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A small block of mass m is kept on a rou...

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

A

zero

B

`mgvtcos^2theta`

C

`mgvtsin^2theta`

D

`mgvtsin2theta`

Text Solution

Verified by Experts

The correct Answer is:
C


`f=mgsintheta`
Displacement of the block in time `t`
`s=vt` Work done by friction `=fsinthetavt`
`=mgsin^2thetavt`
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