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

2 m g R

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3 m g R

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\frac{3}{2} m g R

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\frac{2}{3} m g R

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Solution

The correct option is C $\frac{2}{3} m g R$
Work done $= U_{f} - U_{i}$
$= - \frac{G M m}{2 R + R} - (- \frac{G m m}{R}) = \frac{2}{3} \frac{G m M}{R} = \frac{2}{3} m g R$

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

The correct option is C 23mgRWork done =Uf−Ui=−GMm2R+R−(−GmmR)=23GmMR=23mgR

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

The correct option is C $\frac{2}{3} m g R$
Work done $= U_{f} - U_{i}$
$= - \frac{G M m}{2 R + R} - (- \frac{G m m}{R}) = \frac{2}{3} \frac{G m M}{R} = \frac{2}{3} m g R$