Question

A man weighing 80 kg is standing on a trolley weighing 320 kg. The trolley is resting on a frictionless horizontal rail. If the man starts walking on the trolley along the rail at a speed of 1 m/s, then after 4 sec, his displacement with respect to ground will be?

Answer 1

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Answer 2

Answer:

The displacement of man is 3.2 m.

Explanation:

Given that,

Mass of man = 80 kg

Mass of trolley = 320 kg

Time = 4 sec

Speed of man = 1 m/s

We need to calculate the displacement of man

Using formula of displacement

$D=v\times t$

Put the value into the formula

$D=1\times4$

$D=4\ m$

Here, No external force so the center of mass is at rest.

$m_{1}x=m_{2}x_{2}$

Put the value into formula

$320x=80\times(4-x)$

$x=\dfrac{4}{5}=0.8\ m$

The displacement is

$x'=4-0.8=3.2\ m$

Hence, The displacement of man is 3.2 m.