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An engine of one metric ton is going up an inclined plane 1 in 2 at the rate of 36 km/hr. If the coefficient of friction is (1/√3), the power of the engine in watt is

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a
98 watt
b
98 k watt
c
980 watt
d
72 k watt

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detailed solution

Correct option is B

The situation is shown in fig,Power P=F×VGiven v=36km/hr=36×518m/sF=mgsin⁡θ+f=mgsin⁡θ+μmgcos⁡θ =mg(sin⁡θ+μcos⁡θ) =1000×9⋅8(0⋅5+13×32) (∵sin⁡θ=12 and cos⁡θ=32) =9800N∴P=9800×10=98k watt.


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