The formula to calculate Loss of Kinetic Energy during an Elastic Collision (EL elastic) is:
\[ EL_{\text{elastic}} = EL_{\text{inelastic}} \cdot (1 - e^2) \]
Where:
Loss of kinetic energy during an elastic collision is energy lost in an imperfect elastic collision.
Loss of K.E during perfectly inelastic collision, in this type of collision, the objects involved in the collisions do not stick, but some kinetic energy is still lost.
The coefficient of restitution, also denoted by (e), is the ratio of the final to initial relative velocity between two objects after they collide.
Let's assume the following values:
Using the formula:
\[ EL_{\text{elastic}} = EL_{\text{inelastic}} \cdot (1 - e^2) \]
Evaluating:
\[ EL_{\text{elastic}} = 16 \cdot (1 - 0.5^2) \]
The Loss of Kinetic Energy during an Elastic Collision is 12 Joules.
| Loss of K.E During Perfectly Inelastic Collision (EL inelastic, Joules) | Coefficient of Restitution (e) | Loss of Kinetic Energy During an Elastic Collision (EL elastic, Joules) |
|---|---|---|
| 10 | 0.3 | 9.1000 |
| 10 | 0.4 | 8.4000 |
| 10 | 0.5 | 7.5000 |
| 10 | 0.6 | 6.4000 |
| 10 | 0.7 | 5.1000 |
| 12 | 0.3 | 10.9200 |
| 12 | 0.4 | 10.0800 |
| 12 | 0.5 | 9.0000 |
| 12 | 0.6 | 7.6800 |
| 12 | 0.7 | 6.1200 |
| 14 | 0.3 | 12.7400 |
| 14 | 0.4 | 11.7600 |
| 14 | 0.5 | 10.5000 |
| 14 | 0.6 | 8.9600 |
| 14 | 0.7 | 7.1400 |
| 16 | 0.3 | 14.5600 |
| 16 | 0.4 | 13.4400 |
| 16 | 0.5 | 12.0000 |
| 16 | 0.6 | 10.2400 |
| 16 | 0.7 | 8.1600 |
| 18 | 0.3 | 16.3800 |
| 18 | 0.4 | 15.1200 |
| 18 | 0.5 | 13.5000 |
| 18 | 0.6 | 11.5200 |
| 18 | 0.7 | 9.1800 |
| 20 | 0.3 | 18.2000 |
| 20 | 0.4 | 16.8000 |
| 20 | 0.5 | 15.0000 |
| 20 | 0.6 | 12.8000 |
| 20 | 0.7 | 10.2000 |