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1

:

:1-F

'F

.............................................................................................................................................................................

2-F

'F

. ....................................................................................................................................................................

3-2

. '' .

m mF F G

d= =

....................................................................................................................................................................................

..................................................................................................................................................................................5-

:

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2

1-2-24

11

2 6 2

. 5,98.10 .0,1. 6,67.10 0,98

(6,38.10 )

T

T

M m kg kgF G N

R m

= =

:9,8 / .0,1 0,98P mg N kg k g N = = =. = .

.......................................................................................................................................................................1-3- 100g 8840h m=.

2411

2 6 2

. 5,98.10 .0,1. 6,67.10 0,977( ) (6,38.10 8840 )

T

T

M m kg kgF G N

R h m m

= = =

+ +

........................................................................................................................................................................2-2-1- .

30 2411 22

2 11 2

. 2.10 .5,98.10. 6,67.10 . 3,54.10

(1,5.10 )

T S

TS

M M kg kgF G N

d m

= =

..............................................................................................................................................................................2-2-

:

-.TS T ST

d R d

:3011 4

2 11

. 0,1 .2.10' . 6,67.10 . 5,9.10(1,5.10 )

S

TS

m M kg kgF G Nd m

= =

..............................................................................................................................................................................2-3- .

:0,98F N=

:4' 5,9.10F N=

:

4

9,8

1661' 5,9.10

F

F = =1661. 'F F= 1661.

2

.' .

( )

S

TS T

m MF G

d R=

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7/30/2019 Exercice Sla Gravitation Universe Lle

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4

=\ :24 3

11

2 3 2

. 6.10 .2,5.106,67.10 . 0,0246

(6378.10 )

T

T

M m kg kgF P G N

R m

= = =

= .

2

22 311

3 2

3

.' '

7,36.10 .2,5.106,67.10 .

(1737,4.10 )

4,07.10

L

L

M mF P G R

N

= =

=

' 4,07.10P

P=

3

0,02466

' 4,07.10

P

P = ='

6

PP =

.3( .

: 616

1- :2

.. T LM M

F Gd

=

:356375d km=

2424

30

3

6.106.10 .

83. 3,4.10(356375 10 )

kgkg

F G Nm

=

.............................................................................................................................................................................2-

:406720d km=24

24

30

3

6.106.10 .

83. 2,6.10(406720 10 )

kgkg

F G Nm

=

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5

: 716

: 1-

:

1 2

.. TM m

F G d=

:

2 2

..( )

LM m

F GD d

=

...................................................................................................................................................................................2- :

1 2F F=

:2 2

. .. .

( )

T LM m M m

G Gd D d

=

2 2

( )

T LM M

d D d=

2

2

( )L

T

MD d

d M

=

L

T

MD d

d M

=1 L

T

MD

d M =1 L

T

MD

d M= +

:5

53,84.103,46.10

1

11 83

L

T

D kmd km

M

M

= = =

++

: 816

7/30/2019 Exercice Sla Gravitation Universe Lle

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6

:

1- o

F .

2.. To

T

M mF GR

=

2-F .

2

.. T

s

M mF G

r=

3- h 16

oFF =.16oFF=

2

.. T

o

T

M mF G

R=:

2

.. T

s

M mF G

r=

22 2

2

22

. 1.

. 1.

T

o sT T

T T

ss

M mG

F rR R

M mF RG

rr

= = =

:16o

F

F=

2

2 16

s

T

r

R=

2 2

16s Tr R=

:4s Tr R=

:s T

r R h= +:s T

h r R=

:4 3 3.(6378) 1934T T T

h R R R km= = = =

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7

: 916

:1-: F .

:

SL ST TLD D D= +

61 . 150.10TL

D U A km= =

: F .

:

SL ST TLD D D=

....................................................................................................................................................................................3- :

24 211 11 20

2 6 2 6 2

.. .(6.10 )83. 6,67.10 . 6,67.10 . 2.10

(384.10 ) 83.(384.10 )

TT

T L

TL

MM

M M kgF G N

D m m

= = =

.....Sbiro Abdelkrim lyce agricole Oulad Taima rgion d'Agadir Royaume du Maroc