Calculating the Coefficient of Restitution: A Quick Guide

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Discussion Overview

The discussion revolves around the coefficient of restitution, focusing on its definition and calculation in the context of collisions, particularly elastic collisions. Participants explore different formulations and interpretations of the concept.

Discussion Character

  • Technical explanation, Conceptual clarification

Main Points Raised

  • One participant requests the equation for the coefficient of restitution, indicating a moment of forgetfulness.
  • Another participant provides a formula for the coefficient of restitution, relating the speed of separation to the speed of approach.
  • A third participant presents a specific case of the coefficient of restitution for an object bouncing off a floor, defining it in terms of initial and final speeds.
  • It is noted that for perfectly elastic collisions, the coefficient of restitution equals 1.
  • A later post humorously comments on the timing of responses, suggesting a light-hearted tone in the discussion.
  • One participant confirms the formula provided earlier, reinforcing its accuracy.

Areas of Agreement / Disagreement

Participants generally agree on the formula for the coefficient of restitution, but there are variations in how it is expressed and applied in different contexts. No significant disagreements are noted, but the discussion remains informal and exploratory.

Contextual Notes

Some assumptions about the conditions of collisions (e.g., perfectly elastic vs. inelastic) are implied but not explicitly stated. The discussion does not delve into the mathematical derivations or limitations of the provided formulas.

Who May Find This Useful

This discussion may be useful for students or individuals seeking clarification on the coefficient of restitution and its application in collision scenarios.

BMcN
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Whats the equation for the coefficient of restitution again? Went blank!
 
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Code: 
Coefficient of Restitution = Speed of Separation = v[sub]1[/sub]-v[sub]2[/sub]
                             -------------------   -----
                              Speed of Approach    u[sub]1[/sub]-u[sub]2[/sub]
 
For the simple case of something bouncing off the floor (or any immoveable object) the coefficient of restitution is:

c = vf/v0
where v0 is the speed of the object before the collision, and vf is the speed after the collision.

For perfectly elastic collisions, c = 1.
 
It's like waiting for a bus, you have to wait for ages and then two come along at once.
 
v1-v2/u1-u2, that's the one, that's guys!
 

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