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A smooth sphere is moving on a horizontal surface with velocity vector 2i¯+2j¯  immediately before it hits a vertical wall.  The wall is parallel to j¯  vector and coefficient of restitution between sphere and wall is e=12 .  The velocity vector of sphere after it hits the wall is

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a
i¯−j¯
b
−i¯+2j¯
c
−i¯−j¯
d
2i¯−j¯

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detailed solution

Correct option is B

Component of velocity parallel to wall remain unchanged while i^  component will become =eux=(−12)(2i¯) or −i¯  Velocity vector of sphere after it hits the wall is −i¯+2j¯


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