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Q.

A smooth sphere is moving on a horizontal surface with velocity vector 3i∧+j∧  immediately before it hits a vertical wall. The wall is parallel to the vector j∧ and the coefficient of restitution between the wall and sphere is 1/3. The velocity vector of the sphere after it hits the wall is :

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a

i∧+j∧

b

3i∧−j∧/3

c

−i∧+j∧

d

i∧−j∧

answer is C.

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Detailed Solution

Along perpendicular of walls Vx=−eux   Vx=−13×3     Vr=ur=j^  V−1=V      x−1+V      y−1=−i^+J^
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