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Question

Twopersons manage to push a motorcar of mass 1200 kg at a uniformvelocity along a level road. The same motorcar can be pushed by threepersons to produce an acceleration of 0.2 m s−2.With what force does each person push the motorcar? (Assume that allpersons push the motorcar with the same muscular effort)

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Solution

Massof the motor car = 1200 kg

Only twopersons manage to push the car. Hence, the acceleration acquired bythe car is given by the third person alone.

Accelerationproduced by the car, when it is pushed by the third person,

a= 0.2 m/s2

Letthe force applied by the third person be F.

FromNewton’s second law of motion:

Force= Mass × Acceleration

F= 1200 × 0.2 = 240 N

Thus, thethird person applies a force of magnitude 240 N.

Hence,each person applies a force of 240 N to push the motor car.


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