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Potential Energy of an Object at a Height

An object is ...

Question

An object is propelled vertically to a maximum height of 4R from the surface of a planet of radius R and mass M. The speed of object when it returns to the surface of the planet is

A

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B

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C

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D

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Solution

The correct option is A

$\frac{- G M m}{5 R} + 0 = \frac{- G M m}{R} + \frac{1}{2} m v^{2} V = 2 \sqrt{\frac{2 G M}{5 R}}$

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