Question

When two bodies are separated by certain distance the
gravitational force between then is F. If distance is
increased by 100%, then gravitational force becomes​

Answer 1

Answer:

Gravitation force will become 1/4th.

Explanation:

Let separation between bodies be r.

then gravitational force can be given as follow,

GMm / r^2 = F ...(1)

if r is increased by 100%,

new distance (r') = 2r

hence,

new force between bodies = GMm / (2r)^2

= GMm / 4r^2

= F / 4 (using ...1)

therefore, force will become 1/4th.