How it works
Use local gravitational energy with the units stated beside the fields. This form solves for height difference; enter the known quantities in Energy, Mass, Local gravitational acceleration.
Inputs and units
| Input | Example value | What to enter |
|---|---|---|
| Energy | 90 J | Formula symbol: E. Required unit: J. Must be greater than zero. |
| Mass | 3 kg | Formula symbol: m. Required unit: kg. Must be greater than zero. |
| Local gravitational acceleration | 7.5 m/s² | Formula symbol: g. Required unit: m/s². Must be greater than zero. |
Worked example
Show example inputs and results
This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.
- Energy
- 90 J
- Mass
- 3 kg
- Local gravitational acceleration
- 7.5 m/s²
Complete example results
- Height difference
- 4 m
Reading the result
The result solves for height difference from the entered quantities. Check the result unit and the formula conditions before using it.
Questions and answers
Can I use the example values for my own calculation?
The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.
When can I use the height difference result?
This model uses positive magnitudes. Positive height is above the chosen reference. Local gravity is constant; changes over large heights are excluded.
Why are some results rounded?
Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.
Are my inputs sent to a server?
The calculator processes inputs in your browser. Its code does not send your values to a server.
Method sources: openstax.org