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Question: Two identical balls of equal masses A and B, are lying on a smooth surface as shown in the figure. B...

Two identical balls of equal masses A and B, are lying on a smooth surface as shown in the figure. Ball A hits the ball B (which is at rest) with a velocity v = 16 m/s. What should be the minimum value of coefficient of restitution e between A and B so that B just reaches the highest point of inclined plane. (g = 10 m/s2)

A

2/3

B

¼

C

½

D

1/3

Answer

¼

Explanation

Solution

e = (v2 –v1)/ v , mv = mv1 + mv2

1/2mv22 = mg × J

̃ v2 = 10 m/s , 16 = v1 + 10, v1 = 6m/s

e = (10–6)/16 = ¼