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Question

A ball comes back after an elastic collision with a wall. If initial momentum of the ball is P, the impulse on the wall after the collision is

A
P
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B
2P
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C
Zero
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D
-2P
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Solution

The correct option is B 2P
Given the ball comes back.
hence, their is no change in the magnitude, the only change in the momentum of the ball is in its direction
initial momentum of ball = P
final momentum = P
change in the momentum of the ball = 2P
change in momentum of the wall = change in momentum of the ball
therefore impulse on the wall = change in momentum of the wall = 2P

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