Calculating coefficient of resitution

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In summary, the coefficient of restitution is a measure of how elastic a collision is between two objects, and it is not an individual property of each object. It is possible to assign a coefficient of restitution to each object in a collision, and there is a way to calculate the coefficient of restitution between two objects based on their individual properties.
  • #1
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...
 
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  • #3
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.
 

Related to Calculating coefficient of resitution

What is the coefficient of restitution?

The coefficient of restitution is a measure of the elasticity of a collision between two objects. It is represented by the symbol "e" and is calculated by dividing the relative velocity of separation by the relative velocity of approach.

How is the coefficient of restitution used in physics?

The coefficient of restitution is used to determine the amount of energy lost during a collision between two objects. It is also used to calculate the velocities of objects after a collision and to predict their trajectories.

What factors affect the coefficient of restitution?

The coefficient of restitution is affected by factors such as the materials of the objects involved, the surface roughness, and the angle of impact. The elasticity of the objects also plays a significant role in determining the coefficient of restitution.

How do you calculate the coefficient of restitution?

The coefficient of restitution can be calculated by using the equation e = (v2 - v1) / (u1 - u2), where v1 and v2 are the velocities of the objects after the collision and u1 and u2 are the velocities before the collision. This equation assumes a one-dimensional collision.

Why is the coefficient of restitution important in sports?

The coefficient of restitution is crucial in sports such as basketball, tennis, and golf, where the rebound of a ball or other object is vital. It helps determine the performance and behavior of equipment, and it can also affect the outcome of a game or competition.

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