What is the gravitational acceleration of two object at distance equal to half times the radius of the moon from its centre if each object has a mass 12 kg
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Answer:
Newtons Law of Gravitation states that the force of gravity, F
g
, between two particles of mass m
1
and
m
2
has a magnitude of
F
g
=
d
2
Gm
1
m
2
where r is the distance between the center of the two masses and G is the gravitational constant.
In this case, the masses are doubled and the radius is halved. So the Force becomes
F
g
=
(
2
d
)
2
G2m
1
2m
2
=16
d
2
Gm
1
m
2
.
Hence, the new gravitational force will be 16 times more.
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