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Q.

A car of mass m starts from rest and acquires a velocity along east v=vi^(v>0) in two seconds.Assuming the car moves with uniform acceleration, the force exerted on the car is

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a

mv2 eastward and is exerted by the car engine

b

mv2 eastward and is due to the friction on the tyres exerted by the road

c

more than mv2 eastward exerted due to the engine and overcomes the friction of the road

d

mv2 exerted by the engine

answer is B.

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Detailed Solution

Given, mass of the car = mAs car starts from rest, u = 0Velocity acquired along east, v=vi^Duration, t = 2 sFrom first equation of motion,v=u+at⇒vi^=0+a×2⇒a=v2i^Force, F=ma=mv2i^Hence, force acting on the car is  mv2 towards east due to friction on the tires exerted by the road.
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