Relativistic kinetic energy via rest mass and Lorentz factor

The kinetic energy of an object is the form of energy that it possesses due to its motion.

Notation:

1. \(c\) (c) is speed_of_light.

Notes

1. The work expended accelerating an object from rest approaches infinity as the velocity approaches the speed of light. Thus it is impossible to accelerate an object across this boundary.

Links:

1. Wikipedia, last formula in paragraph.

kinetic_energy

kinetic_energy of the body.

Symbol:

K

Latex:

\(K\)

Dimension:

energy

lorentz_factor

lorentz_factor of the body.

Symbol:

gamma

Latex:

\(\gamma\)

Dimension:

dimensionless

rest_mass

rest_mass of the body.

Symbol:

m_0

Latex:

\(m_{0}\)

Dimension:

mass

law

K = (gamma - 1) * m_0 * c^2

Latex:

\[K = \left(\gamma - 1\right) m_{0} c^{2}\]