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Question
A body of mass m is moving in a circular orbit of radius R about a planet of mass M. At some instant, it splits into two equal masses. The first mass moves in a circular orbit of radius ${R \over 2},$ and the other mass, in a circular orbit of radius ${3R \over 2}$. The difference between the final and initial total energies is :
$ - {{GMm} \over {2R}}$
$ + {{GMm} \over {6R}}$
${{GMm} \over {2R}}$
$ - {{GMm} \over {6R}}$

Solution

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