Suppose the Gravitational Force of the Earth on a Body $F = - \frac { K M _ { E } m } { r ^ { 3 } }$

Multiple Choice

Suppose the gravitational force of the Earth on a body was $F = - \frac { K M _ { E } m } { r ^ { 3 } }$ .What escape velocity v_e would a body need to escape the gravitational field of the Earth?

A) $\nu _ { e } = \sqrt { \frac { K M _ { E } } { 2 R _ { E } ^ { 2 } } }$ .
B) $\nu _ { e } = \sqrt { \frac { K M _ { E } } { R _ { E } ^ { 2 } } }$ .
C) $v _ { e } = \sqrt { \frac { K M _ { E } } { 2 R _ { E } } }$ .
D) $v _ { e } = \sqrt { \frac { K M _ { E } } { R _ { E } } }$ .
E) $\nu _ { e } = \sqrt { K M _ { E } }$ .