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Question

A ball of mass m moving with a velocity v strikes a wall moving toward the ball with a velocity u. An elastic impact lasts for t sec. Then the mean elastic force acting on the ball is:

A
2mvt
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B
2m(v+u)t
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C
2m(v+2u)t
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D
m(2v+u)t
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Solution

The correct option is A 2m(v+u)t
Here, the ball moves towards the wall in positive direction and hence
relative speed of the ball =(v+u)
While the ball bounces it moves in the opposite direction and speed after rebouncing =(v+u)
And to find the net elastic force we need to add these two forces,

F=mΔvΔt=mt[(v+u)[(v+u)]]
Net elastic force F=2mt(v+u)

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