A body of mass m collides against a wall with a velocity and rebounds with the same speed. What is the change in its momentum?

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- 2 mv

mv

- mv

answer is B.

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Detailed Solution

The change in momentum for the body is

- 2 mv

.
The principle of conservation of linear momentum states that the momentum of a system is conserved.
If v is the initial velocity of the given object of mass m, its momentum will be:

P = mv

When it rebounds after hitting the wall, its velocity is same, but direction is reversed. The final momentum will be:

P ’ = - mv

The change in the momentum = final momentum – initial momentum

= > = - mv – mv

= > = - 2 mv

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