Q. 24.6( 48 Votes )

Two persons manage to push a motorcar of mass 1200 kg at a uniform velocity along a level road. The same motorcar can be pushed by three persons to produce an acceleration of 0.2 m s-2. With what force does each person push the motorcar? (Assume that all persons push the motorcar with the same muscular effort).

Answer :

Let, the force applied by each person be F.

So,


Total force applied by two persons = F + F


= 2F (i)


Force of friction, f = 2F (ii)


Now, when three persons apply force to push the motorcar, then:


Total force applied by three persons = F + F + F


= 3F (iii)


Now, the total force applied by three persons is 3F whereas the opposing force of friction is f.


Force that produces acceleration = 3Ff (iv)


As from equation (ii),


f = 2F


Force that produces acceleration = 3F – 2F


= F


Now, Force = Mass × Acceleration


F = m × a


= 1200 × 0.2


= 240 N


Therefore, each person pushes the motorcar with a force of 240 N


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