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A Small Block of Mass M Is Kept on a Rough Inclined Surface of Inclination θ Fixed in an Elevator. the Elevator Goes up with a Uniform Velocity V And the Block Does Not Slide on the Wedge. - Physics

MCQ

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

Options

  • zero

  • mgvt cos2θ 

  • mgvt sin2θ

  • mgvt sin 2θ

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Solution

 mgvt sin2θ
Distance (d) travelled by the elevator in time t = vt
The block is not sliding on the wedge.
Then friction force (f) = mg sin \[\theta\] Work done by the friction force on the block in time t is given by

\[W = Fd\cos(90 - \theta)\]

\[ \Rightarrow W = \text{ mg } \sin\theta \times d \times \cos(90 - \theta)\]

\[ \Rightarrow W = \text{ mgd } \sin^2 \theta\]

\[ \therefore W = \text{ mgvt } \sin^2 \theta\] 

 
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APPEARS IN

HC Verma Class 11, 12 Concepts of Physics 1
Chapter 8 Work and Energy
MCQ | Q 8 | Page 131
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