A disc of radius 2 m and mass 100 kg rolls on a horizontal floor. Its centre of mass has speed of 20 cm/s. How much work is needed to stop it?

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1 J

3 J

30 KJ

2 J

answer is B.

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Detailed Solution

Required work done =-Kf-Ki=0+Ki=Ki =12Iω2+12mv2=1212mR2ω2+12mv2 =34mv2=34×100×20×10-22=3 J

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