How does the force of gravitation between two objects change when the distance between them is reduced to half ?


The gravitational force F between the two bodies of masses M and m is kept at a distance d from each other such that:;

F = G (m1.m2/r2)


m1 and m2 are the masses of the two bodies.

G is the gravitational constant.

r is the distance between the two bodies.

Given that the distance is reduced to half then,

r = 1/2 r


While the force between the two bodies is inversely proportional to the square of the distance between them which is given as:

F = G (m1.m2/(r/2)2)

F= 4G m1.m2/ r2

Therefore, when the distance is halved, the gravitational between these two bodies becomes four times

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