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