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Question: Answered & Verified by Expert
A small block of mass $\mathrm{m}$ is kept on a rough inclined surface of inclination $\theta$ fixed in a elevator. The elevator goes up with a uniform velocity $\mathrm{v}$ 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:
PhysicsWork Power EnergyBITSATBITSAT 2014
Options:
  • A zero
  • B $\mathrm{mgvt} \cos ^{2} \theta$
  • C $\mathrm{mgvt} \sin ^{2} \theta$
  • D $\mathrm{mgvt} \sin 2 \theta$
Solution:
1279 Upvotes Verified Answer
The correct answer is: $\mathrm{mgvt} \sin ^{2} \theta$
\(\mathrm{W}_{\mathrm{f}}=\mathrm{f} \sin \theta \mathrm{S}\)

\(=(\mathrm{mg} \sin \theta)(\sin \theta)(\mathrm{vt})\)

\(=\mathrm{mg} \sin ^{2} \theta \mathrm{vt}\)

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