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Question

How does the force of gravitation between two objects change when the distance between them is reduced to half?

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Answer

According to the universal law of gravitation, gravitational force (F) acting between two objects is inversely proportional to the square of the distance (r) between them, i.e.,

𝐹 ∝{1\over 𝑟^2}

If distance r becomes r/2, then the gravitational force will be proportional to

{1\over({r \over2})^2}={4\over r^2}

Hence, if the distance is reduced to half, then the gravitational force becomes four times larger than the previous value.

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