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Old Jan 17th 2009, 10:39 AM   #1
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Exclamation gravitational fields

1) A Moon moves around a planet in a circular orbit. The radius of the orbit is 3.84*108 m, its period is 27.3 days and its mass is 7.35*1022 kg.Calculate the force exerted on the Moon in order to keep it in orbit. What is this force?
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Old Jan 18th 2009, 05:24 PM   #2
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Fg = GMm/r
= (6.67*10^-11)(7.35*10^22)M/(3.84*10^8)

T^2 = (39.5/GM)r^3
2358720 = 39.5/(6.67*10^-11M)(5.66*10^25)
2.78*10^-30 = 39.5/M
M = 1.42 * 10^31

(6.67*10^-11)(7.35*10^22)(1.42*10^31)/(3.84*10^8) = 1.82 * 10^35 = Fg
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