Description
Add signed netWorkJoules to nonnegative initialKineticEnergyJoules, requiring the sum nonnegative, and return finalKineticEnergyJoules.
Mechanics formulas relate forces, motion, energy, and geometry within a specified model. Signed coordinates and consistent units determine each component; a formula evaluation does not verify measured loads or the suitability of the physical model.
Add signed netWorkJoules to nonnegative initialKineticEnergyJoules, requiring the sum nonnegative, and return finalKineticEnergyJoules.
When to use this tool
Use Work Energy Signed Ledger Step when you need one elementary mechanics component under an explicit coordinate and unit convention.
How to use the tool and how it works
- Enter initialKineticEnergyJoules, netWorkJoules. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read finalKineticEnergyJoules. Use the output convention below.
Add signed netWorkJoules to nonnegative initialKineticEnergyJoules, requiring the sum nonnegative, and return finalKineticEnergyJoules.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| initialKineticEnergyJoules | Initial Kinetic Energy Joules | Required. Finite number; minimum 0. |
| netWorkJoules | Net Work Joules | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| finalKineticEnergyJoules | Final Kinetic Energy Joules | Required. Finite number. |
{
"input": {
"initialKineticEnergyJoules": 100,
"netWorkJoules": -25
},
"output": {
"finalKineticEnergyJoules": 75
}
}Limitations and assumptions
- This applies a supplied work-energy ledger; forces, reference frame, losses, and a physical system's consistency are not independently modeled.
- 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. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Check the complete physical model and consult a qualified professional when the result informs equipment or structural safety.
References
Similar or alternative tools
- Small Displacement Work Projection
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