What is the coefficient of restitution?

The coefficient of restitution is a measure of how elastic a collision is between two objects. It quantifies the ratio of the relative speed after the collision to the relative speed before the collision.

Understanding the Concept

This value ranges from 0 to 1:

• 0: Indicates a perfectly inelastic collision, where the objects stick together and move as one after impact.
• 1: Represents a perfectly elastic collision, where no kinetic energy is lost, and the objects bounce off each other without any deformation.

Mathematical Representation

The coefficient of restitution (e) can be expressed with the formula:

e = (v2 - v1) / (u1 - u2)

Where:

• v1 and v2 are the final velocities of the two objects after the collision.
• u1 and u2 are their initial velocities before the collision.

Applications

This concept is crucial in physics and engineering, particularly in fields like sports, vehicle collisions, and material science, as it helps predict how objects will behave after they collide.