First slide

Gravitaional potential energy

Question

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

Easy

A

$\frac{GMm}{12 R}$
B

$\frac{GMm}{3 R}$
C

$\frac{GMm}{8 R}$
D

$\frac{GMm}{6 R}$

Solution

Required energy $= {TE}_{2} - {TE}_{1} = - \frac{GMm}{2 (3 R)} - (- \frac{GMm}{2 (2 R)}) = \frac{GMm}{12 R}$

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