Expert Answer to "How to calculate the coefficient of restitution?"

College
Physics
Advanced Physics

Gordon Young

Answered question

2023-02-21

How to calculate the coefficient of restitution?

Answer & Explanation

Brisa Fitzgerald

Beginner2023-02-22Added 5 answers

The coefficient of restitution often denoted

e

can be found with some notion of Newton's Experimental Law.
This law states that: ""in a system of colliding bodies(usually 2 bodies) the relative velocity of separation is directly proportional to the relative velocity of approach"".
Mathematically expressed,

V_{A} - V_{B} α U_{A} - U_{B}

or V_{B} - V_{A} α U_{B} - U_{A}

For a system of colliding bodies

A

and

B

The constant of proportionality is

- e

Thus we have,

V_{A} - V_{B} = - e (U_{A} - U_{B})

\Rightarrow e = - \frac{V_{A} - V_{B}}{U_{A} - U_{B}}

The initial and final velocities of the two bodies colliding are all that are required to calculate e.

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