🎓 Physics • Energy
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Potential Energy Calculator (PE = mgh)
Computes gravitational potential energy PE = m·g·h with custom gravity inputs.
Gravitational Potential Energy Calculator
Stored energy due to position in a gravitational field: PE = m × g × h
PE = mgh
Real-World Physical Presets:
Elevation DiagramFreefall impact speed: 50.4 km/h
Gravitational Potential Energy
6,864.65 Joules (J)
Kilojoules6.865 kJ
Kilocalories1.64 kcal
Foot-pounds5063.1 ft·lbf
Drop Speed14.00 m/s
Step-by-Step Derivation
1. Formula: Gravitational Potential Energy PE = m · g · h
2. Substitution: PE = (70 kg) × (9.80665 m/s²) × (10 m)
3. Total Potential Energy: PE = 6864.65 Joules (J)
4. Impact Velocity if Dropped (PE → KE): v = √(2·g·h) = √(2 × 9.80665 × 10) = 14.00 m/s (50.4 km/h)
What is Gravitational Potential Energy?
Potential energy is stored energy possessed by an object due to its elevated position in a gravitational field.
Formula & Step-by-Step Calculation
PE = m × g × h
Mass times gravitational acceleration times height.
Worked Step-by-Step Examples
Example 1
50 kg mass raised 10 meters on Earth
Solution: 4,903 Joules (4.9 kJ)
• 50 × 9.80665 × 10 = 4,903.3 J
Common Real-World & Academic Use Cases
- ✓ Hydroelectric dam reservoir storage
- ✓ Roller coaster drop design
- ✓ Demolition wrecking balls
How to Use the Potential Energy Calculator (PE = mgh)
1
Enter Mass & Height
Input kg and meters.
2
View Potential Energy
Inspect Joules.
Frequently Asked Questions
Q: Where is potential energy zero?
The reference zero height is arbitrary, but usually chosen as ground level.