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Gravitational Potential Energy

Question

Energy required to move a body of mass m from an orbit of radius 2R to 3R is:

A

\frac{G M m}{12 R^{2}}

B

\frac{G M m}{3 R^{2}}

C

\frac{G M m}{8 R}

D

\frac{G M m}{6 R}

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Solution

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$Energy required = (Final potential-Initial potential)m$
$Energy required = - \frac{G M m}{3 R} - \frac{- G M m}{2 R} = \frac{G M m}{6 R}$

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