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JEE PHYSICS MCQ: WORK-ENERGY-POWER

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An engine is hauling a train of mass M kgM \mathrm{~kg} on a level track at a constant speed v ms−1v \mathrm{~m} \mathrm{s}^{-1}. The resistance due to friction is f N kg−1f \mathrm{~N} \mathrm{~kg}^{-1}. What extra power must the engine develop to maintain the speed up a gradient of hh in travelling distances ss up a incline?
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Correct option: A
mghvs\frac{m g h v}{s}
Option A (mghvs\frac{m g h v}{s}) is correct because the extra power is the product of the extra force needed to overcome gravity and the velocity.

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