Q.

A particle of mass 10 g is kept on the surface of a uniform sphere of mass 100 kg and radius 10 cm. Find the work to be done against the gravitational force between them to take the particle far away from the sphere (you may take G=6.67×10−11Nm2/kg2)

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a

6.67×10−9J

b

6.67×10−10J

c

13.34×10−10J

d

3.33×10−10J

answer is B.

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Detailed Solution

Potential energy of system of two massU=−GMmR=−6.67×10−11×100×10×10−310×10−2U=−6.67×10−10JSo, the amount of work done to take the particle up to infinite will be 6.67×10−10J
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A particle of mass 10 g is kept on the surface of a uniform sphere of mass 100 kg and radius 10 cm. Find the work to be done against the gravitational force between them to take the particle far away from the sphere (you may take G=6.67×10−11Nm2/kg2)