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10-02-2020
Physics

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How much does the gravitational force between two objects change if the distance between the objects was to double?

A. Force decreases by a factor of 4
B. Force decreases by a factor of 2
C. Force increases by a factor of 4
D. Force increases by a factor of 2

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10-02-2020

Answer:

A. Force decreases by a factor of 4

Explanation:

Gravitational force between two objects is:

F = Gm₁m₂ / r²

If r is doubled:

Gm₁m₂ / (2r)²

Gm₁m₂ / (4r²)

F / 4

The force decreases by a factor of 4.

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