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BITSAT 2014
Exam
BITSAT
Year
2014
Subject
Physics
Chapter
Work, Power and Energy

BITSAT 2014 · Physics · Work, Power and Energy

A small block of mass m is kept on a rough inclined surface of...

A small block of mass m\mathrm{m} is kept on a rough inclined surface of inclination θ\theta fixed in a elevator. The elevator goes up with a uniform velocity v\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:

Options

  1. Azero
  2. Bmgvtcos⁡2θ\mathrm{mgvt} \cos ^{2} \theta
  3. Cmgvtsin⁡2θ\mathrm{mgvt} \sin ^{2} \theta
  4. Dmgvtsin⁡2θ\mathrm{mgvt} \sin 2 \theta

Correct answer

C. mgvtsin⁡2θ\mathrm{mgvt} \sin ^{2} \theta

Step-by-step solution

(Wf=fsin⁡θS\mathrm{W}_{\mathrm{f}}=\mathrm{f} \sin \theta \mathrm{S}) (=(mgsin⁡θ)(sin⁡θ)(vt)\mathrm{mg} \sin \theta)(\sin \theta)(\mathrm{vt})) (=mgsin⁡2θvt\mathrm{mg} \sin ^{2} \theta \mathrm{vt})
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