Coefficient of resistution problem

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I think you need to determine how the coefficient of restitution will affect the collision with the wall. The component that is perpendicular to the wall (n) should experience the inelastic collision, while I think the p component should remain unaffected.
 
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Thanks for the reply. Yes I know this, however I don't know how to proceed; how to I form the velocity in p and q from i and j?

Thanks a lot!
 
You have the transform already that 9/5 n + 13/5 p are the components in n,p of the final velocity in i,j.

So working in n,p you have an inelastic collision in n and elastic in p for which you have the final velocities, and the coefficient of restitution.

So you can solve directly in n,p and then employ the conversion to i,j can't you?

(Note: I incorrectly typo'ed that i was the component perpendicular to p when it was n. I have corrected that. Sorry if it added to any confusion.)