coefficient of restitution calculator. Get instant, accurate results. Enter values for instant results with step-by-step formulas.
Reviewed for accuracy by Manoj Kumar, Mathematics Educator
Reviewed for accuracy by Manoj Kumar, Mathematics Educator
Coefficient of Restitution Calculator
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Formula: e = relative speed after / relative speed before
Your Result
Worked example — e=0.6
Formula
e = relative speed after / relative speed before
Ratio of relative speed after to before collision. e=1 perfectly elastic, e=0 perfectly inelastic.
Worked Examples
Example 1: Ball bounce
Problem:Ball: v1=10, v2=0, v1 after=2, v2 after=8
Solution:e=(8-2)/(10-0)=0.6
Result:e=0.6
Frequently Asked Questions
What affects the coefficient of restitution?
Material (rubber≈0.8, steel≈0.6, clay≈0), temperature, and impact speed. It is not truly constant but approximately so for moderate speeds.
How is the coefficient of restitution calculated?
e = (relative speed after collision) / (relative speed before collision) = |v2' - v1'| / |v1 - v2|. A value of 1 means no kinetic energy loss; a value of 0 means the objects stick together after impact.
When would I use Coefficient of Restitution Calculator?
Sports equipment design (tennis balls, golf balls, basketball standards), automotive crash testing, industrial machinery collision analysis, and physics research all rely on measuring the coefficient of restitution to characterize material behavior.
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