A car of mass 1000 kg accelerated uniformly from rest to a velocity of 54 km/h in 5 s. Find the average power of the engine during this period.

22.5 k W

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45 k W

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60 k W

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90 k W

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Solution

The correct option is A $22.5 k W$
Mass of car, m = 1000 kg
velocity after 5s, $v = 54 k m / h = \frac{54 \times 1000}{3600} m / s v = 15 m / s Kinetic energy of car after 5s = \frac{1}{2} m v^{2} A v e r a g e P o w e r = \frac{E}{t} = \frac{1}{2} \frac{m v^{2}}{t} = \frac{1}{2} \times \frac{1000 \times 15 \times 15}{5} W = 22500 W 1 k W = 1000 W a t t Average power of engine = 22.5 kW$

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