Conservation of Energy

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The law of conservation of energy is the fundamental principle of physics that describes how the total energy of an isolated system is always constant.

The Main Idea

For any given isolated system, the total energy will remain constant regardless of any processes or interactions that occur in the domain. Therefore, energy cannot be created or destroyed.

A Mathematical Model

The most general mathematical formula to model the conservation of energy is E_initial = E_final where E is the total energy of the system.
More specifically, the total energy of the system can be described as the sum of the kinetic and potential energies. E = K + U where K is the total kinetic energy and U is the total potential energy.
From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.

A Computational Model

The following demonstration provides a computer model that shows the changes in

Skater

Examples

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