question_answer

The work done required to increase the separation distance from \[{{\operatorname{x}}_{1}} to {{x}_{1}}+d\]between two masses \[{{\operatorname{m}}_{1}} and {{m}_{2}}\]is

A) \[\frac{G{{m}_{1}}{{m}_{2}}d}{{{x}_{1}}\left( {{x}_{1}}+d \right)}\]

B) \[\frac{G{{m}_{1}}{{m}_{2}}{{x}_{1}}}{\left( {{x}_{1}}+d \right)d}\]

C) \[\frac{-G{{m}_{1}}{{m}_{2}}{{x}_{1}}}{\left( {{x}_{1}}+d \right)}\]

D) none of these