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27 October, 11:20

when 2 masses r kept 2metre apart there is gravitational force of 2Nwhat is the gravitional force when they r kept at 4m apart?

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  1. 27 October, 12:27
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    Answer: 0.5N

    Explanation:

    Let the two masses be m1 and m2

    Gravitational force 'F' at distance 'r' of 2 m = 2N

    The gravitational force 'F' at an 'r' distance of 4m can be calculated thus:

    The gravitational force of attraction is found using the relation below:

    F = Gm1m2 / r^2

    Where r = distance, m1 and m2 are the masses and G = gravitational constant

    Equation 1:

    F = Gm1m2 / r^2;

    2 = Gm1m2 / 2^2

    Equation 2:

    F = Gm1m2 / r^2;

    F = Gm1m2 / 4^2

    Equating both equations to find 'F';

    2/F = (Gm1m2 / 4) : (Gm1m2 / 16)

    2/F = (Gm1m2 / 4) * (16 / Gm1m2)

    2/F = 16/4

    2/F = 4

    4F = 2

    F = 2/4

    F = 0.5N
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