Gravitational Potential Energy
Gravitational Potential Energy
\[E_p = mgh\]
Variables
Ep = gravitational potential energy (J)
m = mass (kg)
g = gravitational acceleration (m/s²)
h = height relative to reference level (m)
Description
What is this formula?
The gravitational potential energy equation calculates the energy stored by an object due to its position in a gravitational field.
When to use it
Use this formula when analyzing elevated objects, lifting systems, hydroelectric systems, falling bodies, or energy conservation problems.
Example
A 50 kg object is lifted to a height of 8 m on Earth.
Data:
m = 50 kg
g = 9.81 m/s²
h = 8 m
Formula:
Ep = m*g*h
Substitution:
Ep = 50*9.81*8
Result:
Ep = 3924 J
Applications
Mechanical engineering, civil engineering, hydroelectric power systems, lifting equipment, energy analysis, and physics education.
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