If a body of mass M collides against a wall with velocity V and rebounds with the same speed, then its change of momentum will be

Zero

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2MV

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-2MV

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Solution

The correct option is C 2MV
Initial velocity of body before collision $u = - V$
where minus sign indicates the body moves towards the wall.
Initial momentum of the body $P_{i} = M u = - M V$
Final velocity of body after collision $v = V$
where positive sign indicates the body moves away from the wall.
Final momentum of the body $P_{f} = M v = M V$
Change in momentum $Δ P = P_{f} - P_{i} = M V - (- M V) = 2 M V$

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