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Kepler's Laws and Earth Satellites

Using Newton's Universal Law of Gravity calculate the:
(a) Force of attraction between the MOON and the EARTH [M sub E = 6.0 x 10 ^24 kg, M sub M = 7.4 x 10^22 kg], [R sub orbit = 3.84 x 10^8].

(b) From part a, calculate the centripetal acceleration of the Moon.

(c) From part b, determine the angular speed omega of the Moon. [v=rw]

(d) From part c, determine the orbital period of the Moon [T = 2 pi/omega]