Coefficient of Restitution

Coefficient of Restitution

### Formula

$$e=\frac{\text{Relative velocity of separation}}{\text{Relative velocity of approach}}$$

### One Dimensional Form

$$e=\frac{v_2-v_1}{u_1-u_2}$$

### Terminologies

- e → Coefficient of restitution.

- u₁, u₂ → Initial velocities.

- v₁, v₂ → Final velocities.

### Conditions / Special Cases

### Perfectly Elastic Collision

$$e=1$$

### Inelastic Collision

$$0<e<1$$

### Perfectly Inelastic Collision

$$e=0$$

### Usage

- Used to determine type of collision.