A particle of mass \( 50 \mathrm{~g} \) is kept on the surface of a uniform sphere of mass \( 12...

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A particle of mass \( 50 \mathrm{~g} \) is kept on the surface of a uniform sphere of mass \( 120 \mathrm{~kg} \) and radius \( 50 \mathrm{~cm} \). Find the work to be done against the gravitational force between them (in \( \mathrm{nJ} \) ) to take the particle far away from the sphere. Take \( G=6.67 \) \( \times 10^{-11} \mathrm{~N} \mathrm{~m}^{2} \mathrm{~kg}^{-2} \)
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