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# Work Done Moving an Object to 4R

APPHMC-1B4PBY

What is the amount of work done by gravity when an object of mass $m$ moves from the surface of a planet (with a radius of $R$) to a point $4R$ from the center of the planet?

A

$\cfrac { { -G{ M }_{ planet }m } }{ 16{R}^{2} }$

B

$\cfrac { { -G{ M }_{ planet }m } }{ 4{R}^{2} }$

C

$\cfrac { { -G{ M }_{ planet }m } }{ 4R }$

D

$\cfrac { { -3G{ M }_{ planet }m } }{ 4R }$

E

$\cfrac { { -G{ M }_{ planet }m } }{R }$