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 $$______$$

Question

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  $$______$$

Infinity Learn · Accepted Answer

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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$\overset{\land}{j}$ component, i,e., component of velocity parallel to wall remains uncharged while $\overset{\land}{i}$ component will become $- \overset{\land}{i} . \bar{v} = - \overset{\land}{i} + 2 \overset{\land}{J}$

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Collisions

Remember concepts with our Masterclasses.

j∧ component, i,e., component of velocity parallel to wall remains uncharged while i∧ component will become −i∧.v−=−i∧+2J∧

Ready to Test Your Skills?

free study material

$\overset{\land}{j}$ component, i,e., component of velocity parallel to wall remains uncharged while $\overset{\land}{i}$ component will become $- \overset{\land}{i} . \bar{v} = - \overset{\land}{i} + 2 \overset{\land}{J}$