The gravitational force between two bodies is 1n if the distance between them is doubled

The distance between two bodies is doubled. How is the magnitude of the gravitational force between them affected?

Force of gravity:

`F = (Gm_1m_2)/r^2`

It is given that r2 = 2r1

`:.F_2/F_1 = r_1^2/r_2^2 = r_1^2/(4r_1^2) = 1/4`

`:. F_2 = 1/4 F_1`

Therefore, the force of gravity is reduced four times.

Concept: Centre of Gravity

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