An object is released from rest at a distance h above the surface of a planet (mass = M, radius = R

Question

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) $\left[\frac{2 G M /}{R-h}\right]^{1 / 2}$

Quizplus · Accepted Answer

The Answer of 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) $\left[\frac{2 G M /}{R-h}\right]^{1 / 2}$

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

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