Question

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

Answer 1

Explanation:

The force of gravitation between two objects is inversely proportional to the square of the distance between them therefore the gravity will become four times if distance between them is reduced to half.

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Answer 2

According to the law of gravitation,

• Force between any two objects of mass M and m is directly proportional to their masses and inversely proportional to the square of the distance between them.

⠀⠀⠀⠀⠀⠀⠀F = G Mm / r²

So, if Distance is halved, i.e r/2

⠀⠀⠀⠀⠀⠀F = G Mm / (r/2)²

⠀⠀ ⠀⠀⠀ F = 4 G Mm / r²

✨ Thus, Force of gravitation increases by 4 times when distance reduced by half.