Question

# The amount of work done in lifting a mass '$$m$$' from the surface of the earth to height $$2R$$ is

A
2mgR
B
3mgR
C
32mgR
D
23mgR

Solution

## The correct option is C $$\displaystyle \frac {2}{3}mgR$$Work done $$\displaystyle = U_f-U_i$$$$\displaystyle =-\dfrac {GMm}{2R+R}-\left ( -\dfrac {Gmm}{R} \right )=\dfrac {2}{3}\dfrac {GmM}{R}=\dfrac {2}{3}mgR$$Physics

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