Two asteroids are located a certain distance away from each other. They have the same mass . The gravitational force of attraction is f . If

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Two asteroids are located a certain distance away from each other. They have the same mass . The gravitational force of attraction is f . If the mass of one of the asteroids is doubled, how will the gravitational force be affected

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Lệ Thu 2 months 2021-07-29T22:35:59+00:00 1 Answers 1 views 0

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    2021-07-29T22:37:39+00:00

    Answer:

    F’ = 2F

    Explanation:

    The gravitational force of attraction between asteroids is given by Newton’s Law of Gravitation:

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

    where,

    F = Force

    G = Universal Gravitational Constant

    m₁ = m₂ = m = mass of each asteroid

    r = distance between asteroids

    Therefore,

    F = \frac{Gm^2}{r^2}   ——————— eq(1)

    Now, if we double the mass of one asteroid:

    F' = \frac{G(2m^2)}{r^2} \\\\F' = 2\frac{Gm^2}{r^2}

    using equation (1):

    F’ = 2F

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