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Q.

A block sliding down a rough 45° inclined plane has half the velocity it would have had, the inclined plane been smooth. The coefficient of sliding friction between block and the inclined plane is

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a

12

b

34

c

122

d

14

answer is B.

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Detailed Solution

Vrough =Vsmooth 22glsin⁡θ−μkcos⁡θ=2glsin⁡θ2sin⁡θ−μkcos⁡θ=sin⁡θ43sin⁡θ=4μkcos⁡θ⇒μk=34tan⁡θμk=34tan⁡45∘=34

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