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Q.

A uniform solid sphere of mass 0.5kg rolls on a horizontal surface without slipping. If the velocity of centre of mass is 4 cms–1, the work done in stopping sphere is

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a

8 × 10–4J

b

2.4 × 10–4J

c

1.6 × 10–4J

d

5.6 × 10–4J

answer is B.

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Detailed Solution

Work done = ∆KE
Ki-Kf=12mv21+K2R-0

=12(0.5)(4 x 10-2)21+25

W = 5.6 x 10-4 J

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A uniform solid sphere of mass 0.5kg rolls on a horizontal surface without slipping. If the velocity of centre of mass is 4 cms–1, the work done in stopping sphere is