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Work Done in a Gravitational Field: From Infinity

APPH12-KYTSPR

What is the amount of work done by gravity in moving an object of mass $m$ from infinity to the surface of a planet with mass $M$ and radius $R$?

A

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

B

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

C

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

D

$\infty$