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Updated on : 2022-09-05

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Correct option is C)

A ball of mass, m, moving with initial velocity, u to the right towards a wall.

It will have momentum $p_{i} =mu$ towards the right.

The ball bounces off the wall. It will now be moving to the left, with the same mass, but a different velocity, v and therefore, a different momentum,$p_{f} =mv$ towards the left.

The final momentum vector must be the sum of the initial momentum vector and the change in momentum vector, $△p =m△v $ .

Using tail to head vector addition, $△p $, must be the vector that starts at the head of $p_{i} $ and ends on the head of $p_{f} $, hence the resultant change in momentum vector will point towards the left, that is, away from the wall.

We also know from algebraic addition of vectors that:

$p_{f} =p_{i} +△p $

$p_{f} −p_{i} =△p $

Direction of change in momentum is towards the left, away from the wall.

Solve any question of Laws of Motion with:-

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