Q. Escape velocity of a body of $1\ kg$ mass on a planet is $100\ m/sec$. Gravitational Potential energy of the body at the Planet is
A) $- 5000\ J$
B) $- 1000\ J$
C) $- 2400\ J$
D) $5000\ J$
Explanation
(a) $v_{e} = \sqrt{\frac{2GM}{R}} = 100 \Rightarrow \frac{GM}{R} = 5000$
Potential energy $U = - \frac{GMm}{R} = - 5000\ J$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.