Question

Prove that if the distance is doubled the force decreases
by a factor of 4 .​

Answer 1

Answer:

The gravitational force between two objects is inversely proportional to the square of distance between them.

So, if the distance between two objects is doubled, then the gravitational force becomes

2×2

1

.

That is, 1/4.

Therefore, if the distance between two masses be doubled, then the force between will becomes 1/4.