Calculating the Coefficient of Restitution: A Quick Guide

In summary, the equation for the coefficient of restitution is c = (v1-v2)/(u1-u2) and for perfectly elastic collisions, it is equal to 1. This can be compared to waiting for a bus, where after a long wait, two buses come at once.
  • #1
BMcN
11
0
Whats the equation for the coefficient of restitution again? Went blank!
 
Physics news on Phys.org
  • #2
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]
 
  • #3
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.
 
  • #4
It's like waiting for a bus, you have to wait for ages and then two come along at once.
 
  • #5
v1-v2/u1-u2, that's the one, that's guys!
 

What is the Coefficient of Restitution?

The Coefficient of Restitution, also known as COR or e, is a dimensionless number that represents the ratio of the final velocity of an object after a collision to its initial velocity. It is a measure of the elasticity of a collision, with a higher COR indicating a more elastic collision and a lower COR indicating a more inelastic collision.

How is the Coefficient of Restitution calculated?

The COR is calculated by dividing the final velocity of an object after a collision by its initial velocity. This value can range from 0 to 1, with 1 representing a perfectly elastic collision and 0 representing a completely inelastic collision.

What factors can affect the Coefficient of Restitution?

The COR can be affected by a variety of factors, including the materials of the colliding objects, the surface properties of the objects, and the angle at which the objects collide. Other factors such as temperature and air resistance can also play a role in the COR of a collision.

Why is the Coefficient of Restitution important?

The COR is an important concept in physics and engineering, as it helps us understand the behavior of objects during collisions. It is also used in sports, such as in determining the bounce of a ball, and in the design of safety equipment, such as helmets and car bumpers.

How is the Coefficient of Restitution different from the Coefficient of Friction?

The Coefficient of Restitution and the Coefficient of Friction are both measures of the interaction between objects, but they are different in their definitions and applications. The COR relates to the elasticity of a collision, while the Coefficient of Friction relates to the resistance to motion between two surfaces in contact. They also have different units of measurement, with the COR being dimensionless and the Coefficient of Friction having units of force.

Similar threads

  • Other Physics Topics
Replies
3
Views
2K
  • Introductory Physics Homework Help
Replies
4
Views
915
  • Other Physics Topics
Replies
5
Views
106K
  • Mechanics
Replies
9
Views
1K
Replies
2
Views
1K
Replies
2
Views
829
  • Other Physics Topics
Replies
1
Views
5K
  • Classical Physics
Replies
4
Views
3K
Replies
1
Views
2K
Back
Top