Coefficient of resistution problem

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Homework Help Overview

The discussion revolves around a problem related to the coefficient of restitution and its effects on a collision with a wall. Participants are exploring the dynamics of the collision and the transformation of velocity components.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to understand how to express velocity components in different directions (p and n) from the initial components (i and j). There is a focus on the effects of the coefficient of restitution on the collision dynamics.

Discussion Status

Some guidance has been provided regarding the transformation of velocity components and the nature of the collision (inelastic in one direction and elastic in another). However, there is still uncertainty about how to proceed with the calculations.

Contextual Notes

Participants are working under the constraints of a specific part of a homework question and are seeking clarification on the relationships between the velocity components and the coefficient of restitution.

nokia8650
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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.)
 

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