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Question

A block of mass m slides along the track with kinetic friction μ. A man pulls the block through a rope which makes an angle θ with the horizontal as shown in the figure. The block moves with constant speed V. Power delivered by man is :

117409_be8302ba0e684a838a14306af0141fe2.png

A
TV
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B
TVcosθ
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C
(Tcosθμmg)V
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D
Zero
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Solution

The correct option is B TVcosθ
The body is moving with constant speed, so the work is done by the horizontal component of the force.
Horizontal component is Tcosθ
Power=Force×speed=Tcosθ(V)=TVcosθ

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