Question

Escape velocity of a body of 1 kg mass on a planet is 100m/sec. Gravitational potential energy of the body at the planet is

A) -500 J

B) -1000 J

C) -2400 J

D)  -5000 J

Answer 1

D)  -5000 J

Explanations:

Escape velocity is given by formula

V_e = √ 2Gm/R

Now gravitational potential energy 

U_G  = -GMm/R

U_G = -1/2 mv_e²

U_G = (1*100²)/2

U_G = -5000 J