The gravitational force between two objects is F. If the distance between them is reduced to 1/4th. Now find the
force between them.
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Given:
The gravitational force between two objects is F
To Find:
The new force between them if the distance between them is reduced to 1/4th
Solution:
The force between them is 16F.
Two objects of masses m and M separated by a distance r exert an attractive gravitational force on each other.
The magnitude of this force is given by F = GmM/r²
Here G is the Gravitational Constant.
This force is independent of the medium between the two objects.
From the above equation, we can conclude that
F ∝ 1/r²
According to the question,
r is reduced to 1/4th of the initial value
⇒ F increases by 4²
⇒ The new force F' = 16 F
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