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Modern Physics
Modern Physics

Relativistic Total Energy

E=γmc2=mc21−v2c2E = \gamma mc^2 = \frac{mc^2}{\sqrt{1 - \frac{v^2}{c^2}}}

The total energy of a moving particle, including rest energy and kinetic energy.

Variables

E
Total energy
J
\gamma
Lorentz factor
unitless
m
Rest mass
kg
v
Speed of the particle
m/s
c
Speed of light
m/s

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Common questions

What is the Relativistic Total Energy formula?

Relativistic Total Energy is written E = γmc² = frac{mc²}{√(1 - v²/c²)}. The total energy of a moving particle, including rest energy and kinetic energy. It belongs to Modern Physics, under Special Relativity.

What are the units in E = γmc² = frac{mc²}{√(1 - v²/c²)}?

In SI units, E is total energy, measured in J; \gamma is lorentz factor (dimensionless); m is rest mass, measured in kg; v is speed of the particle, measured in m/s; c is speed of light, measured in m/s.