Studyadz 3as

1. Uc(V)
t(s)
a b
c
t0 t 1
0 1
0,5
‫اﳌﻮﺿﻮﻋ�ن‬ ‫اﺣﺪ‬‫اﺧﺘﻴﺎر‬ ‫اﳌ���ح‬ ��‫ﻋ‬
‫اﻟﻣوﺿ‬
‫ا‬ ‫وع‬
‫ﻷول‬
) ‫اﻷول‬ ‫اﻟﺘﻤرﯿن‬
6
‫ن‬
(
)‫اﻟﺸﻜﻞ‬ ‫ﰲ‬ ‫اﳌﻮﺿﺢ‬ ‫ﻳﱯ‬‫ﺮ‬‫اﻟﺘﺠ‬ ‫ﻛﻴﺐ‬
‫اﻟﱰ‬ ‫ﳓﻘﻖ‬
1
‫اﳌﻜﻮن‬‫و‬ (
:‫ﻣﻦ‬
-
‫ﺛﺎﺑﺘﺔ‬ ‫ﺷﺪﺗﻪ‬ ‫ﺗﻴﺎر‬ ‫ﻟﺪ‬‫ﻮ‬‫ﻣ‬
-
‫ﺑﺎﺋﻴﺔ‬‫ﺮ‬‫اﻟﻜﻬ‬ ‫ﻛﺔ‬
‫اﶈﺮ‬ ‫ﻗﻮﺗﻪ‬ ‫ﺗﻮﺗﺮ‬ ‫ﻟﺪ‬‫ﻮ‬‫ﻣ‬
E
-
‫ﺳﻌﺘﻬﺎ‬ ‫ﻣﺸﺤﻮﻧﺔ‬ ‫ﻏﲑ‬ ‫ﻣﻜﺜﻔﺔ‬
C
‫ﻣﻘﺎوﻣﺘﻪ‬ ‫أوﻣﻲ‬ ‫ﻧﺎﻗﻞ‬ ،
R
‫ﺑﺎدﻟﺔ‬ ،
K
‫اﻟﺒﺎدﻟﺔ‬ ‫ﻳﺢ‬‫ﺰ‬‫ﻧ‬
K
‫ﻣﺮ‬ ‫ﺛﻼث‬
‫ﻣﻬﺒﻄﻲ‬ ‫از‬‫ﺰ‬‫اﻫﺘ‬ ‫اﺳﻢ‬‫ر‬ ‫اﺳﻄﺔ‬‫ﻮ‬‫وﺑ‬ ‫ﻣﺘﺘﺎﻟﻴﺔ‬ ‫ات‬
‫اﻟﺘﻮﺗﺮ‬ ‫ﺗﻄﻮر‬ ‫ﻧﺘﺎﺑﻊ‬ ‫ذاﻛﺮة‬ ‫ذو‬
‫ﻓﻨﺤﺼﻞ‬ ‫اﳌﻜﺜﻔﺔ‬ ‫ﻃﺮﰲ‬ ‫ﺑﲔ‬
) ‫اﻟﺸﻜﻞ‬ ‫ﰲ‬ ‫اﳌﺒﲔ‬ ‫اﳌﻨﺤﲎ‬ ‫ﻋﻠﻰ‬
2
(
1
-
‫ﺟﺰء‬ ‫ﻛﻞ‬‫اﻧﺴﺐ‬
(a),(b),(c)
‫اﻟﺒﺎدﻟﺔ‬ ‫ﺑﻮﺿﻊ‬ ‫ﻋﻠﻴﻪ‬ ‫اﶈﺼﻞ‬ ‫اﻟﺒﻴﺎن‬ ‫ﻣﻦ‬
K
) ‫اﻟﺸﻜﻞ‬ ‫ﰲ‬ ‫ﻟﻪ‬ ‫اﻓﻖ‬‫ﻮ‬‫اﳌ‬
1
‫اﻟﺘﻌﻠﻴﻞ‬ ‫ﻣﻊ‬ (
1
-
‫اﻟﺒﺎدﻟﺔ‬
k
) ‫اﻟﻮﺿﻊ‬ ‫ﰲ‬
1
(
‫أ‬
-
‫اﻟﺒﻴﺎن‬ ‫ﻋﻠﻰ‬ ‫اﻋﺘﻤﺎدا‬
(a)
‫اﳌﻜﺜﻔﺔ‬ ‫ﺳﻌﺔ‬ ‫ﻗﻴﻤﺔ‬ ‫أوﺟﺪ‬
‫ب‬
-
‫اﻟﺸﺤﻦ‬ ‫�ﺎﻳﺔ‬ ‫ﻋﻨﺪ‬ ‫اﳌﻜﺜﻔﺔ‬ ‫ﰲ‬ ‫ﻧﺔ‬‫ﺰ‬‫اﳌﺨ‬ ‫ﺑﺎﺋﻴﺔ‬‫ﺮ‬‫اﻟﻜﻬ‬ ‫اﻟﻄﺎﻗﺔ‬ ‫اﺣﺴﺐ‬
2
-
‫اﻟﺒﺎدﻟﺔ‬
k
‫اﻟﻮﺿﻊ‬ ‫ﰲ‬
(2)
‫اﻟﺸﻌﺒﻴﺔ‬ ‫اﻃﻴﺔ‬‫ﺮ‬‫اﻟﺪﻳﻤﻘ‬ ‫ا�جﺰاﺋﺮ�ﺔ‬ ‫ا�جﻤهﻮر�ﺔ‬
‫اﻟﻮﻃﻨﻴﺔ‬ ‫اﻟ��ﺑﻴﺔ‬ ‫وزارة‬
‫ا�جﺰاﺋﺮ‬ ‫اﻟ��ﺑﻴﺔ‬ ‫ﻣﺪﻳﺮ�ﺔ‬
‫وﺳﻂ‬
‫ﺳﺔ‬‫ر‬‫ﻣﺪ‬
ꞌꞌ
‫ق‬ّ‫واﻟﺘﻔﻮ‬ ‫ﺟﺎء‬ّ‫اﻟﺮ‬
ꞌꞌ
‫ﺔ‬ّ‫ا�خﺎﺻ‬
-
‫يﻌﺔ‬‫ر‬‫ﺑﻮز‬
-
:‫�ﺦ‬‫ر‬‫اﻟﺘﺎ‬
10
/
08
/
2019
:‫اﳌﺪة‬
03
‫ﺳ‬
‫ﺎ‬
‫و‬
30
‫د‬
ّ‫اﳌﺎد‬
:‫ة‬
‫اﻟﻔ��ﻳﺎﺋﻴﺔ‬ ‫اﻟﻌﻠﻮم‬
‫ى‬‫اﳌﺴﺘﻮ‬
:
‫ﺎﻟﺜﺔ‬
َ
‫اﻟﺜ‬
‫ي‬‫ﺛﺎﻧﻮ‬
‫ت‬ ‫ع‬
‫اﻟﺘﺠﺮ��ي‬ ‫�ﺎ‬‫ر‬‫اﻟﺒ�ﺎﻟﻮ‬ ‫اﻣﺘﺤﺎن‬
‫اﻟﺸﻜﻞ‬
1
‫اﻟﺸﻜﻞ‬
2
I0
1
2
R
3
E
C
+
1
/
7
www.ecolerradja.com 0550 92 00 22 / 0561 60 62 09

2. ‫أ‬
-
‫اﳌﻜﺜﻔﺔ‬ ‫ﻃﺮﰲ‬ ‫ﺑﲔ‬ ‫ﺑﺎﺋﻲ‬‫ﺮ‬‫اﻟﻜﻬ‬ ‫اﻟﺘﻮﺗﺮ‬ ‫ﻟﺘﻄﻮر‬ ‫اﻟﺘﻔﺎﺿﻠﻴﺔ‬ ‫اﳌﻌﺎدﻟﺔ‬ ‫أوﺟﺪ‬
‫ب‬
-
‫ﻟﺴﺎﺑ‬ ‫اﻟﺘﻔﺎﺿﻠﻴﺔ‬ ‫اﳌﻌﺎدﻟﺔ‬ ‫ﺣﻞ‬ ‫ان‬
‫اﻟﺸﻜﻞ‬ ‫ﻣﻦ‬ ‫ﻘﺔ‬
‫ﺣﻴﺚ‬
,
‫ﺗﻪ‬‫ر‬‫ﻋﺒﺎ‬ ‫ﺗﻌﻴﲔ‬ ‫ﻳﻄﻠﺐ‬ ‫ﺛﺎﺑﺖ‬
‫ـ‬‫ﺟ‬
-
‫أن‬ ّ
‫ﺑﲔ‬
: ‫ﺑﺎﻟﻌﺒﺎرة‬ ‫ﻳﻌﻄﻰ‬
‫اﺣﺴﺒﻪ‬ ‫ﰒ‬
‫د‬
-
‫اﻷوﻣﻲ‬ ‫اﻟﻨﺎﻗﻞ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻴﻤﺔ‬ ‫اﺳﺘﻨﺘﺞ‬
R
‫ـ‬‫ﻫ‬
-
‫اﻟﻠﺤﻈﺘﲔ‬ ‫ﺑﲔ‬ ‫اﻟﺪارة‬ ‫ﰲ‬ ‫ﺟﻮل‬ ‫ﺑﻔﻌﻞ‬ ‫اﻟﻀﺎﺋﻌﺔ‬ ‫اﻟﻄﺎﻗﺔ‬ ‫ﻗﻴﻤﺔ‬ ‫اوﺟﺪ‬
3
-
‫ﰲ‬ ‫اﻟﺒﺎدﻟﺔ‬
) ‫اﻟﻮﺿﻊ‬
3
(
‫أ‬
-
‫اﳌﻜﺜﻔﺔ‬ ‫ﺷﺤﻨﺔ‬ ‫ﻟﺘﻄﻮر‬ ‫اﻟﺘﻔﺎﺿﻠﻴﺔ‬ ‫اﳌﻌﺎدﻟﺔ‬ ‫ﺟﺪ‬
‫ب‬
-
: ‫اﻟﺸﻜﻞ‬ ‫ﻣﻦ‬ ‫اﻟﺘﻔﺎﺿﻠﻴﺔ‬ ‫اﳌﻌﺎدﻟﺔ‬ ‫ﺣﻞ‬ ‫ﻳﻌﻄﻰ‬
: ‫أن‬ ّ
‫ﺑﲔ‬
‫اﻟ‬ ‫اﻟﺘﻤرﯿن‬
‫ﺜﺎﻨﻲ‬
)
7
(‫ن‬
-
‫ا�ر�ﺔ‬ ‫ﻋﻨﺪ‬ ‫ﺧﻮذة‬ٔ‫أ‬‫ﻣ‬ ‫اﶈﺎﻟﯿﻞ‬ ‫ﲨﯿﻊ‬
25 C

‫لﻠﲈء‬ ‫اﻟﺸﺎردي‬ ‫اﳉﺪاء‬ ‫و‬ ،
14
10
Ke −
=
.
-
‫ﲪﻀﯿﲔ‬ ‫ﻟﲔ‬‫ﻮ‬‫ﳏﻠ‬ ‫�ﲆ‬ ‫ﻧﺘﻮﻓﺮ‬
‫ﳍﲈ‬
،‫�ﺑﺘﺪاﰄ‬ ‫اﳌﻮﱄ‬ ‫اﻟﱰﻛﲒ‬ ‫ﻧﻔﺲ‬
CA
‫اﳌﺎء‬ ‫ﳇﻮر‬ ‫ﲪﺾ‬ ‫ﳏﻠﻮل‬ ‫ﻫﲈ‬ ‫و‬
،( ‫ﻗﻮي‬ ‫ﲪﺾ‬ )
(
‫ﯾﻚ‬‫ﻮ‬‫ﻧ‬‫ﺎ‬‫ٕﯾﺜ‬‫ﻻ‬‫ا‬ ‫ﲪﺾ‬ ‫ﳏﻠﻮل‬ ‫و‬
CH3COOH
.
-
‫ﲩﲈ‬ ، ‫�ﺪى‬ ‫�ﲆ‬ ‫ﻧﻌﺎ�ﺮ‬
VA=10ml
‫اﻟﺼﻮدﯾﻮم‬ ‫�ﯿﺪ‬‫ﺴ‬�‫ﻫﯿﺪرو‬ ‫ﲟ�ﻠﻮل‬ ‫ﳏﻠﻮل‬ ‫ﰻ‬ ‫ﻣﻦ‬
(
‫�ﺮﻛﲒﻩ‬ ( ‫ﻗﻮي‬ ‫ﺳﺎس‬ٔ‫أ‬ )
‫اﳌﻮﱄ‬
CB=0.01mol/l
‫اﻟـ‬ ‫ﲜﻬﺎز‬ ‫ﻧﺔ‬‫ﺎ‬‫�ﺘﻌ‬‫ﺳ‬‫�ﻻ‬ ،
PH
‫ﺗﻄﻮر‬ ‫ﻣتﺎﺑﻌﺔ‬ ‫ﻣﻦ‬ ‫ﲤﻜنﺎ‬ ‫ﻣﱰ‬
PH
‫اﳊﺠﻢ‬ �‫ﺑﺪﻻ‬ ‫ﺗﻔﺎ�ﲇ‬ ‫وﺳﻂ‬ ‫ﰻ‬
VB
) ‫ﻨﺤﻨﯿﲔ‬‫ﳌ‬‫ا‬ ‫رﰟ‬ ‫ﻣﻦ‬ ‫ﲤﻜنﺎ‬ ‫�ﺒﺔ‬‫ﺳ‬‫ﻣنﺎ‬ ‫ﺑﱪﳎﯿﺔ‬ ‫و‬ ، ‫اﳌﻀﺎف‬
1
)‫و‬ (
2
‫اﻟﺸﲁ‬ ‫ﰲ‬ ‫اﳌﻤﺜﻠﲔ‬ (
-
1
-
1
)‫اﳌﻨﺤﲏ‬ ‫ن‬ٔ‫أ‬ ‫ﺑﲔ‬ ‫ـ‬ ٔ‫أ‬ ‫ـ‬
2
‫ﳏﻠﻮل‬ ‫ﻣﻌﺎ�ﺮة‬ ‫اﻓﻖ‬‫ﻮ‬‫ﯾ‬ (
. ‫اﳌﺎء‬ ‫ﳇﻮر‬ ‫ﲪﺾ‬
‫ﻛ‬ٔ‫أ‬ ‫ـ‬ ‫ب‬
. ‫اﳌﻌﺎ�ﺮة‬ ‫ﻟﻬﺬﻩ‬ ‫اﻓﻘﺔ‬‫ﻮ‬‫اﳌ‬ ‫اﻟﺘﻔﺎ�ﻞ‬ �‫ﻣﻌﺎد‬ ‫ﺘﺐ‬
) ‫اﳌﻨﺤﲏ‬ ‫�ﺘﻐﻼل‬‫ﺳ‬� ‫ـ‬ ‫ﺟـ‬
2
‫اﻟﱰﻛﲒ‬ ‫ﳰﺔ‬‫ﻗ‬ ‫�ﺪ‬ (
CA
.
2
. ‫ﺿﻌﯿﻒ‬ ‫ﯾﻚ‬‫ﻮ‬‫ﻧ‬‫ﺎ‬‫ٕﯾﺜ‬‫ﻻ‬‫ا‬ ‫ﲪﺾ‬ ‫ن‬ٔ‫أ‬ ‫ﺑﲔ‬ ‫ـ‬
3
.‫اﳌﺎء‬ ‫ﻣﻊ‬ ‫ﯾﻚ‬‫ﻮ‬‫ﻧ‬‫ﺎ‬‫ٕﯾﺜ‬‫ﻻ‬‫ا‬ ‫ﲪﺾ‬ ‫ﺗﻔﺎ�ﻞ‬ �‫ﻣﻌﺎد‬ ‫ﻛﺘﺐ‬ٔ‫أ‬ ‫ـ‬ ٔ‫أ‬ ‫ـ‬
. ‫اﻟﺘﻔﺎ�ﻞ‬ ‫ﻫﺬا‬ ‫ﻟﺘﻘﺪم‬ ‫�ﺪوﻻ‬ ‫�ﺸﺊ‬ٔ‫أ‬ ‫ـ‬ ‫ب‬
‫اﶵﻮﺿﺔ‬ ‫�ﺑﺖ‬ ‫ﻋﺒﺎرة‬ ‫ﻛﺘﺐ‬ٔ‫أ‬ ‫ـ‬ ‫ﺟـ‬
Ka
:‫لﻠﺜﻨﺎﺋﯿﺔ‬
(CH3COOH/CH3COO-
)
�‫ﺑﺪﻻ‬
CA
‫و‬
.‫اﻟـ‬ ‫ﳰﺔ‬‫ﻗ‬ ‫اﺣﺴﺐ‬ ‫ﰒ‬
PKa
‫ازن‬‫ﻮ‬‫اﻟﺘ‬ ‫�ت‬ ‫ﳰﺔ‬‫ﻗ‬ ‫�ﺘنتﺞ‬‫ﺳ‬‫ا‬ ‫و‬
K
.‫لﻠﺘﻔﺎ�ﻞ‬
‫ﻧﯿﺎ‬‫ﺎ‬‫ﺑﯿ‬ ‫�ﺪ‬ ‫ـ‬ ‫د‬
‫اﻟـ‬ ‫ﳰﺔ‬‫ﻗ‬
PKa
‫لﻠﺜﻨﺎﺋﯿﺔ‬
. (CH3COOH/CH3COO-
)
‫ﻫـ‬
-
. ‫ﯾﻚ‬‫ﻮ‬‫ﻧ‬‫ﺎ‬‫ٕﯾﺜ‬‫ﻻ‬‫ا‬ ‫ﶵﺾ‬ ‫اﻟﻐﺎﻟﺒﺔ‬ ‫اﻟﺼﻔﺔ‬ ‫ﳐﻄﻂ‬ ‫ﻣثﻞ‬
4
-
‫ﻗيﺎس‬ ‫�ﺎز‬ ‫اﺳﻄﺔ‬‫ﻮ‬‫ﺑ‬
‫اﻟﻨﻮﻋﯿﺔ‬ ‫اﻟﻨﺎﻗﻠﯿﺔ‬ ‫ات‬‫ﲑ‬‫ﺗﻐ‬ ‫ﻧﺘﺎﺑﻊ‬ ‫اﻟﻨﺎﻗﻠﯿﺔ‬
δ
. ‫اﯾﻚ‬‫ﻮ‬‫ﻧ‬‫ﺎ‬‫ٕﯾﺜ‬‫ﻻ‬‫ا‬ ‫ﳏﻠﻮل‬ ‫ﳌﻌﺎ�ﺮة‬
‫ـ‬ ‫اﻟﺸﻜﻞ‬
1
‫ـ‬
0 2
2
PH
‫اﻟﻤﻨﺤﻨﻰ‬
( )
2
‫اﻟﻤﻨﺤﻨﻰ‬
( )
1
E1
E2
VB(ml)
2
/
7
www.ecolerradja.com 0550 92 00 22 / 0561 60 62 09

3. ٔ‫أ‬
–
‫اﻟﻨﻮﻋﯿﺔ‬ ‫اﻟﻨﺎﻗﻠﯿﺔ‬ ‫ﻋﻦ‬ ‫�ﱪ‬
δ
�‫ﺑﺪﻻ‬ ‫اﳌﻌﺎ�ﺮة‬ ‫ﲻﻠﯿﺔ‬ ‫اﺛﻨﺎء‬ ‫اﻟﺘﻔﺎ�ﲇ‬ ‫لﻠﻤﺰﱕ‬
‫اﻟﺸﺎردﯾﺔ‬ ‫ﻟﯿﺔ‬‫ﻮ‬‫اﳌ‬ ‫اﻟﻨﺎﻗﻠﯿﺔ‬
‫لﻠﻤﺰﱕ‬ ‫ﰲ‬ ‫اﳌﻮﺟﻮدة‬ ‫ارد‬‫ﻮ‬‫لﻠﺸ‬
‫�ﻦ‬‫ﲒ‬‫اﻟﱰﻛ‬ ‫و‬ ‫اﻟﺘﻔﺎ�ﲇ‬
CA
‫و‬
CB
‫اﻟﺘ‬ ‫اﳌﺰﱕ‬ ‫ﲩﻢ‬ ‫و‬
. ‫ﻔﺎ�ﲇ‬
‫ب‬
–
‫ﳰﺔ‬‫ﻗ‬ ‫ﰒ‬ ‫ﻋﺒﺎرة‬ ‫اﻋﻂ‬
‫اﻟﻨﻮﻋﯿﺔ‬ ‫اﻟﻨﺎﻗﻠﯿﺔ‬
δ
‫اﻟﺘﻔﺎ�ﲇ‬ ‫لﻠﻤﺰﱕ‬
. ‫اﻟﺘﲀﻓﺆ‬ ‫ﻋﻨﺪ‬ ‫ﰒ‬ ‫اﻟﺘﲀﻓﺆ‬ ‫ﻧﺼﻒ‬ ‫ﻧﻘﻄﺔ‬ ‫ﻋﻨﺪ‬
3 3 2
2 2
35.9 . / , 4.1 . /
H O CH CO
mS m mol mS m mol
λ λ
+ −
= =
‫اﻟﺘﻤرﯿن‬
‫اﻟﺘﺠﺮﯾﺒﻲ‬
)
7
(‫ن‬
‫ﻋﺮﺿﻪ‬ ‫ﳖﺮ‬ ‫ٕﺟتﯿﺎز‬‫ا‬ ‫�ﻞ‬ٔ‫أ‬ ‫ﻣﻦ‬
15m
‫ﻓﻘيﺔ‬ٔ‫أ‬ ‫ﯾﻖ‬‫ﺮ‬‫ﻃ‬ ‫�ﲆ‬ ‫اﻟﺴﻜﻮن‬ ‫ﻣﻦ‬ ‫اﱐ‬‫ﻮ‬‫ﲠﻠ‬ ‫اج‬ّ‫در‬ ‫ﯾﻨﻄﻠﻖ‬
AB
‫ﻟﻬﺎ‬‫ﻮ‬‫ﻃ‬
40m
‫ﺗﻠﳱ‬ ّ‫ﰒ‬
‫ﯾﻖ‬‫ﺮ‬‫ﻃ‬ ‫ﺎ‬
BM
‫ﻟﻬﺎ‬‫ﻮ‬‫ﻃ‬
20m
‫ﯾﺔ‬‫ؤ‬‫ا‬‫ﺰ‬� �‫ﻣﺎﺋ‬
30°
‫اﻟﻨﻘﻄﺔ‬ ‫ٕﱃ‬‫ا‬ ‫اج‬ّ‫ا�ر‬ ‫وﺻﻮل‬ ‫ﻋﻨﺪ‬ . ‫ﻓﻘيﺔ‬ٔ�‫ا‬ ‫ﯾﻖ‬‫ﺮ‬‫اﻟﻄ‬ ‫ﻣﻊ‬
M
‫�ﴪ�ﺔ‬ ‫اء‬‫ﻮ‬‫اﻟﻬ‬ ‫ﰲ‬ ‫ﯾﻨﻄﻠﻖ‬
VM
‫اﻟﻮﺻﻮل‬ ‫ﳏﺎوﻻ‬
‫اﺧﺮ‬ ‫ﻣﺎﺋﻞ‬ ‫�ﺘﻮي‬‫ﺴ‬‫ﻣ‬ ‫ﻓﳱﺎ‬ ‫ﯾﻮ�ﺪ‬ ‫اﻟﱴ‬ ‫ا�ﳯﺮ‬ ‫ﻣﻦ‬ ‫ﺧﺮى‬ٔ�‫ا‬ ‫اﻟﻀﻔﺔ‬ ‫ٕﱃ‬‫ا‬
ND
�‫ﻃﻮ‬
16m
‫ﯾﺔ‬‫و‬‫ا‬‫ﺰ‬� ‫ﻓﻖ‬ٔ�‫ا‬ ‫ﻋﻦ‬ ‫ﳝﯿﻞ‬
30°
‫اﻟﻨﻘﻄﺔ‬ ‫ﲝﯿﺚ‬ ,
N
‫�ﲆ‬ ‫ﺗﻘﻊ‬
. ‫اﻟﺸﲁ‬ ‫ﯾﻮﲵﻪ‬ ‫ﻛﲈ‬ ‫ا�ﳯﺮ‬ ‫�ﺎﻓﺔ‬ ‫ﻣﻦ‬ ‫اﳌﺎر‬ ‫اﻟﺸﺎﻗﻮل‬
‫ٕﺣتﲀك‬‫ﻻ‬‫ا‬ ‫ﻗﻮى‬ ‫ﻧﻌﺘﱪ‬
F'
‫ﺷﺪﲥﺎ‬ ‫�ﺑﺘﺔ‬ ‫ﯾﻖ‬‫ﺮ‬‫اﻟﻄ‬ ‫ﰻ‬ ‫�ﲆ‬
80N
, ‫اج‬ّ‫ا�ر‬ ‫ﺣﺮﻛﺔ‬ ‫�ﻼل‬ ‫اء‬‫ﻮ‬‫اﻟﻬ‬ ‫وﻣﻘﺎوﻣﺔ‬ ‫رﲬﯿﺪس‬ٔ‫أ‬ ‫داﻓﻌﺔ‬ ‫وﲥﻤﻞ‬ ,
‫ﻛﺘﻠﳤﺎ‬ ‫ﻣﺎدﯾﺔ‬ �‫ﲨ‬ ( ‫اﺟتﻪ‬‫ر‬‫د‬+ ‫اج‬ّ‫ا�ر‬ ) ‫ن‬ٔ‫أ‬ ‫ﻧﻌﺘﱪ‬‫و‬
250 kg
1
�‫ا‬ ‫ﳏﺮك‬ ‫ﯾﻘﺪم‬ ‫اﳊﺮﻛﺔ‬ ‫ﺛﻨﺎء‬ٔ‫أ‬ ‫ـ‬
‫ﻗﻮة‬ ‫ا�ﺔ‬‫ر‬
F= 600N
.
‫ﻣﺎﱔ‬ ‫ـ‬ ٔ‫أ‬
‫ﯾﻖ‬‫ﺮ‬‫اﻟﻄ‬ ‫�ﲆ‬ ‫اج‬ّ‫ا�ر‬ ‫ﺣﺮﻛﺔ‬ ‫ﻃﺒﯿﻌﺔ‬
AB
. ‫�ﻠﻞ‬ ،
‫اﻟﻨﻘﻄﺔ‬ ‫اﱃ‬ ‫لﻠﻮﺻﻮل‬ ‫اﳌﺘﺤﺮك‬ ‫ﻗﻬﺎ‬‫ﺮ‬‫�ﺘﻐ‬‫ﺴ‬� ‫اﻟﱴ‬ ‫اﻟﺰﻣنﯿﺔ‬ ‫اﳌﺪة‬ ‫ﻣﺎﱔ‬ ‫ـ‬ ‫ب‬
B
. ‫ﻋﻨﺪﺋﺬ‬ ‫ﴎﻋﺘﻪ‬ ‫وﻣﺎﱔ‬ ,
2
‫اﻟﺴﺎﺑﻘﺔ‬ ‫اﻟﻘﻮة‬ ‫ﻧﻔﺲ‬ ‫ا�ﺔ‬‫ر‬�‫ا‬ ‫ﳏﺮك‬ ‫ﯾﻘﺪم‬ ‫اﳌﺎﺋﻞ‬ ‫�ﺘﻮي‬‫ﺴ‬‫اﳌ‬ ‫�ﲆ‬ ‫اﻟﺼﻌﻮد‬ ‫ﺛﻨﺎء‬ٔ‫أ‬ ‫ـ‬
F
.
. ��‫اﳌﺮ‬ ‫ﻫﺬﻩ‬ ‫ﺛﻨﺎء‬ٔ‫أ‬ ‫اﳌﺘﺤﺮك‬ ‫�ﺴﺎرع‬ ‫ﻣﺎﻫﻮ‬ ‫ـ‬ ٔ‫أ‬
‫اﻟﻨﻘﻄﺔ‬ ‫اﱃ‬ ‫لﻠﻮﺻﻮل‬ ‫اﳌﺘﺤﺮك‬ ‫ﻗﻬﺎ‬‫ﺮ‬‫�ﺘﻐ‬‫ﺴ‬� ‫اﻟﱴ‬ ‫اﻟﺰﻣنﯿﺔ‬ ‫اﳌﺪة‬ ‫ﻣﺎﱔ‬ ‫ـ‬ ‫ب‬
M
‫ﴎﻋﺘﻪ‬ ‫وﻣﺎﱔ‬ ,
VM
. ‫ﻋﻨﺪﺋﺬ‬
3
‫ﺑﺔ‬‫ﻮ‬‫اﶈﺴ‬ ‫اﻟﴪ�ﺔ‬ ‫ﺑﻨﻔﺲ‬ ‫ـ‬
VM
‫اﻟﻨﻘﻄﺔ‬ ‫ﻣﻦ‬ ‫اج‬ّ‫ا�ر‬ ‫ﯾﻘﻔﺰ‬
M
‫اﻟﻨﻘﻄﺔ‬ ‫اﱃ‬ ‫اﻟﻮﺻﻮل‬ ‫ﳏﺎوﻻ‬
N
‫اﻟﻀﻔﺔ‬ ‫ﻣﻦ‬
‫ا�ﳯﺮ‬ ‫ﻣﻦ‬ ‫ﺧﺮى‬ٔ�‫ا‬
‫اﶈﻮر�ﻦ‬ ‫�ﲆ‬ ‫اﻟﻘﻔﺰ‬ ‫ﲻﻠﯿﺔ‬ ‫ﺛﻨﺎء‬ٔ‫أ‬ ‫اج‬ّ‫ا�ر‬ ‫ﺣﺮﻛﺔ‬ ‫درس‬ٔ‫أ‬ ‫ـ‬ ٔ‫أ‬
OX
‫و‬
OZ
ٔ‫أ‬‫اﳌﺒﺪ‬ ‫ﺣيﺚ‬
O
‫�ﲆ‬ ‫ﻣنﻄﺒﻖ‬
‫اﻟﻨﻘﻄﺔ‬
M
.
‫ﻣﺴﺎ‬ �‫ﻣﻌﺎد‬ ‫ﻛﺘﺐ‬ٔ‫أ‬ ‫ـ‬ ‫ب‬
. ‫اج‬ّ‫ا�ر‬ ‫ﺣﺮﻛﺔ‬ ‫ر‬
‫ج‬
–
‫اﻟﻨﻘﻄﺔ‬ ‫اﱃ‬ ‫اﻟﻮﺻﻮل‬ ‫و‬ ‫ا�ﳯﺮ‬ ‫اﺟتﯿﺎز‬ ‫ﰲ‬ ‫ﯾﻨﺠﺢ‬ ‫ﰾ‬ ‫ﳛﻘﻘﻬﺎ‬ ‫ان‬ ‫اج‬ّ‫ا�ر‬ ‫�ﲆ‬ ‫ﳚﺐ‬ ‫اﻟﱵ‬ ‫اﻟﴩط‬ ‫ﱔ‬ ‫ﻣﺎ‬
N
‫اﺟتﯿﺎز‬ ‫ﰲ‬ ‫اج‬ّ‫ا�ر‬ ‫ﻫﺬا‬ ‫ﯾﻨﺠﺢ‬ ‫ﻫﻞ‬ ‫ـ‬ ‫د‬
‫ﯾﻨﺠﺢ‬ ‫ﺣﱴ‬ ‫ا�ﺔ‬‫ر‬�‫ا‬ ‫ﳏﺮك‬ ‫ﯾﻘﺪ�ﺎ‬ ‫ن‬ٔ‫أ‬ ‫ﳚﺐ‬ ‫اﻟﱴ‬ ‫اﻟﻘﻮة‬ ‫ﳁﺎﱔ‬ ‫�ﻟﻨﻔﻲ‬ ‫اب‬‫ﻮ‬‫اﳉ‬ ‫ﰷن‬ ‫ٕذا‬‫ا‬ ‫؟‬ ‫ا�ﳯﺮ‬
‫اﻟﻨﻘﻄﺔ‬ ‫اﱃ‬ ‫اﻟﻮﺻﻮل‬ ‫ﰲ‬
N
. ‫ا�ﳯﺮ‬ ‫ﺟتﯿﺎز‬ٕ‫ا‬‫و‬
M
A
B
30°
20m
D
N
30°
16m
3
/
7
www.ecolerradja.com 0550 92 00 22 / 0561 60 62 09

4. ‫ا‬ ‫اﻟﻣوﺿوع‬
‫اﻟﺛﺎﻧﻲ‬
‫اﻷول‬‫اﻟﺘﻤﺮﻳﻦ‬
:
:
)
07
(‫ـﺎط‬‫ﻘ‬‫ﻧ‬
‫أﺴﺎﺴﯿﺔ‬ ‫ﻫرﻤوﻨﺎت‬ ‫ﺘﻛوﯿن‬ ‫ﻓﻲ‬ ‫ﯿﺴﺎﻫم‬ ‫ﻷﻨﻪ‬ ، ‫اﻻﻨﺴﺎن‬ ‫ﻟﺠﺴم‬ ‫ﺠدا‬ ‫ﯿﺎ‬‫ر‬‫ﻀرو‬ ‫اﻟﯿود‬ ‫ﯿﻌﺘﺒر‬
‫اﻟﻐدة‬ ‫ﻤﺴﺘوى‬ ‫ﻋﻠﻰ‬ ‫اﻤﺘﺼﺎﺼﻪ‬ ‫ﻋﻨد‬
‫ﻨﺠد‬ ‫اﻟﯿود‬ ‫ﻨظﺎﺌر‬ ‫ﺒﯿن‬ ‫ﻤن‬ ‫ﻗﯿﺔ‬‫ر‬‫اﻟد‬
‫اﻟﻨظﯿر‬ ‫و‬ ‫ﻤﺴﺘﻘر‬
‫ﯿ‬
‫ن‬
‫و‬
‫اﻟطﺒﻲ‬ ‫اﻟﻤﺠﺎل‬ ‫ﻓﻲ‬ ‫ﯿﺴﺘﻌﻤﻼن‬
: ‫ﻤﻌطﯿﺎت‬
,
‫ﻋﻤر‬ ‫ﻨﺼف‬ ‫زﻤن‬
1
-
‫اﻟﻤﺨطط‬ ‫ﻋﻠﻰ‬ ‫اﻋﺘﻤﺎدا‬
(N,Z)
‫أﻋﻼﻩ‬ ‫اﻟﺸﻛل‬ ‫ﻓﻲ‬ ‫اﻟﻤﻤﺜل‬
‫أ‬
-
‫اة‬‫و‬‫اﻟﻨ‬ ‫ﺘﻔﻛك‬ ‫ﻤﻌﺎدﻟﺔ‬ ‫اﻛﺘب‬
‫اﻟﺒﻨت‬ ‫اة‬‫و‬‫اﻟﻨ‬ ‫دا‬ّ
‫ﻤﺤد‬
‫اﻟﻨﺎﺘﺠﺔ‬
‫ﻏﯿ‬
‫ر‬
‫ة‬
‫ر‬‫اﻟﻤﺜﺎ‬
‫ب‬
-
‫اﻟ‬ ‫اﻟﺒﻨت‬ ‫اة‬‫و‬‫اﻟﻨ‬ ‫ﻫل‬
‫ﻻ‬ ‫أم‬ ‫ة‬
‫ر‬‫ﻤﺴﺘﻘ‬ ‫ﻨﺎﺘﺠﺔ‬
‫؟‬
2
-
‫اﻟﺸﻛل‬ ‫ﻓﻲ‬ ‫اﻟﻤﻤﺜل‬ ‫اﻟطﺎﻗﺔ‬ ‫ﻤﺨطط‬ ‫ﻤن‬ ‫اﻨطﻼﻗﺎ‬
‫اﻟﻤﻘﺎﺒل‬
‫أوﺠد‬
:
‫أ‬
-
‫اﺘﯿن‬‫و‬‫اﻟﻨ‬ ‫ﻤن‬ ‫ﻟﻛل‬ ‫ﺒط‬‫ر‬‫اﻟ‬ ‫طﺎﻗﺔ‬
‫ب‬
-
‫اﻟﻨﺎﺘﺠﺔ‬ ‫اﻟطﺎﻗﺔ‬
‫اﻟﯿود‬ ‫اة‬‫و‬‫ﻨ‬ ‫ﺘﻔﻛك‬ ‫ﻋن‬
3
-
‫اﺒﺘداﺌﯿﺔ‬ ‫ﻤﺸﻌﺔ‬ ‫ﻋﯿﻨﺔ‬
‫اﻟﯿود‬ ‫ﻤن‬
131
‫ﻛﺘﻠﺘﻬﺎ‬
‫اﻟﻠﺤظﺔ‬ ‫ﻋﻨد‬
t=0
‫ا‬ ‫ﯿﻤﺜل‬
‫ﻟﻤﻨﺤﻨﻰ‬
‫اﻟﺘﺎﻟﻲ‬
‫اﻟﯿود‬ ‫ﻤن‬ ‫اﻟﻤﺸﻌﺔ‬ ‫اﻷﻨوﯿﺔ‬ ‫ﻋدد‬ ‫ات‬
‫ر‬‫ﺘﻐﯿ‬
‫ﻟﻤﺘﺒﻘﯿﺔ‬
N
‫ﯿﻤﺜل‬ ‫اﻟﻤرﺴوم‬ ‫اﻟﻤﺴﺘﻘﯿم‬ ‫و‬ ‫اﻟزﻤن‬ ‫ﺒدﻻﻟﺔ‬
‫اﻟﻠﺤظﺔ‬ ‫ﻋﻨد‬ ‫ﻟﻠﺒﯿﺎن‬ ‫ﻤﻤﺎس‬
t=1.5jours
N
Cs
Xe
I
Te
Sb
80
Cs
Xe
I
te
Sb
79
Cs
Xe
I
te
Sb
78
Cs
Xe
I
Te
Sb
77
Cs
Xe
I
Te
Sb
76
Z
55
54
53
52
51
‫ﻣﺴﺘﻘﺮة‬ ‫أﻧﻮﻳﺔ‬
‫ﻣﺸﻌﺔ‬ ‫أﻧﻮﻳﺔ‬
‫ﻣﺸﻌﺔ‬ ‫أﻧﻮﻳﺔ‬
1
N
t(jours)
ΔE1
123015.1196
123014.3451
121911.9255
121911.0393
54p +77n +
78p +53n
ΔE4
ΔE3
ΔE2
E(Mev)
4
/
7
www.ecolerradja.com 0550 92 00 22 / 0561 60 62 09

5. ‫أ‬
-
‫اﺤﺴب‬
‫اﻟﻠﺤظﺔ‬ ‫ﻋﻨد‬ ‫اﻟﻌﯿﻨﺔ‬ ‫ﻓﻲ‬ ‫اﻹﺒﺘداﺌﯿﺔ‬ ‫اﻷﻨوﯿﺔ‬ ‫ﻋدد‬
t=0
‫اﺘﯿب‬
‫ر‬‫اﻟﺘ‬ ‫ﻤﺤور‬ ‫ﻋﻠﻰ‬ ‫اﻟﻤﺴﺘﻌﻤل‬ ‫اﻟﺴﻠم‬ ‫اﺴﺘﻨﺘﺞ‬ ‫ﺜم‬
‫ب‬
-
‫ف‬ّ
‫ﻋر‬
A
‫اﻟﻠﺤظﺔ‬ ‫ﻋﻨد‬ ‫ﻗﯿﻤﺘﻪ‬ ‫د‬ّ
‫ﺤد‬ ‫ﺜم‬ ‫ﻤﺸﻌﺔ‬ ‫ﻋﯿﻨﺔ‬ ‫ﻨﺸﺎط‬
t=1.5jours
‫ـ‬‫ﺠ‬
-
‫ﻟﻠﯿود‬ ‫اﻹﺸﻌﺎﻋﻲ‬ ‫اﻟﻨﺸﺎط‬ ‫ﺜﺎﺒت‬ ‫ﻗﯿﻤﺔ‬ ‫أن‬ ‫ﺘﺤﻘق‬
131
‫ﻫﻲ‬
‫د‬
-
‫ﻟﺘﻔﻛك‬ ‫اﻟﻼزﻤﺔ‬ ‫اﻟزﻤﻨﯿﺔ‬ ‫اﻟﻤدة‬ ‫اﺤﺴب‬
‫اﻹﺒﺘداﺌﯿﺔ‬ ‫اﻟﻌﯿﻨﺔ‬ ‫ﻤن‬
‫ه‬
-
‫ﻟﺘﻛن‬
‫اﻟﻠﺤظﺔ‬ ‫ﻋﻨد‬ ‫ﻋﯿﻨﺔ‬ ‫طرف‬ ‫ﻤن‬ ‫ة‬
‫ر‬‫اﻟﻤﺤر‬ ‫اﻟطﺎﻗﺔ‬
:‫أن‬ ‫ن‬ّ
‫ﺒﯿ‬ .
4
-
‫ﯿن‬‫ر‬‫اﻟﻨظﯿ‬ ‫ﺒﺎﺴﺘﻌﻤﺎل‬ ‫ﻗﯿﺎ‬‫ر‬‫د‬ ‫اﺸﻌﺎﻋﯿﺎ‬ ‫ا‬
‫ر‬‫ﺘﺼوﯿ‬ ‫ي‬
‫ﻨﺠر‬ ، ‫ﻗﯿﺔ‬‫ر‬‫اﻟد‬ ‫اﻟﻐدة‬ ‫وظﯿﻔﺔ‬ ‫أو‬ ‫ﺸﻛل‬ ‫ﻤن‬ ‫ﻟﺘﺤﻘق‬
‫و‬
‫أ‬
-
‫ﻛﺘ‬ ‫ﯿن‬‫ر‬‫اﻟﻨظ‬ ‫ﻫذﯿن‬ ‫ﻤن‬ ‫ﻋﯿﻨﺘﯿن‬ ‫اﻷزﻤﻨﺔ‬ ‫ﻤﺒدأ‬ ‫ﻫﺎ‬
‫ﻨﻌﺘﺒر‬ ‫ﻟﺤظﺔ‬ ‫ﻋﻨد‬ ‫ﻟدﯿﻨﺎ‬
‫اﺤدة‬‫و‬ ‫ﻛل‬ ‫ﻠﺔ‬
‫ب‬
-
‫اﺤﺴب‬
A0
‫ﻋﯿﻨﺔ‬ ‫ﻟﻛل‬ ‫اﻹﺸﻌﺎﻋﻲ‬ ‫اﻟﻨﺸﺎط‬
‫ت‬
-
‫اﻹﺸﻌﺎﻋﻲ‬ ‫اﻟﻨﺸﺎط‬ ‫ﻗﯿﻤﺔ‬ ‫ﻨﻔس‬ ‫ﻟﻠﻌﯿﻨﺘﯿن‬ ‫ﯿﻛون‬ ‫ﻟﻛﻲ‬ ‫اﻟزﻤﻨﯿﺔ‬ ‫اﻟﻤدة‬ ‫د‬ّ
‫ﺤد‬
A
‫ث‬
-
‫ﺤﺎﻟﺔ‬ ‫ﻓﻲ‬ ‫ﺘﻨﺎوﻟﻬﺎ‬ ‫ﻗﺼد‬ ‫اﻟﺒوﺘﺎﺴﯿوم‬ ‫ﯿود‬ ‫ﺸﻛل‬ ‫ﻋﻠﻰ‬ ‫اﻟﯿود‬ ‫اص‬
‫ر‬‫اﻗ‬ ‫اﻟﻨووﯿﺔ‬ ‫اﻟﻤﺤطﺎت‬ ‫ار‬‫و‬‫ﺒﺠ‬ ‫اﻟﻘﺎطﻨﯿن‬ ‫اﻟﺴﻛﺎن‬ ‫م‬ّ‫ﻠ‬‫ﺘﺴ‬
‫ﻟﻠﯿود‬ ‫ﻨووي‬ ‫ﺘﺴرب‬ ‫ﺤدوث‬
131
‫ﻫ‬ ‫ل‬ّ‫ﻠ‬‫ﻋ‬.
‫اﻹﺤﺘﯿﺎط‬ ‫ذا‬
‫ا‬‫اﻟﺘﻤﺮﻳﻦ‬
‫ﺛﺎﻧﻲ‬
:
)
06
(‫ـﺎط‬‫ﻘ‬‫ﻧ‬
‫ﺣﺑﺔ‬ ‫ﺗﺳﻘط‬
‫ﺑرد‬
‫ﻛروﯾﺔ‬
‫ﻗطرھﺎ‬ ‫اﻟﺷﻛل‬
D=3cm
‫ﻛﺗﻠﺗﮭﺎ‬ ،
m=13g
‫اﻟﻠﺣظﺔ‬ ‫ﻓﻲ‬ ‫اﺑﺗداﺋﯾﺔ‬ ‫ﺳرﻋﺔ‬ ‫دون‬
t=0
‫اﻟﻧﻘطﺔ‬ ‫ﻣن‬
O
‫ﺑـ‬ ‫ﺗرﺗﻔﻊ‬
h(m)
‫ﻧﻌﺗﺑرھﺎ‬ ‫اﻷرض‬ ‫ﺳطﺢ‬ ‫ﻋن‬
‫ﻛﻣﺑدأ‬
‫اﻟﺷﺎﻗوﻟﻲ‬ ‫ﻟﻠﻣﺣور‬
(oz)
‫اﻷﺳﻔل‬ ‫ﻧﺣو‬ ‫اﻟﻣوﺟﮫ‬
‫ﺣر‬ ‫ﺳﻘوطﺎ‬ ‫ﺗﺳﻘط‬ ‫اﻟﺑرد‬ ‫ﺣﺑﺔ‬ ‫أن‬ ‫ﻧﻔرض‬ : ‫أوﻻ‬
‫ا‬
.
‫اﻟﺳرﻋﺔ‬ ‫ﻣﺧططﻲ‬ ‫اﻟﺗﺎﻟﯾﺎن‬ ‫اﻟﺑﯾﺎﻧﺎن‬ ‫ﯾﻣﺛل‬
v(t)
‫و‬
‫اﻟﻣوﺿﻊ‬
z(t)
‫اﻟﺑرد‬ ‫ﺣﺑﺔ‬ ‫ﻋطﺎﻟﺔ‬ ‫ﻟﻣرﻛز‬
G
1
-
‫ﻟﻧﯾوﺗن‬ ‫اﻟﺛﺎﻧﻲ‬ ‫اﻟﻘﺎﻧون‬ ‫ﺑﺗطﺑﯾق‬
‫ّرد‬‫ﺑ‬‫اﻟ‬ ‫ﺣﺑﺔ‬ ‫ﻋﻠﻰ‬
‫اﻟزﻣﻧﯾﺗﯾن‬ ‫اﻟﻣﻌﺎدﻟﺗﯾن‬ ‫ﺟد‬
‫ﻟ‬
‫ﻠ‬
‫ﺳرﻋﺔ‬
v(t)
‫و‬
‫اﻟ‬
‫ﻣوﺿﻊ‬
z(t)
.‫ﻋطﺎﻟﺗﮭﺎ‬ ‫ﻣرﻛز‬
2
-
: ‫ﻣن‬ ‫ﻛل‬ ‫ﻗﯾﻣﺔ‬ ‫د‬ّ‫د‬‫ﺣ‬ ‫اﻟﺑﯾﺎﻧﯾن‬ ‫ﻋﻠﻰ‬ ‫اﻋﺗﻣﺎدا‬
‫أ‬
-
‫اﻟز‬ ‫اﻟﻣدة‬
‫ب‬ ‫ﻟﻠﺳﻘوط‬ ‫ﻣﻧﯾﺔ‬
-
‫اﻟﺑرد‬ ‫ﺣﺑﺔ‬ ‫ﻣﻧﮫ‬ ‫ﺳﻘطت‬ ‫اﻟذي‬ ‫اﻹرﺗﻔﺎع‬
‫ﺟـ‬
-
‫د‬ . ‫اﻷرض‬ ‫ﺳطﺢ‬ ‫وﺻوﻟﮭﺎ‬ ‫ﻟﺣظﺔ‬ ‫ا‬ ‫اﻟﺳرﻋﺔ‬ ‫ﻗﯾﻣﺔ‬
‫ـ‬
-
‫اﻷرﺿﯾﺔ‬ ‫اﻟﺟﺎذﺑﯾﺔ‬ ‫ﺷدة‬
6 9 12 15 18 21
-3
100
150
200
0 3
50
t(s)
v(m/s)
8 12 16 20 24
-4
400
600
800
1000
1200
1400
0 4
200
t(s)
z(m)
‫ﺷﻜﻞ‬
2
‫ﺷﻜﻞ‬
1
5
/
7
www.ecolerradja.com 0550 92 00 22 / 0561 60 62 09

6. 4 6 8 10
-2
10
15
20
25
0 2
5
t(s)
v(m/s)
3
-
‫اﻷﺧﯾرة‬ ‫اﻟﺛﺎﻧﯾﺔ‬ ‫ﺧﻼل‬ ‫ﻗطﻌﺗﮭﺎ‬ ‫اﻟﺗﻲ‬ ‫اﻟﻣﺳﺎﻓﺔ‬ ‫ﺣﺳﺎﺑﯾﺎ‬ ‫أوﺟد‬
4
-
‫أر‬+ ‫اﻟﺑرد‬ ‫ﺣﺑﺔ‬ ) ‫ﻟﻠﺟﻣﻠﺔ‬ ‫اﻟﻣﯾﻛﺎﻧﯾﻛﯾﺔ‬ ‫اﻟطﺎﻗﺔ‬ ‫ﻣﺑدأاﻧﺣﻔﺎظ‬ ‫ﺑﺎﺳﺗﺧدام‬
‫اﻷرض‬ ‫ﺳطﺢ‬ ‫اﻟﻰ‬ ‫وﺻول‬ ‫ﺳرﻋﺔ‬ ‫ﻋﺑﺎرة‬ ‫ﺟد‬ (‫ض‬
: ‫ﺛﺎﻧﯾﺎ‬
‫ﺛﻘﻠﮭﺎ‬ ‫ﻟﻘوة‬ ‫ﺑﻺﺿﺎﻓﺔ‬ ‫اﻟﺑرد‬ ‫ﺣﺑﺔ‬ ‫ﺗﺧﺿﻊ‬ ‫اﻟواﻗﻊ‬ ‫ﻓﻲ‬
‫أرﺧﻣﯾدس‬ ‫داﻓﻌﺔ‬ ‫ﻗوة‬ ‫إﻟﻰ‬
‫اﺣﺗﻛﺎك‬ ‫وﻗوة‬
‫اﻟﻣﺗﻧﺎﺳﺑﺔ‬
‫ﺣﯾث‬ ، ‫اﻟﺳرﻋﺔ‬ ‫ﻣرﺑﻊ‬ ‫ﻣﻊ‬ ‫طردا‬
‫اﻟﺳرﻋﺔ‬ ‫ﻣﺧطط‬ ‫ﯾﻌطﻰ‬ ‫ﻛﻣﺎ‬
v(t)
‫ﻓﻲ‬
‫اﻟﺷﻛل‬
3
1
-
‫اﻟﻣﻌﺎﻣل‬ ‫وﺣدة‬ ‫د‬ّ‫د‬‫ﺣ‬ ‫اﻟﺑﻌدي‬ ‫ﺑﺎﻟﺗﺣﻠﯾل‬
k
‫اﻟدوﻟﻲ‬ ‫اﻟﻧظﺎم‬ ‫ﻓﻲ‬
‫ﻟﻠوﺣدات‬
2
-
‫ﻣﻊ‬ ‫وﻗﺎرﻧﮭﺎ‬ ‫ﺷدﺗﮭﺎ‬ ‫اﺣﺳب‬ ‫ﺛم‬ ‫أرﺧﻣﯾدس‬ ‫داﻓﻌﺔ‬ ‫ﻗوة‬ ‫ﻋﺑﺎرة‬ ‫اﻛﺗب‬
‫ﺗﺳﺗﻧﺗﺞ؟‬ ‫ذا‬ ‫ﻣﺎ‬. ‫اﻟﺛﻘل‬ ‫ﻗوة‬ ‫ﺷدة‬
3
-
‫أرﺧﻣﯾدس‬ ‫داﻓﻌﺔ‬ ‫ﻗوة‬ ‫ﺑﺈھﻣﺎل‬
‫أ‬
-
‫ﻛﺗﺎ‬ ‫ﯾﻣﻛن‬ ‫أﻧﮫ‬ ‫ّن‬‫ﯾ‬‫ﺑ‬ ‫ﺛم‬ ‫ﻟﻠﺣرﻛﺔ‬ ‫اﻟﺗﻔﺿﻠﯾﺔ‬ ‫اﻟﻣﻌﺎدﻟﺔ‬ ‫ﺟد‬
‫ﺑﺗﮭﺎ‬
: ‫اﻟﺷﻛل‬ ‫ﻋﻠﻰ‬
‫ب‬
-
‫اﻟﺣدﯾﺔ‬ ‫ﻟﻠﺳرﻋﺔ‬ ‫اﻟﺣرﻓﯾﺔ‬ ‫اﻟﻌﺑﺎرة‬ ‫اﺳﺗﻧﺗﺞ‬
vl
‫ﺗﺑﻠﻐﮭﺎ‬ ‫اﻟﺗﻲ‬
‫ﺟـ‬
-
‫اﻟﺣدﯾﺔ‬ ‫اﻟﺳرﻋﺔ‬ ‫ﻗﯾﻣﺔ‬ ‫ﺑﯾﺎﻧﯾﺎ‬ ‫ﺟد‬
vl
‫ﻗﯾﻣﺔ‬ ‫اﺳﺗﻧﺗﺞ‬ ‫ﺛم‬
k
‫د‬
-
‫)أوﻻ‬ ‫اﻟﺳؤﻟﯾن‬ ‫ﻓﻲ‬ ‫ﺣﺳﺎﺑﮭﺎ‬ ‫ﺗم‬ ‫اﻟﺗﻲ‬ ‫اﻟﺳرﻋﺗﯾن‬ ‫ﺑﯾن‬ ‫ﻗﺎرن‬
–
2
‫ﺟـ‬
‫)ﺛﺎﻧﯾﺎ‬ ‫(و‬
-
3
-
‫ﺗﺳﺗﻧﺗﺞ؟‬ ‫ذا‬ ‫ﻣﺎ‬ .(‫ﺟـ‬
: ‫اﻟﻣﻌطﯾﺎت‬
‫اﻟﻛﺗ‬
‫ﻟﻠﮭواء‬ ‫اﻟﺣﺟﻣﯾﺔ‬ ‫ﻠﺔ‬
‫اﻟﻛرة‬ ‫ﺣﺟم‬
،
g=9.8m.s-2
‫اﻟ‬‫اﻟﺘﻤﺮﻳﻦ‬
‫ﺜﺎﻟﺚ‬
(‫ﺗﺠﺮﻳﺒﻲ‬ ‫)ﺗﻤﺮﻳﻦ‬
:
)
07
(‫ـﺎط‬‫ﻘ‬‫ﻧ‬
‫أ‬
‫ر‬‫ﻨﻘ‬
‫ذي‬ ‫اﻟﻼﻛﺘﯿك‬ ‫ﺤﻤض‬ ‫ﻋﻠﻰ‬ ‫ﯿﺤﺘوي‬ ‫ي‬
‫ﺘﺠﺎر‬ ‫ف‬ّ‫ظ‬‫ﻤﻨ‬ ‫ة‬
‫ر‬‫ﻗﺎرو‬ ‫ﻟﺼﯿﻘﺔ‬ ‫ﻋﻠﻰ‬
‫ﯿﺌﯿﺔ‬‫ز‬‫اﻟﺠ‬ ‫اﻟﺼﯿﻐﺔ‬
‫اﻟﺘﺎﻟﯿﺔ‬ ‫اﻟﻤﻌﻠوﻤﺎت‬
:
‫اﻟﻼ‬ ‫ﻟﺤﻤض‬ ‫ﯿﺌﯿﺔ‬‫ز‬‫اﻟﺠ‬ ‫اﻟﻤوﻟﯿﺔ‬ ‫اﻟﻛﺘﻠﺔ‬
: ‫ﻛﺘﯿك‬
: ‫ي‬
‫اﻟﺘﺠﺎر‬ ‫ﻟﻠﻤﻨظف‬ ‫اﻟﺤﺠﻤﯿﺔ‬ ‫اﻟﻛﺘﻠﺔ‬
‫اﻟﺘﺴﺨﯿن‬ ‫ﻤﻊ‬ ‫ﺘﻨظﯿﻔﻪ‬ ‫اد‬
‫ر‬‫اﻟﻤ‬ ‫اﻟﺠﻬﺎز‬ ‫ﻓﻲ‬ ‫اﻟﻤرﻛز‬ ‫ي‬
‫اﻟﺘﺠﺎر‬ ‫ف‬ّ
‫ظ‬‫اﻟﻤﻨ‬ ‫غ‬
‫ﯿﻔر‬
.
‫اﻟﻤﺘرﺴﺒﺔ‬ ‫اﻟﻛﻠﺴﯿﺔ‬ ‫اﻟطﺒﻘﺔ‬ ‫اﻟﺔ‬
‫ز‬‫ﻹ‬ ‫اﻟﻤﻨظف‬ ‫ﻫذا‬ ‫ﯿﺴﺘﻌﻤل‬
‫اﻟﻛﺎﻟﺴﯿوم‬ ‫ﺒوﻨﺎت‬‫ر‬‫ﻛ‬ ‫ﻤن‬ ‫أﺴﺎﺴﺎ‬ ‫اﻟﻤﺸﻛﻠﺔ‬‫و‬ ‫ﻤﺎﺌﻲ‬ ‫ﺎن‬ّ
‫ﺴﺨ‬ ‫ان‬
‫ر‬‫ﺠد‬ ‫ﻋﻠﻰ‬
‫أﺠل‬ ‫ﻤن‬
‫اﻟﻤﺌوﯿﺔ‬ ‫ﻨﺴﺒﺘﻪ‬ ‫وﺘﺤدﯿد‬ ‫ي‬
‫اﻟﺘﺠﺎر‬ ‫اﻟﻤﻨظف‬ ‫ﻫذا‬ ‫ﻓﺎﻋﻠﯿﺔ‬ ‫اﺴﺔ‬
‫ر‬‫د‬
P%
‫اﻷﺘﯿﺘﯿن‬ ‫ﺒﺘﯿن‬‫ر‬‫اﻟﺘﺠ‬ ‫ﻨﺤﻘق‬ ،
: ‫اﻷوﻟﻰ‬ ‫اﻟﺘﺠرﺒﺔ‬
1
-
‫ﻨﺤ‬
‫ﻀ‬
‫ﻻ‬
‫ﻤﺤﻠو‬ ‫ر‬
(s)
‫ﺤﺠﻤﻪ‬
‫اﻟﻤوﻟﻲ‬ ‫ﻩ‬
‫ز‬‫وﺘرﻛﯿ‬
‫ﻤﺨﻔﻔﺎ‬
100
‫اﻟذي‬ ‫ي‬
‫اﻟﺘﺠﺎر‬ ‫اﻟﻤﻨظف‬ ‫ﻤن‬ ‫اﻨطﻼﻗﺎ‬ ، ‫ة‬
‫ر‬‫ﻤ‬
‫اﻟﻤوﻟﻲ‬ ‫ﻩ‬
‫ز‬‫ﺘرﻛﯿ‬
c0
.
1
-
1
‫اﻟﻤﺤﻠ‬ ‫ﺤﺠم‬ ‫ﻫو‬ ‫ﻤﺎ‬
‫ي‬
‫اﻟﺘﺠﺎر‬ ‫ول‬
V0
‫اﻟﻤﺤﻠول‬ ‫ﻟﺘﺤﻀﯿر‬ ‫اﺴﺘﻌﻤﺎﻟﻪ‬ ‫اﺠب‬‫و‬‫اﻟ‬
(s)
1
-
2
‫اﻟﻤﺤﻠول‬ ‫ﻟﺘﺤﻀﯿر‬ ‫اﻟﻼزم‬ ‫ﯿﺒﻲ‬‫ر‬‫اﻟﺘﺠ‬ ‫اﻟﺒروﺘوﻛول‬ ‫اذﻛر‬
(s)
‫اﻟﻛﺎﻟﺴﯿوم‬ ‫ﺒوﻨﺎت‬‫ر‬‫ﻛ‬ ‫ﻤﻊ‬ ‫اﻟﻼﻛﺘﯿك‬ ‫ﺤﻤض‬ ‫ﺘﻔﺎﻋل‬ ‫ﺤرﻛﯿﺔ‬ ‫اﺴﺔ‬
‫ر‬‫ﻟد‬
: ‫ﺒﺎﻟﻤﻌﺎدﻟﺔ‬ ‫اﻟﻤﻨﻤذج‬
‫اﻟﺸﻜﻞ‬
3
6
/
7
www.ecolerradja.com 0550 92 00 22 / 0561 60 62 09

7. ‫ﺤﺠﻤﻪ‬ ‫دورق‬ ‫ﻓﻲ‬ ‫ﻨدﺨل‬
‫اﻟﻛﺘﻠﺔ‬
m=0,3g
‫اﻟﻛﻠﺴﯿ‬ ‫ﺒوﻨﺎت‬‫ر‬‫ﻛ‬ ‫ﻤن‬
‫وم‬
CaCO3
‫اﻟﻠﺤظﺔ‬ ‫ﻋﻨد‬ ‫ﻓﯿﻪ‬ ‫وﻨﺴﻛب‬
t=0
‫ﺤﺠﻤﺎ‬
‫اﻟﻤﺤﻠول‬ ‫ﻤن‬
(s)
‫اﻟﻔﺤم‬ ‫أﻛﺴﯿد‬ ‫ﺜﺎﻨﻲ‬ ‫ﻏﺎز‬ ‫ﻀﻐط‬ ‫ﻟﺤظﺔ‬ ‫ﻛل‬ ‫ﻓﻲ‬ ‫ﻨﻘﯿس‬
‫اﻟدورق‬ ‫داﺨل‬
‫ة‬
‫ر‬‫ا‬
‫ر‬‫ﺤ‬ ‫درﺠﺔ‬ ‫ﻋﻨد‬
25°
‫ﻟﺠﻬﺎز‬ ‫اﻟﻀﻐط‬ ‫ﻻﻗط‬ ‫اﺴطﺔ‬‫و‬‫ﺒ‬
EXAO
‫ﻓﻲ‬ ‫اﻟﻤﻤﺜل‬ ‫اﻟﺒﯿﺎن‬ ‫ﻋﻠﻰ‬ ‫ﺘﺤﺼﻠﻨﺎ‬
‫اﻟﺸﻛل‬
-
1
2
-
1
‫اﻟﻐﺎز‬ ‫اﻋﺘﺒﺎر‬ ‫ﯿﻤﻛن‬ ‫ﺒﺔ‬‫ر‬‫اﻟﺘﺠ‬ ‫ظروف‬ ‫ﻓﻲ‬
CO2
‫ﻤﺜﺎﻟﻲ‬
‫ﺒﺎﻻﻋﺘﻤﺎد‬
‫اﻟﺘﻘدم‬ ‫ة‬
‫ر‬‫ﻋﺒﺎ‬ ‫أوﺠد‬ ، ‫اﻟﺘﻘدم‬ ‫ﺠدول‬ ‫ﻋﻠﻰ‬
x(t)
‫ﻋﻨد‬ ‫ﻟﻠﺘﻔﺎﻋل‬
‫اﻟﻠﺤظﺔ‬
t
: ‫ﺒدﻻﻟﺔ‬
2
-
2
‫اﻟﻨﻬﺎﺌﻲ‬ ‫اﻟﺘﻘدم‬ ‫ﻗﯿﻤﺔ‬ ‫د‬ّ
‫ﺤد‬
‫ﺘﺎم‬ ‫اﻟﺘﻔﺎﻋل‬ ‫ﻫذا‬ ‫أن‬ ‫اﺜﺒت‬ ‫ﺜم‬ ،
2
-
3
‫اﻟﺘﻔﺎﻋل‬ ‫ﻨﺼف‬ ‫زﻤن‬ ‫ﺒﯿﺎﻨﯿﺎ‬ ‫د‬ّ
‫ﺤد‬
2
-
4
‫اﻟﺘرﺴﺒﺎ‬ ‫اﻟﺔ‬
‫ز‬‫ا‬ ‫ﻋﻤﻠﯿﺔ‬ ‫ﺨﻼل‬
‫ا‬
‫ز‬‫ﻤرﻛ‬ ‫اﻟﻤﻨظف‬ ‫اﺴﺘﻌﻤﺎل‬ ‫ﯿطﻠب‬ ‫ت‬
‫اﺴب؟‬
‫ر‬‫اﻟ‬ ‫اﻟﺔ‬
‫ز‬‫ﻹ‬ ‫اﻟزﻤﻨﯿﺔ‬ ‫اﻟﻤدة‬ ‫ﻋﻠﻰ‬ ‫اﻟﻌﺎﻤﻠﯿن‬ ‫ﻫذﯿن‬ ‫اﺜر‬‫و‬‫ﻤﺎﻫ‬، ‫اﻟﺘﺴﺨﯿن‬‫و‬
.‫اﺠﺎﺒﺘك‬ ‫ل‬ّ‫ﻠ‬‫ﻋ‬
‫ﯿﻌطﻰ‬
:
R =8.314 SI
‫و‬
: ‫اﻟﺜﺎﻨﯿﺔ‬ ‫اﻟﺘﺠرﺒﺔ‬
‫اﻟﻛﺘﻠﯿﺔ‬ ‫اﻟﻤﺌوﯿﺔ‬ ‫اﻟﻨﺴﺒﺔ‬ ‫ﺘﺤدﯿد‬ ‫أﺠل‬ ‫ﻤن‬
‫ﺤﺠﻤﺎ‬ ‫ﻨﺄﺨذ‬ ، ‫ي‬
‫اﻟﺘﺠﺎر‬ ‫اﻟﻤﻨظف‬ ‫ﻓﻲ‬ ‫اﻟﻼﻛﺘﯿك‬ ‫ﻟﺤﻤض‬
‫ﻤن‬
‫اﻟﻤﺤﻠول‬
(s)
‫إﻟﯿﻪ‬ ‫وﻨﻀﯿف‬
100mL
‫ـ‬‫ﻟ‬‫ا‬ ‫ﻗﯿﺎس‬ ‫ﯿق‬‫ر‬‫ط‬ ‫ﻋن‬ ‫اﻟﻨﺎﺘﺞ‬ ‫اﻟﻤﺤﻠول‬ ‫ﻨﻌﺎﯿر‬ ‫ﺜم‬ ، ‫اﻟﻤﻘطر‬ ‫اﻟﻤﺎء‬ ‫ﻤن‬
pH
‫اﺴطﺔ‬‫و‬‫ﺒ‬
‫اﻟﺼودﯿوم‬ ‫ﻫﯿدروﻛﺴﯿد‬ ‫ﻤﺤﻠول‬
‫اﻟﻤوﻟﻲ‬ ‫اﻟﺘرﻛﯿز‬ ‫ذي‬
1
-
‫ا‬
‫ز‬ ‫اﻤﻌدات‬ ‫أﺴﻤﺎء‬ ‫ﻤﻌﯿﻨﺎ‬ ‫ة‬
‫ر‬‫ﻟﻠﻤﻌﺎﯿ‬ ‫ﯿﺒﻲ‬‫ر‬‫اﻟﺘﺠ‬ ‫اﻟﺘرﻛﯿب‬ ‫ﺘﺨطﯿطﯿﻲ‬ ‫ﺒرﺴم‬ ‫ل‬ّ‫ﺜ‬‫ﻤ‬
‫ﻟﻤﺤﻠﯿل‬
2
-
. ‫ة‬
‫ر‬‫اﻟﻤﻌﺎﯿ‬ ‫أﺜﻨﺎء‬ ‫اﻟﺤﺎدث‬ ‫ﻟﻠﺘﺤول‬ ‫اﻟﻤﻨﻤذﺠﺔ‬ ‫اﻟﻛﯿﻤﯿﺎﺌﯿﺔ‬ ‫اﻟﻤﻌﺎدﻟﺔ‬ ‫اﻛﺘب‬
3
-
: ‫اﻟﺒﯿﺎﻨﯿن‬ ‫اﻟﻤﻨﺤﻨﯿﯿن‬ ‫اﻟﺸﻛل‬ ‫ﯿﻤﺜل‬
‫أ‬
-
‫اﻟﻤﺎء‬ ‫اﻀﺎﻓﺔ‬ ‫ﺴﺒب‬ ‫ﻫو‬ ‫ﻤﺎ‬ ، ‫أﯿك‬
‫ر‬ ‫ﻓﻲ‬
‫اﻟﺤﺠم‬ ‫اﻟﻰ‬ ‫ااﻟﻤﻘطر‬
‫ﯿؤﺜر‬ ‫ﻫل‬ ‫؟‬
‫اﻟﻤﺴﻛوب‬ ‫اﻷﺴﺎس‬ ‫ﺤﺠم‬ ‫ﻋﻠﻰ‬ ‫ذﻟك‬
. ‫ل‬ّ‫ﻠ‬‫ﻋ‬ ‫اﻟﺘﻛﺎﻓؤ؟‬ ‫ﻋﻨد‬
‫ب‬
-
‫اﻟﻤوﻟﻲ‬ ‫اﻟﺘرﻛﯿز‬ ‫اﺤﺴب‬
‫اﻟﻤوﻟﻲ‬ ‫اﻟﺘرﻛﯿز‬ ‫اﺴﺘﻨﺘﺞ‬ ‫ﺜم‬
.‫ي‬
‫اﻟﺘﺠﺎر‬ ‫ﻟﻠﻤﻨظف‬
‫ـ‬‫ﺠ‬
-
‫اﻟﻼﻛﺘﯿك‬ ‫ﺤﻤض‬ ‫ﻛﺘﻠﺔ‬ ‫اﺤﺴب‬
‫ﻓﻲ‬ ‫اﺠدة‬‫و‬‫اﻟﻤﺘ‬
1L
‫اﻟﻤﺌوﯿﺔ‬ ‫اﻟﻨﺴﺒﺔ‬ ‫اﺴﺘﻨﺘﺞ‬ ‫ﺜم‬ ، ‫ي‬
‫اﻟﺘﺠﺎر‬ ‫ف‬ّ
‫ظ‬‫اﻟﻤﻨ‬ ‫ﻤن‬
P%
-
‫اﻟ‬ ‫ﻓﻲ‬ ‫اﻟﺜﻘﺔ‬ ‫و‬ ‫ﻛﻴﺰ‬
‫ﺑﺎﻟﺘﺮ‬ ‫ﻋﻠﻴﻜﻢ‬
‫ﻨﻔﺲ‬
-
P(hPa)
0 60
30
t(s)
‫اﻟﺸﻜﻞ‬
1
‫اﻟﺸﻜﻞ‬
2
7
/
7
‫اﷲ‬ ‫وﻓﻘﻜﻢ‬
‫ﻳﺎ‬‫ر‬‫اﻟﺒﻜﺎﻟﻮ‬ ‫اﻣﺘﺤﺎن‬ ‫ﻓﻲ‬
‫ﻳﺪ‬‫ز‬‫ﺑﻮ‬ ‫ﻧﺎﻳﺖ‬ . ‫ف‬ : ‫اﻷﺳﺘﺎذ‬
www.ecolerradja.com 0550 92 00 22 / 0561 60 62 09