺎﻙ‬ ݂ ൌ ݇‫ݒ‬ଶ ‫ﺣﻴﺚ‬ ‫ﺍﻹﺣﺘﻜﺎﻙ‬ ‫ﺛﺎﺑﺖ‬ ݇ ൌ ͻǡͶ ൈ ͳͲିସ SI ‫ﺃﺭﺧﻤﻴﺪﺱ‬ ‫ﻭﺩﺍﻓﻌﺔ‬ 3 3 . ‫ﺍﻟﻜﺮﺓ‬ ‫ﺳﺮﻋﺔ‬ ‫ﻣﺨﺘﻠﻔﺔ‬ ‫ﻟﺤﻈﺎﺕ‬ ‫ﻓﻲ‬ ‫ﺳﺠﻠﻨﺎ‬ ‫ﻣﻌﻠﻮﻣﺎﺗﻲ‬ ‫ﺑﺮﻧﺎﻣﺞ‬ ‫ﺑﻮﺍﺳﻄﺔ‬
  • 13. v m s 1 - ‫ﺃ‬ ‫ﺍﻟﺪﺍﻓﻌﺔ‬ ‫ﺧﺼﺎﺋﺺ‬ ‫ﺫﻛﺮ‬ 3 3 . 2 - ‫ﻋﻠﻰ‬ ‫ﺍﻟﻤﺆﺛﺮﺓ‬ ‫ﺍﻟﻘﻮﻯ‬ ‫ﻣﺜﻞ‬ ‫ﺍﻟﺤﺮﻛﺔ‬ ‫ﺃﺛﻨﺎء‬ ‫ﺍﻟﻜﺮﺓ‬ ، ‫ﻣﻊ‬ ‫ﺗﺤﺪﻳﺪ‬ ‫ﺍﻟ‬ ‫ﻤﺮﺟﻊ‬ ‫ﺍﻟ‬ ‫ﺟﺪ‬ ‫ﻟﻨﻴﻮﺗﻦ‬ ‫ﺍﻟﺜﺎﻧﻲ‬ ‫ﺍﻟﻘﺎﻧﻮﻥ‬ ‫ﻭﺑﺘﻄﺒﻴﻖ‬ ‫ﻤﻨﺎﺳﺐ‬ ‫ﻟﻠﺴﺮﻋﺔ‬ ‫ﺍﻟﺘﻔﺎﺿﻠﻴﺔ‬ ‫ﺍﻟﻤﻌﺎﺩﻟﺔ‬ . 3 - ‫ﺍﻟﺤﺪﻳﺔ‬ ‫ﺍﻟﺴﺮﻋﺔ‬ ‫ﻋﺮﻑ‬
  • 14. l v ‫ﻟﻠﻜﺮﺓ‬ ، ‫ﺑﺎﻟﺸﻜﻞ‬ ‫ﺗﻜﺘﺐ‬ ‫ﺍﻟﺴﺎﺑﻘﺔ‬ ‫ﺍﻟﺘﻔﺎﺿﻠﻴﺔ‬ ‫ﺍﻟﻤﻌﺎﺩﻟﺔ‬ ‫ﺃﻥ‬ ‫ﺑﻴﻦ‬ ‫ﺛﻢ‬ : 2 2 ( ) 0 l dv k v v dt m 4 - ‫ﺑﻴﺎﻧﻴﺎ‬ ‫ﻣﺜﻞ‬ ‫ﺗﻐﻴﺮﺍﺕ‬ ‫ﺍﻟﺰﻣﻦ‬ ‫ﺑﺪﻻﻟﺔ‬ ‫ﺍﻟﻜﺮﺓ‬ ‫ﺳﺮﻋﺔ‬ ‫ݒ‬ ൌ ݂ሺ‫ݐ‬ሻ . 5 - ‫ﺇﻫﻤﺎﻝ‬ ‫ﻳﻤﻜﻦ‬ 3 ‫ﻛﺎﻥ‬ ‫ﺇﺫﺍ‬ ‫ﺍﻟﻜﺮﺓ‬ ‫ﺛﻘﻞ‬ ‫ﺃﻣﺎﻡ‬ 100 P ² 3 ‫ﺃ‬ - ‫ﺍﻹﻫﻤﺎﻝ‬ ‫ﺑﻬﺬﺍ‬ ‫ﻗﻤﻨﺎ‬ ‫ﺍﻟﺘﺠﺮﺑﺔ‬ ‫ﻫﺬﻩ‬ ‫ﻓﻲ‬ ‫ﺃﻧﻪ‬ ‫ﺑﻴﻦ‬ . ‫ﺻﻔﺤﺔ‬ 6 ‫ﻣﻦ‬ 10 e n c y - e d u c a t i o n . c o m / e x a m s ‫ﻛﺮﺓ‬ I I - ‫ﻧﺘﺮﻛﻬﺎ‬ ‫ﻧﺘﺮ‬ OZ OZ ‫ﻧﺤ‬ ‫ﺍﻟﻤﻮﺟﻪ‬ ‫ﻟﻤﻮﺟ‬ ‫ﺍﻟﺒ‬ ‫ﻣﺜﻠﻨﺎ‬ ‫ﺍﻟﻨﺘﺎﺋﺞ‬ ‫ﻭﺗﺤﻠﻴﻞ‬ ‫ﻣﺜﻠ‬ ‫ﺍﻟﻨﺘﺎﺋﺞ‬ ‫ﺤﻠﻴﻞ‬ ‫ﻋﻠ‬ ‫ﺍﻟﻤﺆﺛﺮﺓ‬ ‫ﺍﻟﻘﻮﻯ‬ ‫ﻣﺜﻞ‬ ‫ﺍﻟﻤﺆﺛﺮ‬ ‫ﺍﻟﻘﻮﻯ‬ ‫ﻞ‬ ‫ﺟ‬ ‫ﻟﻨﻴﻮﺗﻦ‬ ‫ﺍﻟﺜﺎﻧﻲ‬ ‫ﺍﻟﻘﺎﻧﻮﻥ‬ ‫ﻟﻨﻴﻮ‬ ‫ﺍﻟﺜﺎﻧﻲ‬ ‫ﻮﻥ‬ ‫ﺍﻟﺰﻣﻨﻴﺔ‬ ‫ﻣﻨﻴﺔ‬ ( ) z f t z f t ( ( ‫ﻟﺤﺮ‬ ‫ﺃ‬ ‫ﺍﻷ‬ ‫ﺍﻟﺘﺴﺎﺭﻉ‬ ‫ﻗﻴﻤﺔ‬ ‫ﺣﺴﺐ‬ ‫ﺍﻟﺘﺴ‬ ‫ﻗﻴﻤﺔ‬ ‫ﺐ‬ ‫ﻣﺴﺎﻓﺔ‬ ‫ﻗﻄﻌﺖ‬ ‫ﻗﺪ‬ ‫ﺗﻜﻮﻥ‬ ‫ﻗﻄﻌﺖ‬ ‫ﻗﺪ‬ ‫ﺰﻣﻨﻲ‬ @ @ 0 , 3 0 , 3s s ‫ﺳﺮﻋﺔ‬ ‫ﺑﺪﻭﻥ‬ ‫ﺍﻟﻨﻘﻄﺔ‬ ‫ﺲ‬ ‫ﺳﺮﻋﺔ‬ ‫ﺑﺪﻭﻥ‬ ‫ﻄﺔ‬ ‫ﺇ‬ ‫ﺑ‬ ݇ ݇ ൌ ͻ ‫ﺃﺭﺧﻤﻴ‬ ‫ﻭﺩﺍﻓﻌﺔ‬ ‫ﺃ‬ ‫ﻭﺩﺍﻓﻌﺔ‬ ‫ﺍﻟﻜﺮﺓ‬
  • 15.
  • 16. v v . . 121 1024 1024 788 u u u c c c d u c 9,5 9, 7,4 7,4 4 d u d u d u c c c d d d d u d u d u d u c ‫ﻟﻨﻴ‬ ‫ﺍﻟﺜﺎﻧﻲ‬ ‫ﺍﻟﻘﺎﻧﻮﻥ‬ ‫ﺘﻄﺒﻴﻖ‬ ‫ﺍﻟﺜﺎ‬ ‫ﺍﻟﻘﺎﻧﻮﻥ‬ ‫ﻖ‬ n 2 2 2 ( ) ( ) 2 2 dv k v k dt m dt m ( ) ( 2 2 2 3as.ency-education.com
  • 17. ‫ﺑـ‬ - ‫ﺑﻴﺎﻧﻴﺎ‬ ‫ﺫﻟﻚ‬ ‫ﻣﻦ‬ ‫ﺗﺄﻛﺪ‬ . 6 - ‫ﺃ‬ ‫ﻟﻠﻜﺮﺓ‬ ‫ﺍﻟﺤﺪﻳﺔ‬ ‫ﺍﻟﺴﺮﻋﺔ‬ ‫ﺣﺴﺐ‬ . 7 - ‫ﺃ‬ ‫ﺣﺴﺐ‬ ‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻋﻨﺪ‬ ‫ﺍﻟﻜﺮﺓ‬ ‫ﺗﺴﺎﺭﻉ‬ 1,39 t s . 8 - ‫ﺳﺮﻋﺘﻬﺎ‬ ‫ﻣﺮﺑﻊ‬ ‫ﺑﺪﻻﻟﺔ‬ ‫ﺍﻟﻜﺮﺓ‬ ‫ﺗﺴﺎﺭﻉ‬ ‫ﺑﻴﺎﻧﻴﺎ‬ ‫ﻣﺜﻞ‬
  • 18. 2 a f v . ‫ﻳﻌﻄﻰ‬ : ‫ﺍﻟﺘﺠﺮﺑﺔ‬ ‫ﻅﺮﻭﻑ‬ ‫ﻓﻲ‬ ‫ﻟﻠﻬﻮﺍء‬ ‫ﺍﻟﺤﺠﻤﻴﺔ‬ ‫ﺍﻟﻜﺘﻠﺔ‬ 3 1,21 air kg m U ‫ﺍﻟﺜﺎﻧﻲ‬ ‫ﺍﻟﺘﻤﺮﻳﻦ‬ : ) 07 ‫ﻧﻘﺎﻁ‬ ( ‫ﺍﻟﻤﺎء‬ ‫ﻛﻠﻮﺭ‬ ‫ﻟﻤﺤﻠﻮﻝ‬ ‫ﻗﺎﺭﻭﺭﺓ‬ ‫ﺍﻟﺜﺎﻧﻮﻳﺔ‬ ‫ﻣﺨﺒﺮ‬ ‫ﻓﻲ‬ ‫ﺍﻟﻔﻴﺰﻳﺎﺋﻴﺔ‬ ‫ﺍﻟﻌﻠﻮﻡ‬ ‫ﺃﺳﺘﺎﺫ‬ ‫ﻭﺟﺪ‬
  • 19. 3 ( ) ( ) aq aq H O Cl ‫ﺍﻟﺘﺠﺎﺭﻱ‬ 0 ( ) S ‫ﻭﺗﺤﻤﻞ‬ ‫ﺍﻟﺸﻜﻞ‬ ‫ﻓﻲ‬ ‫ﺍﻟﻤﻮﺿﺤﺔ‬ ‫ﺍﻟﻤﻌﻠﻮﻣﺎﺕ‬ ‫ﻋﻠﻴﻬﺎ‬ ‫ﻛﺘﺐ‬ ‫ﻣﻠﺼﻘﺔ‬ - 2 - ‫ﺍﻟﻨﻘﺎﻭﺓ‬ ‫ﺩﺭﺟﺔ‬ ‫ﻗﻴﻤﺔ‬ ‫ﻣﻦ‬ ‫ﺍﻟﺘﺄﻛﺪ‬ ‫ﺍﻟﺘﻼﻣﻴﺬ‬ ‫ﻣﻦ‬ ‫ﺍﻷﺳﺘﺎﺫ‬ ‫ﻓﻄﻠﺐ‬ P ‫ﻣﺨﺘﻠﻔﺘﻴﻦ‬ ‫ﺑﻄﺮﻳﻘﺘﻴﻦ‬ . ‫ﺛﺎﺑﺘﺔ‬ ‫ﺍﻟﺤﺮﺍﺭﺓ‬ ‫ﺩﺭﺟﺔ‬ ‫ﻋﻨﺪ‬ ‫ﺃﺧﺬﺕ‬ ‫ﺍﻟﻤﺤﺎﻟﻴﻞ‬ ‫ﻛﻞ‬ 0 25 C T . I - ‫ﺣﺠﻤﺎ‬ ‫ﺑﺄﺧﺬ‬ ‫ﺍﻷﺳﺘﺎﺫ‬ ‫ﻗﺎﻡ‬ 0 3 V mL ‫ﺍﻷﺻﻠﻲ‬ ‫ﺍﻟﻤﺤﻠﻮﻝ‬ ‫ﻣﻦ‬ ‫ﻭﺑﺤﺬﺭ‬
  • 21. 1 S ‫ﺣﺠﻤﻪ‬ 1 300 V mL ‫ﺍﻟﻤﻮﻟﻲ‬ ‫ﻭﺗﺮﻛﻴﺰﻩ‬ 1 c . - ‫ﻗﺪﺭﻩ‬ ‫ﺣﺠﻤﺎ‬ ‫ﺑﺄﺧﺬ‬ ‫ﺗﻠﻤﻴﺬ‬ ‫ﻗﺎﻡ‬ 30 V mL ‫ﺍﻟﻤﺤﻠﻮﻝ‬ ‫ﻣﻦ‬
  • 23. 2 S ‫ﺍﻟﻤﻮﻟﻲ‬ ‫ﺗﺮﻛﻴﺰﻩ‬ 2 c . – ‫ﻣﺎ‬ ‫ﺍ‬ ‫ﻫﻲ‬ ‫ﻹ‬ ‫ﻳﺠﺐ‬ ‫ﺍﻟﺘﻲ‬ ‫ﺍﻷﻣﻨﻴﺔ‬ ‫ﺣﺘﻴﺎﻁﺎﺕ‬ ‫ﺇ‬ ‫ﺍﻟﻤﺤﻠﻮﻝ‬ ‫ﻟﺘﺤﻀﻴﺮ‬ ‫ﺗﺨﺎﺫﻫﺎ‬
  • 24. 1 S ‫؟‬ II - ‫ﺍﻷﻭﻝ‬ ‫ﺍﻟﻔﻮﺝ‬ : ‫ﺇ‬ ‫ﺍﻟﻨﻮﻋﻴﺔ‬ ‫ﺍﻟﻨﺎﻗﻠﻴﺔ‬ ‫ﻗﻴﺎﺱ‬ ‫ﻁﺮﻳﻖ‬ ‫ﻋﻦ‬ ‫ﺍﻟﻤﻌﺎﻳﺮﺓ‬ ‫ﺗﻘﻨﻴﺔ‬ ‫ﺍﻟﻔﻮﺝ‬ ‫ﻫﺬﺍ‬ ‫ﺗﻼﻣﻴﺬ‬ ‫ﺳﺘﺨﺪﻡ‬
  • 25. V . - ‫ﺳﻌﺘﻬﺎ‬ ‫ﻣﺪﺭﺟﺔ‬ ‫ﺳﺤﺎﺣﺔ‬ ‫ﺍﻷﻭﻝ‬ ‫ﺍﻟﺘﻠﻤﻴﺬ‬ ‫ﻣﻸ‬ 25mL ‫ﺑﻤﺤﻠﻮﻝ‬ ‫ﺻﻔﺮ‬ ‫ﺍﻟﺘﺪﺭﻳﺠﺔ‬ ‫ﺣﺘﻰ‬
  • 27. ( ( ) aq aq Na OH ‫ﺍﻟﻤﻮﻟﻲ‬ ‫ﺗﺮﻛﻴﺰﻩ‬ b c . - ‫ﻗﺪﺭﻩ‬ ‫ﺣﺠﻤﺎ‬ ‫ﺃﺧﺮ‬ ‫ﺗﻠﻤﻴﺬ‬ ‫ﺃﺧﺬ‬ ‫ﻣﺺ‬ ‫ﺑﺈﺟﺎﺻﺔ‬ ‫ﻣﺰﻭﺩﺓ‬ ‫ﻣﺎﺻﺔ‬ ‫ﺑﻮﺍﺳﻄﺔ‬ 20 a V mL ‫ﺍﻟﻤﺤﻠﻮﻝ‬ ‫ﻣﻦ‬
  • 28. 2 S ‫ﺑﻴﺸﺮ‬ ‫ﻓﻲ‬ ‫ﻭﺳﻜﺒﻪ‬ . - ‫ﺍﻟﺘﺮﻛﻴﺐ‬ ‫ﺗﺤﻘﻴﻖ‬ ‫ﺑﻌﺪ‬ ‫ﺍﻟﺸﻜﻞ‬ ‫ﻓﻲ‬ ‫ﺍﻟﻤﻮﺿﺢ‬ ‫ﺍﻟﺘﺠﺮﻳﺒﻲ‬ - 3 - ، ‫ﺍﻟﻨﻮﻋﻴﺔ‬ ‫ﺍﻟﻨﺎﻗﻠﻴﺔ‬ ‫ﻗﻴﻢ‬ ‫ﺗﺴﺠﻴﻞ‬ ‫ﻭﺗﻢ‬ ‫ﺍﻟﻤﻌﺎﻳﺮﺓ‬ ‫ﺗﻤﺖ‬
  • 29. V ‫ﺑﺪﻻﻟﺔ‬ ‫ﺍﻟﺴﺤﺎﺣﺔ‬ ‫ﻣﻦ‬ ‫ﺍﻟﻤﻀﺎﻑ‬ ‫ﺍﻟﺤﺠﻢ‬ . - ‫ﺍﻟﻤﻨﺤﻨﻰ‬ ‫ﺭﺳﻢ‬ ‫ﻣﻦ‬ ‫ﺛﺎﻟﺚ‬ ‫ﺗﻠﻤﻴﺬ‬ ‫ﺗﻤﻜﻦ‬ ‫ﺍﻟﺘﺠﺮﻳﺒﻴﺔ‬ ‫ﺍﻟﻨﺘﺎﺋﺞ‬ ‫ﻋﻠﻰ‬ ‫ﺑﺎﻹﻋﺘﻤﺎﺩ‬ ( ) b f V V ‫ﺍﻟﻤ‬ ‫ﺍﻟﺸﻜﻞ‬ ‫ﻓﻲ‬ ‫ﺒﻴﻦ‬ - 4 - ‫ﺍ‬ ‫ﻟﻌﻴﻦ‬ ‫ﺻﻔﺤﺔ‬ 7 ‫ﻣﻦ‬ 10 e n e n e n e d u c a t i o n . c o m / e x a m s ‫ﻳﻌﻄ‬ ‫ﺍﻟﺜﺎﻧﻲ‬ ‫ﺍﻟﺘﻤﺮﻳﻦ‬ ‫ﺍﻟﺜﺎﻧﻲ‬ ‫ﻟﺘﻤﺮﻳﻦ‬ a m : ) 7 ‫ﺍﻟﻔﻴﺰﻳﺎﺋﻴﺔ‬ ‫ﺍﻟﻌﻠﻮﻡ‬ ‫ﺃﺳﺘﺎﺫ‬ ‫ﺟﺪ‬ ‫ﺍﻟﻔﻴﺰ‬ ‫ﺍﻟﻌﻠﻮﻡ‬ ‫ﺘﺎﺫ‬ ‫ﺍﻟ‬ ‫ﺍﻟﻤﻌﻠﻮﻣﺎﺕ‬ ‫ﻋﻠﻴﻬﺎ‬ ‫ﻛﺘﺐ‬ ‫ﺍ‬ ‫ﺍﻟﻤﻌﻠﻮﻣﺎﺕ‬ ‫ﻋﻠﻴﻬﺎ‬ ‫ﻣﻦ‬ ‫ﺍﻟﺘﺄﻛﺪ‬ ‫ﺍﻟﺘﻼﻣﻴﺬ‬ ‫ﻣﻦ‬ ‫ﺘﺎﺫ‬ ‫ﺍﻟﺘﺄﻛﺪ‬ ‫ﺍﻟﺘﻼﻣﻴﺬ‬ ‫ﻦ‬ ‫ﺍﻟﺤﺮﺍﺭﺓ‬ ‫ﺩﺭﺟﺔ‬ ‫ﻋﻨﺪ‬ ‫ﺧﺬﺕ‬ ‫ﺍﻟﺤﺮ‬ ‫ﺩﺭﺟﺔ‬ ‫ﻋﻨﺪ‬ ‫ﺣﺠﻤﺎ‬ ‫ﺬ‬ ‫ﻤﺎ‬ 0 0 3 V mL V mL 0 0 3 3 ‫ﻭﺑﺤ‬
  • 30. 1 S1 ‫ﺣﺠﻤﻪ‬ ‫ﺣﺠﻤﻪ‬ 300mL mL 300 0 ‫ﻗﺪﺭﻩ‬ 30 V mL V mL 30 ‫ﺍ‬ ‫ﻣﻦ‬ ‫ﻳﺠﺐ‬ ‫ﻟﺘﻲ‬ ‫ﺠﺐ‬ ‫ﺇ‬ ‫ﺇ‬ ‫ﻟﺘﺤﻀ‬ ‫ﺗﺨﺎﺫﻫﺎ‬ ‫ﻟ‬ ‫ﺗﺨﺎﺫﻫﺎ‬ ‫ﻗﻴ‬ ‫ﻁﺮﻳﻖ‬ ‫ﻋﻦ‬ ‫ﺍﻟﻤﻌﺎﻳﺮﺓ‬ ‫ﺔ‬ ‫ﻗ‬ ‫ﻁﺮﻳﻖ‬ ‫ﻋﻦ‬ ‫ﻌﺎﻳﺮﺓ‬ ‫ﺑﻤﺤﻠﻮ‬ ‫ﺻﻔﺮ‬ ‫ﺍﻟﺘﺪﺭﻳﺠﺔ‬ ‫ﻰ‬ ‫ﺻﻔﺮ‬ ‫ﺘﺪﺭﻳﺠﺔ‬ ‫ﺭﻩ‬ 20 20 a V mL m 20 20 a ‫ﺍﻟﻤﺤ‬ ‫ﻣﻦ‬ ‫ﻣ‬ ‫ﺍﻟﻨﺎ‬ ‫ﻗﻴﻢ‬ ‫ﺗﺴﺠﻴﻞ‬ ‫ﻭﺗﻢ‬ ‫ﻌﺎﻳﺮﺓ‬ ‫ﺍﻟﻨﺎ‬ ‫ﻗﻴﻢ‬ ‫ﺗﺴﺠﻴﻞ‬ ‫ﻭﺗﻢ‬ V ‫ﺍﻟﻤ‬ ‫ﻟﻤ‬ ‫ﺍﻟﺸﻜﻞ‬ ‫ﻓﻲ‬ ‫ﺒﻴﻦ‬ - 4 ‫ﻓﻲ‬ ‫ﻤﺒﻴﻦ‬ ‫ﻤ‬ ‫ﻤ‬ e e 3as.ency-education.com
  • 31. 1 - ‫ﺃ‬ - ‫ﺍﻟﺸﻜﻞ‬ ‫ﻓﻲ‬ ‫ﺑﺄﺭﻗﺎﻡ‬ ‫ﺇﻟﻴﻬﺎ‬ ‫ﺍﻟﻤﺸﺎﺭ‬ ‫ﺍﻟﻌﻨﺎﺻﺮ‬ ‫ﺳﻢ‬ - 3 - . ‫ﺑ‬ ‫ـ‬ - ‫ﺍﻟﻌﻨﺼﺮ‬ ‫ﻋﻠﻰ‬ ‫ﺍﻟﺤﺠﻢ‬ ‫ﻗﺮﺍءﺓ‬ ‫ﻓﻲ‬ ‫ﺻﺤﻴﺤﺔ‬ ‫ﺍﻟﻌﻴﻦ‬ ‫ﻭﺿﻌﻴﺔ‬ ‫ﻫﻞ‬ ) 1 ( ‫ﺍﻟﺼﺤﻴﺤﺔ‬ ‫ﺍﻟﻮﺿﻌﻴﺔ‬ ‫ﺣﺪﺩ‬ ‫؟‬ ) ‫ﺃ‬ ‫ﺗﻘﺮﻳﺒﻴﺎ‬ ‫ﺭﺳﻤﺎ‬ ‫ﺭﺳﻢ‬ .( 2 - ‫ﺃ‬ - ‫ﺍﻟﺤﺎﺩﺙ‬ ‫ﺍﻟﻜﻴﻤﻴﺎﺋﻲ‬ ‫ﺍﻟﺘﺤﻮﻝ‬ ‫ﻧﻮﻉ‬ ‫ﺗﺤﺪﻳﺪ‬ ‫ﻣﻊ‬ ‫ﺍﻟﻤﻌﺎﻳﺮﺓ‬ ‫ﺗﻔﺎﻋﻞ‬ ‫ﻣﻌﺎﺩﻟﺔ‬ ‫ﺍﻛﺘﺐ‬ . ‫ﺑ‬ ‫ـ‬ - ‫ﺃﻧﺸﺊ‬ ‫ﺍﻟﺘﻔﺎﻋﻞ‬ ‫ﺗﻘﺪﻡ‬ ‫ﺟﺪﻭﻝ‬ . ‫ﺟ‬ ‫ـ‬ - ‫ﺇ‬ ‫ﺍﻟﺒﻴﺎﻥ‬ ‫ﻋﻠﻰ‬ ‫ﻋﺘﻤﺎﺩﺍ‬ ( ) b f V V : - ‫ﺍﻟﻤﻮﻟﻲ‬ ‫ﺍﻟﺘﺮﻛﻴﺰ‬ ‫ﻗﻴﻤﺔ‬ ‫ﺃﻥ‬ ‫ﺗﺄﻛﺪ‬ 2 2 10 c mol L . - ‫ﺇ‬ ‫ﺍﻟﺘﻜﺎﻓﺆ‬ ‫ﺣﺠﻢ‬ ‫ﺳﺘﻨﺘﺞ‬ bE V ‫ﺍﻟﻤﻮﻟﻲ‬ ‫ﺍﻟﺘﺮﻛﻴﺰ‬ ‫ﻗﻴﻤﺔ‬ ‫ﺍﺣﺴﺐ‬ ‫ﺛﻢ‬ b c ‫ﻟﻠﻤﺤﻠﻮﻝ‬
  • 32. b S . 3 - ‫ﺃ‬ ‫ﺍﻟﻨﻮﻋﻴﺔ‬ ‫ﺍﻟﻨﺎﻗﻠﻴﺔ‬ ‫ﻗﻴﻤﺔ‬ ‫ﺣﺴﺐ‬ E V ‫ﺍﻟﺘﻜﺎﻓﺆ‬ ‫ﻧﻘﻄﺔ‬ ‫ﻋﻨﺪ‬ ‫ﺍﻟﺘﻔﺎﻋﻠﻲ‬ ‫ﻟﻠﻤﺰﻳﺞ‬ . 4 - ‫ﺃ‬ - ‫ﺍﻟﻤﻮﻟﻲ‬ ‫ﺍﻟﺘﺮﻛﻴﺰ‬ ‫ﻗﻴﻤﺔ‬ ‫ﺟﺪ‬ 0 c ‫ﻟﻠﻤﺤﻠﻮﻝ‬
  • 33. 0 S . ‫ﺑ‬ ‫ـ‬ - ‫ﺇ‬ ‫ﺍﻟﻨﻘﺎﻭﺓ‬ ‫ﺩﺭﺟﺔ‬ ‫ﻗﻴﻤﺔ‬ ‫ﺳﺘﻨﺘﺞ‬ P . ‫ﺍﻟﻤﻌﻄﻴﺎﺕ‬ : 2 1 2 1 3 2 1 2 1 ( ) 7,63 . . ( ) 35 . . ( ) 19,2 . . ( ) 5,01 . . Cl ms m mol H O ms m mol OH ms m mol Na ms m mol O O O O III - ‫ﺍﻟﺜﺎﻧﻲ‬ ‫ﺍﻟﻔﻮﺝ‬ : ‫ﻛﻠ‬ ‫ﺣﻤﺾ‬ ‫ﺑﻴﻦ‬ ‫ﻭﺍﻟﺒﻄﻴﺊ‬ ‫ﺍﻟﺘﺎﻡ‬ ‫ﻟﻠﺘﺤﻮﻝ‬ ‫ﺍﻟﺰﻣﻨﻴﺔ‬ ‫ﺑﺎﻟﻤﺘﺎﺑﻌﺔ‬ ‫ﺍﻟﺘﻼﻣﻴﺬ‬ ‫ﻗﺎﻡ‬ ‫ﻮ‬ ‫ﺍﻟﺰﻧﻚ‬ ‫ﻭﻣﻌﺪﻥ‬ ‫ﺍﻟﻤﺎء‬ ‫ﺭ‬ ( ) s Zn ‫ﺍﻟﺘ‬ ‫ﺑﻤﻌﺎﺩﻟﺔ‬ ‫ﺍﻟﻤﻨﻤﺬﺝ‬ ‫ﻔﺎﻋﻞ‬ ‫ﺍﻟﺘﺎﻟﻴﺔ‬ : 2 ( ) 3 ( ) ( ) 2( ) 2 ( ) 2 2 s aq aq g l Zn H O Zn H H O - ‫ﻗﺪﺭﻩ‬ ‫ﺣﺠﻤﺎ‬ ‫ﺍﻷﻭﻝ‬ ‫ﺍﻟﺘﻠﻤﻴﺬ‬ ‫ﺃﺧﺬ‬ ‫ﻣﺺ‬ ‫ﺑﺈﺟﺎﺻﺔ‬ ‫ﻣﺰﻭﺩﺓ‬ ‫ﻣﺎﺻﺔ‬ ‫ﺑﻮﺍﺳﻄﺔ‬ 200 V mL c ‫ﺍﻟﻤﺤﻠﻮﻝ‬ ‫ﻣﻦ‬
  • 34. 2 S ‫ﺗﺮﻛﻴﺰﻩ‬ ‫ﺍﻟﻤﻮﻟﻲ‬ 2 c ‫ﺣﻮﺟﻠﺔ‬ ‫ﻓﻲ‬ ‫ﺳﻜﺒﻪ‬ ‫ﺛﻢ‬ . - ‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻓﻲ‬ 0 t ‫ﺍﻟﺘﻠﻤﻴﺬ‬ ‫ﻗﺎﻡ‬ ‫ﺍﻟ‬ ‫ﻛﺘﻠﺘﻪ‬ ‫ﺍﻟﻨﻘﻲ‬ ‫ﺍﻟﺰﻧﻚ‬ ‫ﻣﻦ‬ ‫ﺻﻔﻴﺤﺔ‬ ‫ﺑﺈﺿﺎﻓﺔ‬ ‫ﺜﺎﻧﻲ‬
  • 35. 0 m Zn ‫ﺇﻟﻰ‬ ‫ﺍﻟﺴﺎﺑﻘﺔ‬ ‫ﺍﻟﺤﻮﺟﻠﺔ‬ ، ‫ﻭﺍﻋﺘﻤﺎﺩﺍ‬ ‫ﺍﻟﺰﻣﻦ‬ ‫ﺑﺪﻻﻟﺔ‬ ‫ﺍﻟﻤﺘﺒﻘﻲ‬ ‫ﺍﻟﺰﻧﻚ‬ ‫ﻛﺘﻠﺔ‬ ‫ﻟﺘﻐﻴﺮﺍﺕ‬ ‫ﺍﻟﺒﻴﺎﻧﻲ‬ ‫ﺍﻟﻤﻨﺤﻨﻰ‬ ‫ﺑﺮﺳﻢ‬ ‫ﺛﺎﻟﺚ‬ ‫ﺗﻠﻤﻴﺬ‬ ‫ﻗﺎﻡ‬ ‫ﺍﻟﺘﺠﺮﻳﺒﻴﺔ‬ ‫ﺍﻟﻨﺘﺎﺋﺞ‬ ‫ﻋﻠﻰ‬ ( ) Zn m g t ‫ﺍﻟﺸﻜﻞ‬ ‫ﻓﻲ‬ ‫ﻣﻮﺿﺢ‬ ‫ﻫﻮ‬ ‫ﻛﻤﺎ‬ - 5 - . 1 - ‫ﺃ‬ - ‫ﺃﻧﺸﺊ‬ ‫ﺍﻟﺘﻔﺎﻋﻞ‬ ‫ﺗﻘﺪﻡ‬ ‫ﺟﺪﻭﻝ‬ . ‫ﺑـ‬ - ‫ﻗﻴﻤﺔ‬ ‫ﺍﺳﺘﻨﺘﺞ‬
  • 36. 0 m Zn . ‫ﺟ‬ ‫ـ‬ - ‫ﺍﻷﻋﻈﻤﻲ‬ ‫ﺍﻟﺘﻘﺪﻡ‬ ‫ﻭﻗﻴﻤﺔ‬ ‫ﺍﻟﻤﺤﺪ‬ ‫ﺍﻟﻤﺘﻔﺎﻋﻞ‬ ‫ﺣﺪﺩ‬ max x ‫ﺩ‬ - ‫ﺍﻟﻤﻮﻟﻲ‬ ‫ﺍﻟﺘﺮﻛﻴﺰ‬ ‫ﻗﻴﻤﺔ‬ ‫ﺟﺪ‬ 2 c . 2 - ‫ﻋﻨﺪ‬ ‫ﺃﻧﻪ‬ ‫ﺑﻴﻦ‬ 1 2 t t ‫ﻧﻜﺘﺐ‬ ݉୞୬ሺ–ଵ ଶ ൗ ሻ ‫ﺍﻟﺸﻜﻞ‬ ‫ﻋﻠﻰ‬ :
  • 37.
  • 38. 0 1 2 ( ) 2 f Zn m Zn m Zn m t ‫ﻗﻴﻤﺔ‬ ‫ﺟﺪ‬ ‫ﺛﻢ‬ 1 2 t . ‫ﺣﻴﺚ‬
  • 39. f m Zn ‫ﺍﻟﻨﻬﺎﺋﻴﺔ‬ ‫ﺍﻟﺤﺎﻟﺔ‬ ‫ﻓﻲ‬ ‫ﺍﻟﺰﻧﻚ‬ ‫ﻛﺘﻠﺔ‬ . ‫ﺻﻔﺤﺔ‬ 8 ‫ﻣﻦ‬ 10 e e e d u c a t i o n . c o m / e x a m s ‫ﺟ‬ ‫ﺟ‬ ‫ـ‬ ‫ـ‬‫ﺟ‬ ‫ﺟ‬ ‫ﺟ‬ - ‫ﺇ‬ ‫ﻋ‬ - ‫ﻗ‬ ‫ﺃﻥ‬ ‫ﺗﺄﻛﺪ‬ ‫ﺗﺄﻛ‬ - - ‫ﺇ‬ ‫ﺇ‬ ‫ﺣﺠﻢ‬ ‫ﺳﺘﻨﺘﺞ‬ ‫ﺳﺘﻨﺘﺞ‬ ‫ﺍﻟﻨﻮﻋ‬ ‫ﺍﻟﻨﺎﻗﻠﻴﺔ‬ ‫ﻗﻴﻤﺔ‬ ‫ﺣﺴﺐ‬ ‫ﺍﻟﻨﺎﻗﻠﻴﺔ‬ ‫ﻗﻴﻤﺔ‬ ‫ﺍﻟﻤﻮﻟﻲ‬ ‫ﺍﻟﺘﺮﻛﻴﺰ‬ ‫ﻤﺔ‬ ‫ﺍﻟﻤﻮﻟﻲ‬ ‫ﺮﻛﻴﺰ‬ 0 c ‫ﺍﻟﻨﻘﺎﻭﺓ‬ ‫ﺩﺭﺟﺔ‬ ‫ﺔ‬ ‫ﺍﻟﻨﻘﺎﻭﺓ‬ ‫ﺔ‬ P P . . 3 1 ( ) ( ) 3 . ( ) ( ( ) 35 ( ) 3 . ( ) 5 ( ) ( ( . ( ( 1 1 1 1 ( ) ( ) ( ( ) ( ( ( t ‫ﻛﻠ‬ ‫ﺣﻤﺾ‬ ‫ﺑﻴﻦ‬ ‫ﻄﻴﺊ‬ ‫ﻛﻠ‬ ‫ﺣﻤﺾ‬ ‫ﻴﻦ‬ ‫ﻠﻮ‬ ‫ﺍ‬ ‫ﺭ‬ 2 q g q ( ) 2( ) 2 ( ) 2( ) ) 2( H H O 2 2 2 2 ( ) 2( ) 2 ( ) 2( ) ) 2( 2 ( ) 2( ) ( ) 2( ) ) 2( ‫ﻗﺪﺭﻩ‬ ‫ﺣﺠﻤﺎ‬ ‫ﻗﺪﺭﻩ‬ ‫ﺎ‬ 200 0mL mL 200 0 ‫ﻛﺘﻠﺘﻪ‬ ‫ﻘﻲ‬ ‫ﺘﻠﺘﻪ‬
  • 40.
  • 41. 0 m Zn m Zn 0 ‫ﺇﻟﻰ‬ ‫ﻰ‬ ‫ﺍﻟﺰ‬ ‫ﺑﺪﻻﻟﺔ‬ ‫ﺍﻟﻤﺘﺒﻘﻲ‬ ‫ﺍﻟﺰﻧﻚ‬ ‫ﺑﺪﻻ‬ ‫ﺍﻟﻤﺘﺒﻘﻲ‬ ‫ﻧﻚ‬ e d e d e 3as.ency-education.com
  • 42. 3 - ‫ﺃ‬ ‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻋﻨﺪ‬ ‫ﺍﻟﺘﻔﺎﻋﻞ‬ ‫ﺳﺮﻋﺔ‬ ‫ﺣﺴﺐ‬ 0 t . 4 - ‫ﺃ‬ - ‫ﺍﻟﻤﻮﻟﻲ‬ ‫ﺍﻟﺘﺮﻛﻴﺰ‬ ‫ﻗﻴﻤﺔ‬ ‫ﺟﺪ‬ 0 c ‫ﻟﻠﻤﺤﻠﻮﻝ‬
  • 43. 0 S . ‫ﺑـ‬ - ‫ﺍﻟﻨﻘﺎﻭﺓ‬ ‫ﺩﺭﺟﺔ‬ ‫ﻗﻴﻤﺔ‬ ‫ﺍﺳﺘﻨﺘﺞ‬ P . 5 - ‫ﺍﻟﻨﻘﺎﻭﺓ‬ ‫ﺩﺭﺟﺔ‬ ‫ﻗﻴﻤﺔ‬ ‫ﺑﻴﻦ‬ ‫ﻗﺎﺭﻥ‬ P ‫ﻓﻮﺝ‬ ‫ﻟﻜﻞ‬ , ‫ﺍﻟﻘﺎﺭﻭﺭﺓ‬ ‫ﻋﻠﻰ‬ ‫ﺍﻟﻤﺪﻭﻧﺔ‬ ‫ﺍﻟﻘﻴﻤﺔ‬ ‫ﻣﻊ‬ ‫ﻗﺎﺭﻧﻬﺎ‬ ‫ﺛﻢ‬ , ‫؟‬ ‫ﺗﺴﺘﻨﺘﺞ‬ ‫ﻣﺎﺫﺍ‬ ‫ﻳﻌﻄﻰ‬ : ‫ﺍﻟﺰﻧﻚ‬ ‫ﻟﻤﻌﺪﻥ‬ ‫ﺍﻟﻤﻮﻟﻴﺔ‬ ‫ﺍﻟﻜﺘﻠﺔ‬ ( ) 65,4 M Zn g mol ‫ﺍﻟﺜﺎﻧﻲ‬ ‫ﺍﻟﺠﺰء‬ ) : 07 ‫ﻧﻘﺎﻁ‬ ( ‫ﺍﻟﺘﺠﺮﻳﺒﻲ‬ ‫ﺍﻟﺘﻤﺮﻳﻦ‬ : ) 07 ‫ﻧﻘﺎﻁ‬ ( ‫ﻣﻦ‬ ‫ﺗﺘﻜﻮﻥ‬ ‫ﻛﻬﺮﺑﺎﺋﻴﺔ‬ ‫ﻋﻨﺎﺻﺮ‬ ‫ﻋﻠﻰ‬ ‫ﺍﻟﻜﻬﺮﺑﺎﺋﻴﺔ‬ ‫ﺍﻷﺟﻬﺰﺓ‬ ‫ﻣﻦ‬ ‫ﻣﺠﻤﻮﻋﺔ‬ ‫ﺗﺤﺘﻮﻱ‬ ‫ﺃﻭﻣﻴﺔ‬ ‫ﻧﻮﺍﻗﻞ‬ ‫ﻭ‬ ‫ﻣﻜﺜﻔﺎﺕ‬ ‫ﻭ‬ ‫ﻭﺷﺎﺋﻊ‬ , ‫ﺗﺨﺘﻠﻒ‬ ‫ﺍﺳﺘﻌﻤﺎﻻﺗﻬ‬ ‫ﻭﻣﺠﺎﻻﺕ‬ ‫ﺗﺮﻛﻴﺒﻬﺎ‬ ‫ﻛﻴﻔﻴﺔ‬ ‫ﺣﺴﺐ‬ ‫ﺍﻟﻌﻨﺎﺻﺮ‬ ‫ﻫﺬﻩ‬ ‫ﻭﻅﻴﻔﺔ‬ ‫ﺎ‬ . I - ‫ﺍﻟﻘﻄﺐ‬ ‫ﺛﻨﺎﺋﻲ‬ ‫ﺩﺭﺍﺳﺔ‬ RL : ‫ﺍﻟﺸﻜﻞ‬ ‫ﺍﻟﻤﻘﺎﺑﻞ‬ ‫ﺍﻟﺘﺠﺮﻳﺒﻲ‬ ‫ﺍﻟﺘﺮﻛﻴﺐ‬ ‫ﻧﻨﺠﺰ‬ - 6 - ‫ﻭﺍﻟﻤ‬ ‫ﻜﻮﻥ‬ ‫ﻣﻦ‬ : ‫ﻭﺷﻴﻌﺔ‬ ‫ـ‬ ( ) b ‫ﺫﺍﺗ‬ ‫ﻴ‬ ‫ﺘﻬﺎ‬ L ‫ﺍﻟﺪﺍﺧﻠﻴﺔ‬ ‫ﻭﻣﻘﺎﻭﻣﺘﻬﺎ‬ r . ‫ﺍﻟﻜﻬﺮﺑﺎﺋﻴﺔ‬ ‫ﺍﻟﻤﺤﺮﻛﺔ‬ ‫ﻗﻮﺗﻪ‬ ‫ﻛﻬﺮﺑﺎﺋﻲ‬ ‫ﺪ‬ّ‫ﻣﻮﻟ‬ ‫ـ‬ E 12V ‫ﻣﻬﻤﻠﺔ‬ ‫ﺍﻟﺪﺍﺧﻠﻴﺔ‬ ‫ﻣﻘﺎﻭﻣﺘﻪ‬ ‫ﻭ‬ . ‫ﻣﻘﺎﻭﻣﺘﻪ‬ ‫ﺃﻭﻣﻲ‬ ‫ﻧﺎﻗﻞ‬ ‫ـ‬ ܴଵ ൌ ͷʹߗ . ‫ﻗﺎﻁﻌﺔ‬ ‫ـ‬ K . ‫ﺍﻟﻘﺎﻁﻌﺔ‬ ‫ﻧﻐﻠﻖ‬ K ‫ﻟﺤﻈﺔ‬ ‫ﻓﻲ‬ 0 t . ‫ﺍﻟﺘﻮﺗﺮ‬ ‫ﻟﺘﻐﻴﺮﺍﺕ‬ ‫ﺍﻟﻤﻤﺜﻞ‬ ‫ﺍﻟﻤﻨﺤﻨﻰ‬ ‫ﺭﺳﻢ‬ ‫ﻣﻦ‬ ‫ﻣﻌﻠﻮﻣﺎﺗﻲ‬ ‫ﻟﻨﻈﺎﻡ‬ ‫ﻳﻤﻜﻦ‬ 1 ( ) R u t ‫ﺑﻴﻦ‬ ‫ﺍﻟﺸﻜﻞ‬ ‫ﺍﻷﻭﻣﻲ‬ ‫ﺍﻟﻨﺎﻗﻞ‬ ‫ﻁﺮﻓﻲ‬ - 7 - . ‫ﺍﻟﻤﺴﺘﻘﻴﻢ‬ ‫ﻳﻤﺜﻞ‬
  • 44. T ‫ﻋﻨﺪ‬ ‫ﻟﻠﻤﻨﺤﻨﻰ‬ ‫ﺍﻟﻤﻤﺎﺱ‬ 0 t . 1 - ‫ﺃﻭﺟﺪ‬ ‫ﺍﻟﺘﻮﺗﺮ‬ ‫ﻳﺤﻘﻘﻬﺎ‬ ‫ﺍﻟﺘﻲ‬ ‫ﺍﻟﺘﻔﺎﺿﻠﻴﺔ‬ ‫ﺍﻟﻤﻌﺎﺩﻟﺔ‬ 1 R u ‫ﺍﻷﻭﻣﻲ‬ ‫ﺍﻟﻨﺎﻗﻞ‬ ‫ﻁﺮﻓﻲ‬ ‫ﺑﻴﻦ‬ . 2 - ‫ﺃﻭﺟﺪ‬ ‫ﺍﻟﺰﻣﻦ‬ ‫ﺛﺎﺑﺖ‬ ‫ﻗﻴﻤﺔ‬ W ‫ﺍﻟﺰﻣﻦ‬ ‫ﻣﻊ‬ ‫ﻣﺘﺠﺎﻧﺲ‬ ‫ﺍﻧﻪ‬ ‫ﺑﻴﻦ‬ ‫ﺛﻢ‬ . 3 - ‫ﻣﻦ‬ ‫ﻛﻞ‬ ‫ﻗﻴﻤﺔ‬ ‫ﺣﺪﺩ‬ r ‫ﻭ‬ L . 4 - ‫ﺍﻟﻌﻈﻤﻰ‬ ‫ﺍﻟﺘﻴﺎﺭ‬ ‫ﺷﺪﺓ‬ ‫ﺍﺣﺴﺐ‬ 0 I ‫ﻣﺨﺘﻠﻔﺘﻴﻦ‬ ‫ﺑﻄﺮﻗﺘﻴﻦ‬ . II - ‫ﺍﻟﻘﻄﺐ‬ ‫ﺛﻨﺎﺋﻲ‬ ‫ﺩﺭﺍﺳﺔ‬ RC ‫ﻭ‬ RLC ‫ﺍﻟﺘﺮﻛﻴ‬ ‫ﻧﻨﺠﺰ‬ ‫ﺐ‬ ‫ﺍﻟﺸﻜﻞ‬ ‫ﻓﻲ‬ ‫ﺍﻟﻤﻤﺜﻞ‬ - 8 - ‫ﻣﻦ‬ ‫ﻭﺍﻟﻤﻜﻮﻥ‬ : - ‫ﺛﺎﺑﺖ‬ ‫ﺗﻴﺎﺭ‬ ‫ﻣﻮﻟﺪ‬ - ‫ﻣﺘﺮ‬ ‫ﺍﻷﻣﺒﻴﺮ‬ ‫ﺟﻬﺎﺯ‬ - ‫ﻣﻘﺎﻭﻣﺘﺎﻫﻤﺎ‬ ‫ﺃﻭﻣﻴﻴﻦ‬ ‫ﻧﺎﻗﻠﻴﻦ‬ 0 R ‫ﻭ‬ 40 R : - ‫ﺳﻌﺘﻬﺎ‬ ‫ﻣﻜﺜﻔﺔ‬ C ‫ﻣﺸﺤﻮﻧﺔ‬ ‫ﻏﻴﺮ‬ - ‫ﺍﻟﻮﺷﻴﻌﺔ‬
  • 45. b ‫ﺍﻟﺴﺎﺑﻘﺔ‬ - ‫ﻗﺎﻁﻌﺘﻴﻦ‬ 1 K ‫ﻭ‬ 2 K II - 1 - ‫ﺍﻟﻘﻄﺐ‬ ‫ﺛﻨﺎﺋﻲ‬ ‫ﺩﺭﺍﺳﺔ‬ RC : ‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻋﻨﺪ‬ 0 t ‫ﺍﻟﻘﺎﻁﻌﺔ‬ ‫ﻧﻐﻠﻖ‬ 1 K ‫ﺍﻟﻘﺎﻁﻌﺔ‬ ‫ﻭﻧﺘﺮﻙ‬ 2 K ‫ﻣﻔﺘﻮﺣﺔ‬ ‫ﺻﻔﺤﺔ‬ 9 ‫ﻣﻦ‬ 10 e n c y - e d u c a t i o n . c o m / e x a m s ‫ﻳﻌﻄﻰ‬ ‫ﻳﻌ‬ m ‫ﺍﻟﺜﺎﻧﻲ‬ ‫ﺍﻟﺠﺰء‬ ‫ﺍﻟﺜﺎﻧﻲ‬ ‫ﻟﺠﺰء‬ ) : 7 ‫ﺍﻟﺘﺠﺮﻳﺒﻲ‬ ‫ﻤﺮﻳﻦ‬ ‫ﺍﻟﺘﺠﺮﻳﺒﻲ‬ : ) ) 07 ‫ﺍﻟﻜﻬ‬ ‫ﺍﻷﺟﻬﺰﺓ‬ ‫ﻣﻦ‬ ‫ﺠﻤﻮﻋﺔ‬ ‫ﺍﻟ‬ ‫ﺍﻷﺟﻬﺰﺓ‬ ‫ﻣﻦ‬ ‫ﺔ‬ ‫ﺗﺮﻛ‬ ‫ﻛﻴﻔﻴﺔ‬ ‫ﺣﺴﺐ‬ ‫ﻌﻨﺎﺻﺮ‬ ‫ﻛﻴﻔﻴﺔ‬ ‫ﺣﺴﺐ‬ ‫ﺻﺮ‬ ‫ﻄﺐ‬ RL L : : ‫ﺍﻟﺸﻜﻞ‬ ‫ﺑﻞ‬ ‫ﺸﻜﻞ‬ - 6 -6 - ‫ﻭﺍﻟﻤ‬ ‫ﻭﺍﻟﻤ‬ ‫ﻤﻜﻮﻥ‬ ‫ﺍﻟﺪﺍﺧﻠﻴﺔ‬ ‫ﻬﺎ‬ ‫ﺍﺧﻠﻴﺔ‬ r . ‫ﺎﺋﻴﺔ‬ E 12V 12V ‫ﻣﻘﺎﻭﻣ‬ ‫ﻭ‬ ‫ﻭ‬ ‫ﺍﻟﻤﻨﺤﻨﻰ‬ ‫ﺭﺳﻢ‬ ‫ﻣﻦ‬ ‫ﻣﺎﺗﻲ‬ ‫ﺍﻟﻤﻨ‬ ‫ﺭﺳﻢ‬ ‫ﻣﻦ‬ ‫ﻲ‬ ‫ﻋﻨﺪ‬ ‫ﻟﻠﻤﻨﺤﻨﻰ‬ ‫ﻤﺎﺱ‬ ‫ﻋﻨﺪ‬ ‫ﻟﻠﻤﻨﺤﻨﻰ‬ 0 n c y - e d u c a n c y - e d u c a e n c e n c y 3as.ency-education.com
  • 46. ‫ﺍﻟﺸﺪﺓ‬ ‫ﺇﻟﻰ‬ ‫ﻣﺘﺮ‬ ‫ﺍﻷﻣﺒﻴﺮ‬ ‫ﺟﻬﺎﺯ‬ ‫ﻓﻴﺸﻴﺮ‬ 0 4 I A P , ‫ﻣﻌﻠﻮﻣﺎﺗﻲ‬ ‫ﻟﻨﻈﺎﻡ‬ ‫ﻳﻤﻜﻦ‬ ‫ﺍﻟﺘﻮﺗﺮ‬ ‫ﻟﺘﻐﻴﺮﺍﺕ‬ ‫ﺍﻟﻤﻤﺜﻞ‬ ‫ﺍﻟﻤﻨﺤﻨﻰ‬ ‫ﺭﺳﻢ‬ ‫ﻣﻦ‬ ( ) AB u t ‫ﺍﻟﺸﻜﻞ‬ - 9 - 1 - ‫ﻗﻴﻤﺔ‬ ‫ﺣﺪﺩ‬ 0 R . 2 - ‫ﺃﻭﺟﺪ‬ ‫ﺍﻟﺴﻌﺔ‬ ‫ﻗﻴﻤﺔ‬ C ‫ﻟﻠﻤﻜﺜﻔﺔ‬ . II - 2 - ‫ﺍﻟﻘﻄﺐ‬ ‫ﺛﻨﺎﺋﻲ‬ ‫ﺩﺭﺍﺳﺔ‬ RLC : ‫ﺍﻟﻘﻴﻤﺔ‬ ‫ﺍﻟﻤﻜﺜﻔﺔ‬ ‫ﻁﺮﻓﻲ‬ ‫ﺑﻴﻦ‬ ‫ﺍﻟﺘﻮﺗﺮ‬ ‫ﻳﺄﺧﺬ‬ ‫ﻋﻨﺪﻣﺎ‬ 0 C u U ‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻋﻨﺪ‬ 0 t ‫ﺍﻟﻘﺎﻁﻌﺔ‬ ‫ﻧﻔﺘﺢ‬ 1 K ‫ﺍﻟﻘﺎﻁﻌﺔ‬ ‫ﻭﻧﻐﻠﻖ‬ 2 K ‫ﻟﺘﻐﻴﺮﺍﺕ‬ ‫ﺍﻟﻤﻤﺜﻞ‬ ‫ﺍﻟﻤﻨﺤﻨﻰ‬ ‫ﺭﺳﻢ‬ ‫ﻣﻦ‬ ‫ﻣﻌﻠﻮﻣﺎﺗﻲ‬ ‫ﻟﻨﻈﺎﻡ‬ ‫ﻳﻤﻜﻦ‬ ‫ﺍﻟﺘﻮﺗﺮ‬ ( ) R u t ) ‫ﺍﻟﺸﻜﻞ‬ - 10 - ( , ‫ﺍﻟﻤﺴﺘﻘﻴﻢ‬ ‫ﻳﻤﺜﻞ‬
  • 47. 1 T ‫ﺍﻟﻤﻤﺎﺱ‬ ‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻋﻨﺪ‬ ‫ﻟﻠﻤﻨﺤﻨﻰ‬ 0 t . 1 - ‫ﺃﻭﺟﺪ‬ ‫ﺍﻟﻤﻜﺜﻔﺔ‬ ‫ﺍﻟﺸﺤﻨﺔ‬ ‫ﺗﺤﻘﻘﻬﺎ‬ ‫ﺍﻟﺘﻲ‬ ‫ﺍﻟﺘﻔﺎﺿﻠﻴﺔ‬ ‫ﺍﻟﻤﻌﺎﺩﻟﺔ‬ ( ) q t . 2 - ‫ﺍ‬ ‫ﻧﻮﻉ‬ ‫ﻣﺎ‬ ‫ﻹ‬ ‫ﺍﻟﺸﻜﻞ‬ ‫ﻓﻲ‬ ‫ﻋﻠﻴﻬﺎ‬ ‫ﺍﻟﻤﺘﺤﺼﻞ‬ ‫ﺍﻟﻜﻬﺮﺑﺎﺋﻴﺔ‬ ‫ﻫﺘﺰﺍﺯﺍﺕ‬ – 10 ‫؟‬ . 3 - ‫ﺩﻭﺭ‬ ‫ﺍﻟﺸﺒﻪ‬ ‫ﻗﻴﻤﺔ‬ ‫ﺍﻟﺒﻴﺎﻥ‬ ‫ﻣﻦ‬ ‫ﺣﺪﺩ‬ 4 - ‫ﻣﻨﺤﻨﻴﻲ‬ ‫ﻛﻴﻔﻴﺎ‬ ‫ﻣﺜﻞ‬ : ‫ﺃ‬ - ‫ﺍﻟﺰﻣﻦ‬ ‫ﺑﺪﻻﻟﺔ‬ ‫ﺍﻟﺘﻴﺎﺭ‬ ‫ﺷﺪﺓ‬ ‫ﺗﻐﻴﺮﺍﺕ‬ (t) i= f ‫ﺣﺎﻟﺔ‬ ‫ﻓﻲ‬ ‫ﻣﻌﺪﻭﻣﺔ‬ ‫ﺍﻟﺪﺍﺭﺓ‬ ‫ﻣﻘﺎﻭﻣﺔ‬ . ‫ﺑـ‬ - ‫ﻁﺮﻓﻲ‬ ‫ﺑﻴﻦ‬ ‫ﺍﻟﺘﻮﺗﺮ‬ ‫ﺗﻐﻴﺮﺍﺕ‬ ‫ﺍﻟﻤﻜﺜﻔﺔ‬ ‫ﺍﻟﺰﻣﻦ‬ ‫ﺑﺪﻻﻟﺔ‬ (t) UC= f ‫ﻣﻘﺎﻭﻣﺔ‬ ‫ﺣﺎﻟﺔ‬ ‫ﻓﻲ‬ ‫ﺍﻷﻭﻣﻲ‬ ‫ﺍﻟﻨﺎﻗﻞ‬ ‫ﻣﻌﺪﻭﻣﺔ‬ . ‫ﺇ‬ ‫ﺍﻟﻤﻮﺿﻮﻉ‬ ‫ﻧﺘﻬﻰ‬ ‫ﺍﻟﺜﺎﻧﻲ‬ ‫ﺻﻔﺤﺔ‬ 10 ‫ﻣﻦ‬ 10 e n c y - e d u c a t i o n ‫ﺍﻟﻤﻜﺜﻔﺔ‬ ‫ﻜﺜﻔﺔ‬ ( ) ( ) q t q t ( ( . ‫ﺍﻟﺸﻜﻞ‬ ‫ﻓﻲ‬ ‫ﻟﺸﻜﻞ‬ – 10 10 ‫؟‬ ‫؟‬ . ‫ﻣﻌﺪﻭﻣﺔ‬ ‫ﺍﻟﺪﺍﺭﺓ‬ ‫ﻣﺔ‬ ‫ﻣﻌﺪﻭﻣﺔ‬ ‫ﺪﺍﺭﺓ‬ . ‫ﻣﻘﺎﻭﻣﺔ‬ ‫ﺣﺎﻟﺔ‬ ‫ﻓﻲ‬ ‫ﻣﻘﺎﻭﻣﺔ‬ ‫ﺣﺎﻟﺔ‬ ‫ﺍﻟﻨﺎﻗﻞ‬ ‫ﺍﻟﻨﺎ‬ o n o n x a m s ‫ﻳﺄﺧ‬ ‫ﻋﻨﺪﻣﺎ‬ ‫ﻋﻨﺪﻣ‬ ‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻋﻨﺪ‬ ‫ﺍﻟﻠﺤ‬ ‫ﻋﻨﺪ‬ ‫ﻣﻌﻠﻮﻣ‬ ‫ﻟﻨﻈﺎﻡ‬ ‫ﻳﻤﻜﻦ‬ ‫ﻣﻌ‬ ‫ﻟﻨﻈﺎﻡ‬ ‫ﻳﻤﻜﻦ‬ ‫ﺍﻟﺘﻮﺗﺮ‬ ‫ﺗﺮ‬ ( ) ( ) R R u u ( ( R R ) ) ‫ﺍﻟﺸﻜﻞ‬ ‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻋﻨﺪ‬ ‫ﻨﺤﻨﻰ‬ ‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻋﻨﺪ‬ 0 e x a x a 3as.ency-education.com