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Question

A body of mass m hits normally a rigid wall with velocity v and bounces back with the same velocity. The impulse experienced by the body is


A

1.5mv

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B

2mv

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C

zero

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D

1mv

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Solution

The correct option is B

2mv


Step1: Impulse

  1. When a large amount of force is exerted on a body in a very small time, then the force is called impulse.
  2. Impulse is defined as the change in momentum in a small-time, i.e, impulse, p=pf-pi.

Step2: Finding the impulse

The momentum of the body, when it hits the wall is

pi=+mv

The momentum of the body, when it is bounced back is

pf=-mv

Now change in momentum,

p=-mv-mv

or p=-2mv

The impulse experienced by the body is p=-2mv. So Option (B) is correct.


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