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13 July, 20:14

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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Answers (1)
  1. 13 July, 23:30
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    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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