Calculating coefficient of resitution

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SUMMARY

The coefficient of restitution (COR) quantifies the elasticity of collisions between two objects, rather than being an intrinsic property of each object. In the discussion, Ball 1 has a COR of 0.8 with the ground, while Ball 2 has a COR of 0.7. The inquiry focuses on whether individual COR values can be assigned to each ball and how to calculate the COR during a collision between the two balls. The concept is further illustrated by the relationship between the stiffness of a "happy" ball and its COR, which transitions from zero to unity as stiffness decreases.

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  • Understanding of the coefficient of restitution (COR)
  • Basic principles of elastic and inelastic collisions
  • Familiarity with physics concepts related to elasticity
  • Knowledge of ball dynamics and collision mechanics
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  • Research the mathematical formula for calculating the coefficient of restitution in collisions
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JizzaDaMan
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I've been told that the coefficient of restitution is a little like friction; it's a measure of how elastic a collision is between two objects, it's not an individual property of each object itself.

Now let's say you have two balls bouncing on the ground. Ball 1 has a coefficient of restitution with the ground of 0.8, and ball 2 has a coefficient of 0.7 between itself and the ground.

This way you have the ground as a common reference. Is it then acceptable to assign a coefficient of restitution to each ball as an individual property?

Given this, is there then a way to calculate the coefficient of restitution in a collision between the two balls?
 
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http://physics.umd.edu/lecdem/services/refs_scanned_WIP/3%20-%20Vinit's%20LECDEM/C716/1/GetPDFServlet.pdf

Abstract

A perfectly happy ball is one that bounces to its original height when dropped on a massive, rigid
surface. A completely unhappy ball does not bounce at all. In the former case, the coefficient of
restitution COR is unity. In the latter case, the COR is zero. It is shown that when an unhappy ball
collides with a happy ball, the COR increases from zero to unity as the stiffness of the happy ball
decreases from infinity to zero...
 
Last edited by a moderator:
I don't quite understand this phrase: "the COR increases from zero to unity as the stiffness of the happy ball
decreases from infinity to zero." or indeed it's implications.
 

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