Q.

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 the coefficient of restitution between the sphere and the wall is e = 1/2. The velocity vector of the sphere after it 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

j^ component, i.e., component of velocity parallel to wall remains unchanged while i^ component will become (-1/2)(2i^)  or  −i^ . Therefore, velocity vector of the sphere after it hits the wall is −i^+2j^
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