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The mass of the Earth is approximately 5.98 ✕ 10^24 kg, and the mass of the Moon is approximately 7.35 ✕ 10^22 kg. The Moon and the Earth are separated by about 3.84 ✕ 10^8 m.

If Serena is on the Moon and her mass is 35.7 kg, what is the magnitude of the gravitational force on Serena due to the Moon? The radius of the Moon is approximately 1.74 ✕ 10^6 m.

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  1. F = G Mmoon Mserena / R^2
    = 6.67*10^-11 * 7.35* 10^22 * 35.7 / (1.74^2*10^12)
    = 16.1 * 10^10^-1 * 35.7 = 1.61 * 35.7 Newtons = 57.5
    I did it that way because I happen to recall that g moon is about 1/6 g earth
    and sure enough
    9.8/6 = 1.63

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