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Gravitational Potential Energy

Question

The gravitational potential energy of a body at a distance $r$ from the centre of earth is $U$ . Its weight at a distance $2 r$ from the centre of earth is
$\frac{U}{4 r}$
$\frac{U}{2 r}$
$\frac{U}{\sqrt{2} r}$
$\frac{U}{r}$

A

\frac{U}{2 r}

B

\frac{U}{4 r}

C

\frac{U}{r}

D

\frac{U}{\sqrt{2} r}

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Solution

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$U = \frac{- G M m}{r}$

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