When to use this calculator
Compare relative separation and approach speeds in a one-dimensional collision. Use a consistent collision axis; this ratio alone does not validate a collision model.
Explore the force, energy & machines calculators for other questions in this topic. For a related calculation, use the Collision Common Velocity Calculator: Find shared velocity after two masses stick together in an ideal collision.
PUTTING IT INTO PRACTICE
Coefficient of Restitution: a worked example
The values below are an illustrative example, not a recommendation. Replace them with measurements or assumptions that match your question.
| Input | Example value |
|---|---|
| First initial velocity (m/s) | 10 |
| Second initial velocity (m/s) | 0 |
| First final velocity (m/s) | 0 |
| Second final velocity (m/s) | 10 |
| Result | 1 |
- Check the input labels and enter the example values above.
- Apply the relationship: e = relative separation speed/relative approach speed.
- The result is 1 , rounded for display.
How to interpret your result
Use a consistent collision axis; this ratio alone does not validate a collision model.
Distinguish net force from individual forces and specify the direction of displacement. Work can be negative. Force multiplication does not create extra energy because motion distance and losses also matter.
Frequently asked questions
Is mechanical advantage the same as efficiency?
No. Mechanical advantage compares forces; efficiency compares useful output energy or power with the corresponding input.
When is the coefficient of restitution calculator useful?
Compare relative separation and approach speeds in a one-dimensional collision. Use a consistent collision axis; this ratio alone does not validate a collision model.
How do I use the coefficient of restitution calculator?
Enter first initial velocity (m/s), second initial velocity (m/s), first final velocity (m/s), second final velocity (m/s). The result updates automatically. Use the units shown beside each input; the example values illustrate the method.
Which formula does this calculator use?
e = relative separation speed/relative approach speed.
What should I check before using the result?
Use a consistent collision axis; this ratio alone does not validate a collision model.
How are results rounded?
Scalar numbers display up to six decimal places, with scientific notation for very large or small values. Text, fraction, date and schedule outputs use the format described on the tool. Intermediate calculations use JavaScript floating-point arithmetic. Keep sensible precision for your measurements.
Further reading
For background on this topic, see OpenStax: work and energy ↗. This is a topic reference, not an external review or endorsement of this tool.
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