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A block of mass m slides down a rough in...

A block of mass m slides down a rough inclined plane of inclination `theta` with horizontal with zero initial velocity. The coefficient of friction between the block and the plane is `mu` with `theta gt tan^(-1)(mu)`. Rate of work done by the force of friction at time t is
A.`mumg^(2)tsintheta` B.`mg^(2)t(sintheta-mucostheta)` C.`mumg^(2)tcostheta(sintheta-mucostheta)` D.`mumg^(2)tcostheta`

A

`mu mg^(2) t sin theta`

B

` mg^(2) t ( sin theta - mu cos theta )`

C

`mu mg^(2) t costheta ( sin theta - mu cos theta )`

D

`mu mg^(2) t cos theta `

Text Solution

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The correct Answer is:
C
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