Relativistic momentum via rest mass and speed
=============================================

Momentum (amount of motion) is a vector physical quantity that is a measure of the mechanical movement
of a body. The relativistic momentum also takes into account speed limits equal to the speed of light.

**Notation:**

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

**Links:**

#. `Wikipedia <https://en.wikipedia.org/wiki/Mass_in_special_relativity#Relativistic_energy%E2%80%93momentum_equation>`__.

.. py:currentmodule:: symplyphysics.laws.relativistic.relativistic_momentum

.. py:data:: momentum

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

Symbol:
    :code:`p`

Latex:
    :math:`p`

Dimension:
    :code:`momentum`


.. 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:: speed

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

Symbol:
    :code:`v`

Latex:
    :math:`v`

Dimension:
    :code:`velocity`


.. py:data:: law

    :code:`p = m_0 * v / sqrt(1 - (v / c)^2)`


    Latex:
        .. math::
            p = \frac{m_{0} v}{\sqrt{1 - \left(\frac{v}{c}\right)^{2}}}