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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 x 10 -11 Nm 2 / kg 2 ) (a) 3.33 x 10 -10 J (b) 13.34 x 10 -10 J (c) 6.67 x 10 -10 J (d) 6.67 x 10 -9 J

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 x 10-11 Nm2 / kg2)
 
(a) 3.33 x 10-10 J
(b) 13.34 x 10-10 J
(c) 6.67 x 10-10 J
(d) 6.67 x 10-9 J

Grade:6

1 Answers

Deepak Patra
askIITians Faculty 471 Points
6 years ago

(c) Workdone,

W = ?U = Uf - Ut = 0 – [ -GMm/R]

W = 6.67x 10-11 x 100 / 0.1 x 10/1000 = 6.67 x 10-10 j

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