Description
Apply the normal coefficient-of-restitution relation to a nonnegative approach speed under an explicitly passive 0..1 restitution model; not a collision impulse solver.
A mechanics calculation needs a coordinate frame, sign convention, and consistent force, length, mass, and time units. Vector projections, local balance terms, and ideal motion equations describe particular parts of a physical model. They do not automatically establish all equilibrium conditions or the validity of the model.
Apply the normal coefficient-of-restitution relation to a nonnegative approach speed under an explicitly passive 0..1 restitution model; not a collision impulse solver.
When to use this tool
Use Physics: Collision Restitution Relative Speed when you need this particular projection, balance, frame conversion, or ideal-model component from supplied physical quantities.
How to use the tool and how it works
- Enter approachSpeed, restitution. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read result. Expand result to inspect the returned fields.
For nonnegative approachSpeed and restitution within zero through one return separationSpeed=approachSpeed*restitution inside result.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| approachSpeed | Approach Speed | Required. Finite number. |
| restitution | Restitution | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| result | Object containing the calculated result members described below. | Required. Object. |
| result.separationSpeed | Separation Speed | Calculated result member: number. |
{
"input": {
"approachSpeed": 5,
"restitution": 0.8
},
"output": {
"result": {
"separationSpeed": 4
}
}
}Limitations and assumptions
- Inputs are relative normal speed magnitudes in one unit. This does not calculate individual post-collision velocities, tangential response, contact forces, or energy loss for a full collision.
- Outputs are nested inside result. Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Signed zero is exported as zero.
Alternative or Complementary methods
Use a complete force, motion, or energy model when a single contribution is insufficient. Check coordinate frames, idealizations, and dimensional consistency before combining calculated terms.
References
Similar or alternative tools
- Elastic Collision Center Frame Speed Point
Resolve a one-dimensional two-body state into its common center-of-mass velocity and signed relative velocities.
- Constant Acceleration Midpoint Speed
Return signed midpoint/average velocity and displacement under one constant-acceleration interval.