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Question

Physics Question on Gravitation

Energy required to move a body of mass mm from an orbital radius 2R2R to 3R3R is

A

GMm12R2\frac {GMm}{12R^2}

B

GMm6R\frac {GMm}{6R}

C

GMm3R2\frac {GMm}{3R^2}

D

GMm8R\frac {GMm}{8R}

Answer

GMm6R\frac {GMm}{6R}

Explanation

Solution

Energy required change in potential energy = −GMm3R−(−GMm2R)=GMm6R- \frac{GMm}{3R} - \left( - \frac{GMm}{2R} \right) = \frac{GMm}{6R}