A projectile of mass \( \mathrm{m} \) is thrown vertically up with an initial velocity \( v \) f...

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A projectile of mass \( \mathrm{m} \) is thrown vertically up with an initial velocity \( v \) from the surface of earth (mass of earth \( =\mathrm{M} \) ). If it comes to rest at a height \( \mathrm{h} \), the change in its potential energy is
(1) \( G M m h / R(R+h) \)
(2) \( \mathrm{GMmh}^{2} / \mathrm{R}(\mathrm{R}+\mathrm{h})^{2} \)
(3) \( \mathrm{GMmhR} / \mathrm{R}(\mathrm{R}+\mathrm{h}) \)
(4) \( \mathrm{GMm} / \mathrm{hR}(\mathrm{R}+\mathrm{h}) \)
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