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31 July, 11:51

Calculate the total force on the Earth due to Venus, Jupiter, and Saturn, assuming all four planets are in a line. The masses are Mv=0.815ME, MJ=318ME, Msat=95.1ME, Msun=1.99x10^30kg, ME=5.98x10^24kg and the mean distances of the four planets from the Sun are 108, 150, 778, and 1430 million km. Apparently the answer is 9.56x10^17 N but I'm not sure how to get to that.-.,

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  1. 31 July, 13:24
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    You need to consider the following:

    Me (mass of Earth) = 5.98 x 10^24 kg

    Ms (mass of Sun) = 1.99 x 10^30 kg

    G = 6.67 x 10^-11 N

    Formula:

    F = G * M1M2/r^2

    The ratio FT/F = 4.02x10^-4 / 14.8

    = 2.72x10^-5

    Since,

    1/2.72x10^-5 = 36800

    The fraction ratio is 1/36800

    = 9.56x10^17 N
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