Potential Energy
Learning Objectives
- Students will understand potential energy as stored energy
- Students will calculate gravitational and elastic potential energy
- Students will recognize the connection between potential and kinetic energy
Core Concepts
- Potential energy: energy due to position or configuration
- Gravitational PE: PE = mgh
- Elastic PE: PE = ½kx² (in springs)
Formulas
$$PE_g = mgh$$
Potential energy at height h above reference
$$PE_e = \frac{1}{2}kx^2$$
Potential energy in a spring with spring constant k and displacement x
Units
| joule | J |
Interesting Fact
The choice of reference point for potential energy is arbitrary
Key Scientist
Joseph-Louis Lagrange
Developed concepts of potential energy
Ancient Wisdom
The concept of hidden potential (manifesting through elevation) resonates with spiritual traditions viewing potential as waiting to be actualized.
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