Calculate the force of gravitation due to a child of mass 25 kg on his fat mother of mass 75 kg if the distance between their centres is 1m from each other. Given G = (20/3) × 10 _11 Nm 2 kg
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Explanation:
. If the mass of each body is doubled and distance between them is halved then the force between them will be :
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ANSWER
Given
F
g
=
R
2
G×m
1
×m
1
Doubring both masses and halving distance.
F
g
′
=G×
(
2
R
)
2
2m
1
×2m
2
∴ F
g
′
=
4
1
×R
2
G×4×m
1
×m
2
∴ F
g
′
=
R
2
G×m
1
×m
1
×16
∴ F
g
′
=16 F
g
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