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Question: A particle of mass 10 g is kept on the surface of a uniform sphere of mass 100 kg and radius 10 cm. ...

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 them

A

13.34 × 10-10J

B

3.33 × 10-10J

C

6.67 × 10-11J

D

6.67 × 10-10 J

Answer

6.67 × 10-10 J

Explanation

Solution

W = ∆U = GMmr\frac { \mathrm { GMm } } { \mathrm { r } }

= 6.67×10−11×100×10−210−1=6.67×10−10 J\frac { 6.67 \times 10 ^ { - 11 } \times 100 \times 10 ^ { - 2 } } { 10 ^ { - 1 } } = 6.67 \times 10 ^ { - 10 } \mathrm {~J}