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28 May, 01:34

The earth has a mass ME = 5.98 · 1024 kg and the moon has a mass MM = 7.36 · 1022 kg. The distance from the center of the earth to the center of the moon is r = 3.82 · 105 km. What is the gravitational force between the earth and moon?

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  1. 28 May, 01:39
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    2 x 10^20 N

    Explanation:

    Me = 5.98 x 10^24 kg

    Mm = 7.36 x 10^22 kg

    r = 3.82 x 10^5 km = 3.82 x 10^8 m

    The gravitational force between earth and moon is

    F = G Me x Mm / r^2

    F = (6.67 x 10^-11 x 5.98 x 10^24 x 7.36 x 10^22) / (3.82 x 10^8 x 3.82 x 10^8)

    F = 2 x 10^20 N
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