Escape velocity of a body of 1 kg mass on

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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 ......... $J$.

A

$-5000$

B

$-1000$

C

$-2400$

D

$5000$

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 ......... $J$.

${v_e} = \sqrt {\frac{{2GM}}{R}} = 100\, \Rightarrow \,\frac{{GM}}{R} = 5000$

Potential energy $U = - \frac{{GMm}}{R} = - 5000\,J$