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Describe how the gravitational force between two objects depends on the distance between them.

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Describe how the gravitational force between two objects depends on the distance between them.

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The gravitational force F between two bodies of masses M and m kept at a distance d from each other is

F = \(G \times \frac{m \times M}{d^2}\)

The force between two bodies is inversely proportional to the square of the distance between them. That is,

F ∝ \(\frac{1}{d^2}\)

Therefore, if we double the distance between two bodies, the gravitational force becomes one-fourth and if we halve the distance between two bodies, then the gravitational force becomes four times.

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