physics.relativistic_kinetic_energy
===================================

.. py:module:: physics.relativistic_kinetic_energy

.. autoapi-nested-parse::

   Find the relativistic kinetic energy of a particle, given its rest mass and velocity.

   Description: In special relativity, the kinetic energy of a particle is the extra
   energy it has due to its motion beyond the energy associated with its rest mass.
   It is defined as the difference between the total relativistic energy and the rest
   energy of the particle. After a force does work to accelerate a particle from rest
   to some high speed comparable to the speed of light, the particle carries this
   relativistic kinetic energy as long as its speed stays the same. The same amount of
   energy must be removed (for example, by an opposite force) to slow the particle
   back down to rest. Formally, relativistic kinetic energy appears in the relativistic
   energy momentum relation and depends on the Lorentz factor, which encodes how time
   and space change at high speeds.

   In relativistic mechanics, the kinetic energy K of a particle with rest mass m
   moving at speed v is

       K = (y - 1) m c^2,

   where c is the speed of light in vacuum and

       y = 1 / sqrt(1 - v^2 / c^2)

   is the Lorentz factor. At speeds much lower than c, this expression reduces to the
   classical formula K ≈ (1/2) m v^2, so the relativistic result agrees with Newtonian
   kinetic energy in the low-velocity limit. The standard unit of kinetic energy is the
   joule, while the English unit of kinetic energy is the foot-pound.

   Reference: https://en.wikipedia.org/wiki/Kinetic_energy



Functions
---------

.. autoapisummary::

   physics.relativistic_kinetic_energy.relativistic_kinetic_energy


Module Contents
---------------

.. py:function:: relativistic_kinetic_energy(mass: float, velocity: float) -> float

   Calculate relativistic kinetic energy.
   mass --- kg
   velocity ---- m/s
   K.E ---- j

   >>> relativistic_kinetic_energy(10,10)
   598.6912157608277
   >>> relativistic_kinetic_energy(40,200000)
   800000266962.5057
   >>> relativistic_kinetic_energy(50,100000)
   250000021062.11475
   >>> relativistic_kinetic_energy(0,0)
   0.0
   >>> relativistic_kinetic_energy(100,0)
   0.0