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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 $0.2 m / s^{2}$ . Find the force with which each person is pushing assuming that all persons push the motorcar with the same muscular effort.

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120 N

240 N

60 N

80 N

answer is B.

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Detailed Solution

Two people 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 people to produce an acceleration of

0.2 m / s^{2}

.
The force with which each person is pushing assuming that all of them push the motorcar with the same muscular effort is

80 N .

Given, mass of the motorcar,

m = 1200 kg

, acceleration,

a = 0.2 m / s^{2}

From Newton’s second law of motion,

F = ma

\Rightarrow F = 1200 \times 0.2

\Rightarrow F = 240 N

This means the net force acting on the car is

240 N

when 3 people are pushing the car. And we know that the net force acting on the car when 2 people are pushing it was

0 N

since it was moving with a uniform velocity. This means that the force applied by third person is

240 N

.
∴ each person push the motorcar with

240 / 3 = 80 N

force.

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