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Q. A satellite of earth of mass ' $m$ ' is taken from orbital radius $2 R$ to $3 R$, then minimum work done is :-

Gravitation

Solution:

$W = E _{2}- E _{1}$
$=\frac{ GMm }{2}\left(\frac{1}{2 R }-\frac{1}{3 R }\right)$
$=\frac{ GMm }{12\, R }$