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How is the gravitational force between two masses affected if the separation between them is doubled ?

Laws of Motion

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Answer

As we know,

F = G m1m2r2\dfrac{m1 m2}{r^2}

If separation between two bodies is doubled then,

F = G m1m2(2r)2\dfrac{m1 m2}{(2r)^2}

Hence,

F = G m1m24r2\dfrac{m1 m2}{4r^2}

Therefore, when the separation between the bodies is doubled the gravitational force reduces to one-fourth.

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