An Object Is Released from Rest at a Distance H $\left[\frac{2 G M h}{R(R+h)}\right]^{1 / 2}$

question 43

Multiple Choice

An object is released from rest at a distance h above the surface of a planet (mass = M, radius = R < h) . With what speed will the object strike the surface of the planet? Disregard any dissipative effects of the atmosphere of the planet.

• A) \(\left[\frac{2 G M h}{R(R+h)}\right]^{1 / 2}\)
• B) \(\left[\frac{2 G M M}{R}\right]^{1 / 2}\)
• C) \(\left[\frac{2 G M(h-R)}{R h}\right]^{1 / 2}\)
• D) \(\left[\frac{2 G M M}{R+h}\right]^{1 / 2}\)
• E) \(\left[\frac{2 G M /}{R-h}\right]^{1 / 2}\)

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Definitions:

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