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Question

A ball of mass m moves towards a moving wall of infinite mass with a speed 'v' along the normal to the wall. The speed of the wall is 'u' toward the ball. The speed of the ball after elastic collision with wall is

A
u+v away from the wall
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B
2u+v away from the wall
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C
|uv| away from the wall
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D
|v2u| away from the wall
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Solution

The correct option is B 2u+v away from the wall
In the frame of wall, the ball moves towards it with speed u+v and due to momentum conservation velocity after collision returns with velocity u+v in the direction in which wall is moving.
So from the ground frame, the velocity of ball after collision with wall is 2u+v.

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