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

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