The gravitational force between two objects has a magnitude of F. If both masses were doubled and the distance between them doubled, the new

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The gravitational force between two objects has a magnitude of F. If both masses were doubled and the distance between them doubled, the new force would have what magnitudes?

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Hồng Cúc 5 years 2021-07-27T14:21:35+00:00 1 Answers 22 views 0

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  1. Bo
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    2021-07-27T14:23:15+00:00
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    Answer:

    F’ = F

    Explanation:

    The gravitational force of attraction between two objects can be given by Newton’s Gravitational Law as follows:

    F = \frac{Gm_1m_2}{r^2}

    where,

    F = Force of attraction

    G = Universal gravitational costant

    m₁ = mass of first object

    m₂ = mass of second object

    r = distance between objects

    Now, if the masses and the distance between them is doubled:

    F' = \frac{G(2m_1)(2m_2)}{(2r)^2}\\\\F' = \frac{Gm_1m_2}{r^2}

    F’ = F

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