Relativistic Mass-Energy Equation

The E = m•γ•c² calculator computes the energy from an amount of mass based on the mass (m) and a relativity factor.

INSTRUCTIONS: Choose units and enter the following:

• m - mass of the object
• γ - relativity factor

Energy from Mass (E):  The calculator returns the energy in Joules.  However, this can be automatically converted to compatible units via the pull-down menu.

The Math / Science

The E = m•c² equation computes Einstiens Special Relativity formula for the Energy (Joules) that exists in a mass (m in kilograms) at rest as a function of the speed of light (c in meters per second).  This equation takes into account the energy of an mass with a relativity factor based on the objects velocity.

        E = m•γ•c²

where:

• m - mass of the object
• γ - relativity factor
• c - speed of light

Mass-Energy-Light Calculators

• E = m•c² (mass/energy equivalent)
• m = E/c² (mass from energy)
• E = m•γ•c² (mass/energy equivalent not at rest)
• E = h•ν (Quantum Energy)
• p = m•γ•v (Relativistic Momentum)
• c (Speed of light) = 2.99792458E8 m/s
• c² (Speed of Light Squared) = 931.46 MeV/u
• Lorentz factor (`gamma`)
• KE ≈ m(1+v²/(2c²)-1)c² (Relativistic Kinetic Energy)

REFERENCE

A helpful and more detailed explanation can be found at http://www.emc2-explained.info/Emc2/Basics.htm