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Assuming that the gravitational potential energy of an object at infinity is zero, the change in potential energy (final - initial) of an object of mass m, when taken to a height h from the surface of earth (of radius R), is given by,
Detailed Solution
$\Delta U=-GMm\left[\frac{1}{R+h}-\frac{1}{R}\right]=\frac{GMmh}{R(R+h)}$.
