#### Question

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

#### Solution

Force of gravity:

`F = (Gm_1m_2)/r^2`

It is given that r_{2} = 2r_{1}

`:.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.

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Solution The Distance Between Two Bodies is Doubled. How is the Magnitude of Gravitational Force Between Them Affected? Concept: Centre of Gravity.