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MHT CET 2021 (22 Sep, Shift 1) · Power

Power question from MHT CET 2021 (22 Sep, Shift 1)

Q28MHT CET 2021 · 22 SEP · SHIFT 1Medium

Power

A car of mass ' $m$ ' moving with velocity ' $u$ ' on a straight road in a straight line, doubles its velocity in time t. The power delivered by the engine of a car for doubling the velocity is

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Answer: (a)

Work done = change in KE (work-energy theorem).
$W = \dfrac{1}{2}m(2u)^2 - \dfrac{1}{2}mu^2 = \dfrac{3}{2}mu^2$
$P = \dfrac{W}{t} = \dfrac{3mu^2}{2t}$
So the answer is (a).

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