# 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).

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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