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# Potential Energy

## Hydropower - elevation and potential energy

When a body of mass is elevated against the gravitational force - the increase in it's potential energy can be calculated as

Ep = Fg Δh

=  m ag Δh                                (1)

where

Fg = gravitational force (weight) acting on the body (N, lbf)

Ep = potential energy (J, ft lb)

m = mass of body (kg, slugs)

ag = acceleration of gravity on earth (9.81 m/s2, 32.17405 ft/s2)

Δh = change in elevation (m, ft)

### Example - Potential Energy of Elevated Body - in SI units

A body of 1000 kg is elevated 10 m. The change in potential energy can be calculated as

Ep = (1000 kg) (9.81 m/s2) (10 m)

= 98100 J

= 98 kJ

= 0.027 kWh

### Example - Potential Energy of Elevated Body - in Imperial units

A body with weight (force) 500 lbf is elevated 30 ft. The change in potential energy can be calculated as

Ep = (500 lbf) (30 m)

= 15000 ft lb

A body with mass 15 slugs is elevated 30 ft. The change in potential energy can be calculated as

Ep = (15 slugs) (32.17405 ft/s2) (30 m)

= 14478 ft lb

### Potential Energy in a Tank or a Reservoir - Spreadsheet Calculator

You can estimate potential elevation energy (hydropower) in a tank or a reservoir by dividing the volume in horizontal slices and calculate the elevation energy for each slice - as it is done in the spreadsheet calculator below:

## Related Topics

• Dynamics - Motion - velocity and acceleration, forces and torques
• Mechanics - Forces, acceleration, displacement, vectors, motion, momentum, energy of objects and more

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5 15