Question

The gravitational force between two objects is 2000 N. The mass of each object is reduced to one-third of its original mass.

Answer 1

This would suggest that the distance have changed from the original distance which is 1/3.I believe the closest possible answer to this question is The distance must be one-third the original distance.

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Answer 2

Answer

The distance must be one-third the original distance.

Explanation

Gravitational force is the force of attraction between two bodies of given masses. It is calculated by the formula;

Gravitational force = Gm₁m₂/r²

This means, for the gravitational force to remain unchanged, both numerator and denominator has to change by equal value.

The numerator changed by (1/3×1/3 = 1/9).

So, r² must change by the same value which is 1/9.

If r² ⇒ 1/9, then

r ⇒ √1/9

⇒ 1/3

So, this means, for the gravitational force to remain as 200, The distance must be one-third the original distance.