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Question

A small block of mass m is kept on rough inclined surface of inclination $$\theta $$ fixed in an elevator. The elevator goes up with a uniform velocity v and the block does not slide on the wedge. The work done by the force of friction on the block in time t will be 


A
zero
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B
mgvtcos2θ
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C
mgvtsin2θ
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D
mgvtsin2θ
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Solution

The correct option is D $$mgvt\:\sin ^{2}\theta $$
$$W_{f}=f\sin \theta S$$
$$=(mg\sin \theta )(\sin \theta )(vt)$$
$$=mg\sin ^{2}\theta vt$$

Physics

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