Potential Energy to Kinetic Energy Calculator

Estimate speed from falling mass and elevation changes. Compare ideal, real, and loss-adjusted outcomes easily. Build confidence using formulas, graphs, exports, examples, and clear steps.

Calculator Inputs

Example Data Table

Mass (kg) Height (m) Efficiency (%) Loss (J) Potential Energy (J) Available KE (J) Speed (m/s)
10 5 100 0 490.33 490.33 9.90
8 12 92 15 941.44 851.12 14.59
2.5 20 85 10 490.33 406.78 18.05

Formula Used

Potential Energy: PE = m × g × h
Kinetic Energy: KE = ½ × m × v²
Velocity From Kinetic Energy: v = √(2 × KE ÷ m)
Adjusted Available Kinetic Energy: KEavailable = (PE × efficiency) + initial KE − direct losses

Here, m is mass in kilograms, g is gravitational acceleration at 9.80665 m/s², h is height in meters, and v is velocity in meters per second. This calculator also allows initial velocity, efficiency, and direct energy loss for more realistic outcomes.

How to Use This Calculator

  1. Enter the object mass in kilograms.
  2. Provide the starting height in meters.
  3. Add an initial velocity if the object already moves.
  4. Enter efficiency to model real conversion conditions.
  5. Enter direct energy loss in joules if known.
  6. Optionally set a target height to inspect remaining speed.
  7. Click Calculate Now to view results above the form.
  8. Use the export buttons to save your results as CSV or PDF.

FAQs

1. What does this calculator measure?

It estimates how gravitational potential energy can become kinetic energy. It also shows speed, adjusted energy, momentum, and losses for more practical physics analysis.

2. Why include efficiency?

Efficiency helps model friction, deformation, heat, sound, and other real-world effects. A lower efficiency means less stored energy becomes useful motion energy.

3. Can I use an initial velocity?

Yes. Initial velocity adds starting kinetic energy. That value combines with converted potential energy, giving a more complete estimate for total motion energy.

4. What unit system does this page assume?

The calculations use SI values: kilograms, meters, seconds, joules, and newtons. These are standard for most school, engineering, and physics applications.

5. Does this work for ramps or roller systems?

Yes, if the vertical height change is known. The core energy relation depends on height difference, although efficiency and losses should be adjusted carefully.

6. Why is real velocity lower than ideal velocity?

Ideal velocity ignores losses. Real velocity includes efficiency limits and direct energy loss, so the available kinetic energy becomes smaller before speed is calculated.

7. What does recoverable height mean?

Recoverable height is the equivalent elevation that the available kinetic energy could recreate. It helps compare motion energy back into stored gravitational energy.

8. Can I export the results?

Yes. After calculation, use the CSV button for spreadsheet-friendly data or the PDF button for a clean printable summary of your output.