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0. A car has a mass of 2,000 kg. It is known that the velocity is 20 m/s when the acceleration is 3 m/s. If drag resistance o
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Answer #1

The drag force at velocity 20 m/s is

Fp = 0.2v2 = 0.2 x 204 = 80N

Let F be the traction force on the car. Applying Newton's Second Law along the longitudinal direction

F-FD = ma=F=ma + FD

F = (2000 x 3) + 80 = 6080N

Therefore, the power required by the car at this instant is

P=Fv = 6080 x 20 = 121.6kW

It is given that the engine efficiency is 0.75. Therefore, the power that the engine needs to generate is

P Pengine = 0.75 121.6 0.75 = 162.132W

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