Relativistic kinetic energy
===========================

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

**Notation:**

#. :math:`c` (:code:`c`) is :attr:`~symplyphysics.quantities.speed_of_light`.

**Notes**

#. 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:**

#. `Wikipedia, last formula in paragraph <https://en.wikipedia.org/wiki/Kinetic_energy#Derivation_2>`__.

.. py:currentmodule:: symplyphysics.laws.relativistic.relativistic_kinetic_energy

.. py:data:: kinetic_energy

    :attr:`~symplyphysics.symbols.classical_mechanics.kinetic_energy` of the body.

Symbol:
    :code:`K`

Latex:
    :math:`K`

Dimension:
    :code:`energy`


.. py:data:: lorentz_factor

    :attr:`~symplyphysics.symbols.relativistic_mechanics.lorentz_factor` of the body.

Symbol:
    :code:`gamma`

Latex:
    :math:`\gamma`

Dimension:
    :code:`dimensionless`


.. py:data:: rest_mass

    :attr:`~symplyphysics.symbols.relativistic_mechanics.rest_mass` of the body.

Symbol:
    :code:`m_0`

Latex:
    :math:`m_{0}`

Dimension:
    :code:`mass`


.. py:data:: law

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


    Latex:
        .. math::
            K = \left(\gamma - 1\right) m_{0} c^{2}