Potential Energy
Definition
The stored energy an object has due to its position or configuration. Gravitational PE = mgh (mass × gravity × height).
Why is Potential Energy Important?
Potential Energy is a core physics concept that describes the fundamental behavior of matter and energy. Understanding this principle enables engineers, students, and scientists to design better systems, solve real-world problems, and predict physical phenomena with precision.
Our physics calculators make it easy to compute values related to this concept, bridging the gap between theoretical understanding and practical application in engineering, education, and research.
What is Potential Energy?
Potential energy (PE) is the stored energy an object has due to its position, configuration, or state. It represents the potential to do work — energy that can be converted to kinetic energy or other forms.
Types of Potential Energy
| Type | Formula | Example |
|---|---|---|
| Gravitational PE | PE = mgh | A book on a shelf, water behind a dam |
| Elastic PE | PE = ½kx² | Compressed spring, drawn bowstring |
| Chemical PE | Stored in molecular bonds | Gasoline, food, batteries |
| Electrical PE | PE = qV | Charged capacitor, lightning cloud |
| Nuclear PE | E = mc² | Nuclear reactor fuel, stellar fusion |
Gravitational PE Examples
| Object | Mass | Height | PE (joules) |
|---|---|---|---|
| Apple on a table | 0.1 kg | 1 m | 0.98 J |
| Person on diving board | 75 kg | 10 m | 7,358 J |
| Roller coaster at peak | 5,000 kg | 50 m | 2,452,500 J |
| Water in Hoover Dam | ~3.5×10¹⁰ kg | 221 m | ~7.6×10¹³ J |
Energy Conservation
In the absence of friction: KE + PE = constant. A roller coaster's total energy at the top (mostly PE) equals its total energy at the bottom (mostly KE). This is why the first hill must be the tallest — it sets the maximum energy for the entire ride.