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  • The energy required to remove a body of mass  from earth's surface is/are equal to

The energy required to remove a body of mass \mathrm{ m} from earth's surface is/are equal to
 

Option: 1

\frac{\mathrm{GMm}}{\mathrm{R}}
 


Option: 2

\mathrm{mgR}
 


Option: 3

\mathrm{-m g R}
 


Option: 4

None of these.


Answers (1)

best_answer

The potential energy of the body on the surface of each \mathrm{=U_1=-\frac{G M m}{R}}.

The potential energy of the body in the surface at infinity \mathrm{U_2=0}

\mathrm{ \Rightarrow \Delta \mathrm{U}=\mathrm{U}_2-\mathrm{U}_1=\frac{\mathrm{GMm}}{\mathrm{R}}=\operatorname{mgR}\left(\because \mathrm{g}=\frac{\mathrm{GMm}}{\mathrm{R}^2}\right) }

Hence option 2 is correct.
 

Posted by

HARSH KANKARIA

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