Question

The gravitational force between two objects is F. How will the force change when the distance between them is reduced to 1/4 th ?

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Answer 1

We know, that the force of gravitation between two objects is inversely proportional to the square of distance between them.

That is, F∞1/r²

Now when the distance between two objects is reduced to 1/4tg that's is made ¼,then the force between them will become 16

i.e. (1/¼)²

= 16

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Answer 2

Answer:

The force change will change to 16F when the distance between the objects is reduced to 1/4th

Explanation:

The formula of gravitational force is given by,

$F=Gm1m2/r^{2}$ (where r is the distance between the two objects)

Gravitational force is indirectly proportional to the square of r.

If r is reduced to 1/4th, F will increase by 4²

4²=16.

Therefore, the force change will change to 16F when the distance between the objects is reduced to 1/4th