Potential Energy Calculator

Potential Energy is evaluated from Mass, Height and Potential Energy. The calculation reports Potential Energy, Potential Energy and Mass.

Results

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About the Potential Energy Calculator

Potential Energy is treated here as a quantitative relation between Mass, Height and Potential Energy and Potential Energy, Potential Energy, Mass and Height.

The calculator uses a multi formula configuration. Each reported value is read as a direct evaluation of the stored rules with the declared field formats and units.

Formula basis:
PE = m x g x h
m = mass (kg)
g = 9.80665 m/s^2 (Earth's surface gravity)
h = height above reference point (m)
Solving for mass: m = PE / (g x h)
Solving for height: h = PE / (m x g)

Interpret the outputs in the order shown by the result fields. Optional inputs affect only the outputs that depend on those variables.

Formula & How It Works

The calculation applies the following relations exactly as recorded in the metadata:

PE = m x g x h
m = mass (kg)
g = 9.80665 m/s^2 (Earth's surface gravity)
h = height above reference point (m)
Solving for mass: m = PE / (g x h)
Solving for height: h = PE / (m x g)

Each output field is produced by substituting the supplied inputs into the relevant relation and then applying the declared rounding or text format.

Worked Examples

Example 1: Hoover Dam Water Reservoir

Inputs

mass: 1000000 height: 221
Potential Energy: 2,167,269,650 J. Potential Energy: 2,167,269.65 kJ

With Mass = 1,000,000 and Height = 221 as the stated inputs, the result is Potential Energy = 2,167,269,650 J and Potential Energy = 2,167,269.65 kJ. Each value corresponds to the declared output fields.

Example 2: Football Player Jumping

Inputs

mass: 113.4 height: 0.9
Potential Energy: 1,000.87 J. Potential Energy: 1.0009 kJ

With Mass = 113.4 and Height = 0.9 as the stated inputs, the result is Potential Energy = 1,000.87 J and Potential Energy = 1.0009 kJ. Each value corresponds to the declared output fields.

Example 3: Water Tower Supply

Inputs

mass: 50000 height: 30.5
Potential Energy: 14,955,141.25 J. Potential Energy: 14,955.1413 kJ

With Mass = 50,000 and Height = 30.5 as the stated inputs, the result is Potential Energy = 14,955,141.25 J and Potential Energy = 14,955.1413 kJ. Each value corresponds to the declared output fields.

Example 4: Empire State Building Elevator Load

Inputs

mass: 2000 height: 443
Potential Energy: 8,688,691.9 J. Potential Energy: 8,688.6919 kJ

With Mass = 2,000 and Height = 443 as the stated inputs, the result is Potential Energy = 8,688,691.9 J and Potential Energy = 8,688.6919 kJ. Each value corresponds to the declared output fields.

Common Use Cases

  • Calculate energy of water at top of a dam
  • Find potential energy of an elevated object before it falls
  • Determine height from measured energy and mass