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Question

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


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