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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 the coefficient of restitution between the sphere and the wall is e=12.  If velocity vector of the sphere after it hits the wall is −xi∧+yJ∧ then yx  is equal to ______

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answer is 2.

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Detailed Solution

j∧  component, i,e., component of velocity parallel to wall remains uncharged while i∧  component will become −i∧.v−=−i∧+2J∧
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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 the coefficient of restitution between the sphere and the wall is e=12.  If velocity vector of the sphere after it hits the wall is −xi∧+yJ∧ then yx  is equal to ______