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Q.

A car of mass 1200 kg (together with the driver) is moving with a constant acceleration of 2 m/s. How much power does the engine generate at the instance, when the speed reaches 20 m/s? (Assume that the coefficient of friction between the car and the road is 0.5).

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a

288000 W

b

168000 W

c

48000 W

d

120000 W

answer is C.

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Detailed Solution

Power of engine overcomes friction and provides necessary acceleration to the car. Now friction, 
Question Image
f=umg=0.5×1200×10=6000N
And accelerating force, 
 F=ma=1200×2=2400N 
So, total force produced by engine = FT=8400N  We know that, the formula of power is P=FTv then, P = 8400 × 20 = 168000 W.
 

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