 # Conservation of Energy

Physics
Terms

## Terms and Formulae

Terms Terms and Formulae

• ### Conservative force

Any force which conserves mechanical energy, as opposed to a nonconservative force. See statement of conservation of mechanical energy.

• ### Conservative System

A system in which energy is conserved.

• ### Nonconservative Force

Any force which does not conserve mechanical energy, as opposed to a conservative force.

• ### Path independence

Property of conservative forces which states that the work done on any path between two given points is the same.

• ### Potential energy

The energy of configuration of a conservative system. For formulae, see Definition of potential energy, gravitational potential energy, and Definition of potential energy given a position-dependent force.

• ### Kinetic Energy

The energy of motion.

• ### Total mechanical energy

The sum of the kinetic and potential energy of a conservative system. See definition of total mechanical energy.

• ### Formulae

 Definition of potential energy. ΔU = - W

 Gravitational potential energy. UG = mgh

 Statement of conservation of mechanical energy. Δ(U+K) = 0

 Definition of total mechanical energy. U + K = E

 Definition of potential energy given a position-dependent force. ΔU = - F(x)dx