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

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a

23

b

12

c

14

d

13

answer is C.

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Detailed Solution

according to conservation of linear momentum mu1+0 =mv1+mv2 here v2=2gh=2g5= 10 m/s u1=v1+10 16=v1+10 ; v1= 6 coefficient of restitution e=v2-v1 u1-u2=10-616=14

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