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A sphere (mass 4.5 kg) is held above the planet Klaatu (mass 3.71x10^24 kg, radius 7.71x10^7...

A sphere (mass 4.5 kg) is held above the planet Klaatu (mass 3.71x10^24 kg, radius 7.71x10^7 m). Initially the sphere is distance 2.87R above the surface of Klaatu, where R is the radius of Klaatu. If the sphere is released from rest and there is no friction anywhere, find v, the speed of the sphere just as it strikes the surface of the planet Klaatu, in m/s.

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