Energy

• law of conservation of energy
  • ”the total energy of an isolated system remains constant” (Wikipedia)

Kinetic energy

• $E_k=\frac{1}{2}m{v}^2$ is the (translational) kinetic energy
  • $m$ is the mass ($\mathrm{kg}$)
  • $v$ is the velocity ($m/s$)
• $E_k=\frac{1}{2}I{\omega }^2$ is the rotational/angular kinetic energy
  • $I$ is the moment of inertia ($\mathrm{kg}\cdot {\mathrm{m}}^2$)
  • $\omega$ is the angular velocity ($rad/s$)
• radiant energy
  • ”the energy of electromagnetic and gravitational radiation” (Wikipedia)

Potential energy

• $E_p=\frac{1}{2}k{x}^2$ is the elastic (potential) energy
  • $E_p$ is the change in elastic potential energy ($\mathrm{J}$)
  • $k$ is the spring constant ($N/m$)
  • $x$ is the change in length ($\mathrm{m}$)
  • $\Delta \text{EPE}=\frac{1}{2}k\cdot \Delta x^2$
• electric potential energy
• gravitational (potential) energy
• chemical energy

Mechanical energy

• (mechanical energy) $E_{\text{total}}=E_k+E_p$

Others

• internal energy
• thermal energy

Binding energy

• binding energy
  • gravitational binding energy
  • bond energy and bond-dissociation energy
  • ionization energy
  • nuclear binding energy

Units

See Energy