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Q.

A smooth sphere is moving on a horizontal surface with velocity vector2i^+2j^ immediately before it hits a vertical wall. The wall is parallel to j^ vector and the coefficient of restitution between the sphere and the wall is e = ½. The velocity vector of the sphere after in hits the wall is

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a

i^−j^

b

−i^+2j^

c

−i^−j^

d

2i^−j^

answer is B.

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Detailed Solution

Along j^ momentum does not change , along x-axis it changes to –ev =−2⋅12=−1So final velocity =−i+2j
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