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What Happens to the Force Between Two Objects, If the Distance Between the Objects is Doubled and Tripled? - Universal Law of Gravitation

What happens to the force between two objects, if the distance between the objects is doubled and tripled?

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Solution

According to the universal law of gravitation, the force of gravitation between two objects is given by:-

`F=(Gm_1m_2)/r^2`

F is inversely proportional to the square of the distances between the objects. If the distance is doubled, then the gravitational force becomes one-fourth of its original value.

Similarly, if the distance is tripled, then the gravitational force becomes one-ninth of its original value.

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