Gravitation Question 129

Question: 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[MP PMT 2002]

Options:

A) ? 5000 J

B) ? 1000 J

C) ? 2400 J

D) 5000 J

Show Answer

Answer:

Correct Answer: A

Solution:

$ [v_{e}=\sqrt{\frac{2GM}{R}}=100,\Rightarrow ,\frac{GM}{R}=5000] $ Potential energy $ [U=-\frac{GMm}{R}=-5000,J] $



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