Braking path via speed and friction force
=========================================

Let an arbitrary object move along the surface at an arbitrary speed. The friction force acts on the
object from the surface. Then the *braking path* will depend on the mass of the object, its speed
and friction force.

**Links:**

#. `Wikipedia <https://en.wikipedia.org/wiki/Braking_distance>`__.

.. py:currentmodule:: symplyphysics.laws.dynamics.braking_path_via_speed_and_friction_force

.. py:data:: braking_path

    The braking path of the object. See :attr:`~symplyphysics.symbols.classical_mechanics.distance`.

Symbol:
    :code:`s`

Latex:
    :math:`s`

Dimension:
    :code:`length`


.. py:data:: speed

    The :attr:`~symplyphysics.symbols.classical_mechanics.speed` of the object.

Symbol:
    :code:`v`

Latex:
    :math:`v`

Dimension:
    :code:`velocity`


.. py:data:: friction_force

    The friction :attr:`~symplyphysics.symbols.classical_mechanics.force` exerted on the object.

Symbol:
    :code:`F_fr`

Latex:
    :math:`F_\text{fr}`

Dimension:
    :code:`force`


.. py:data:: mass

    The :attr:`~symplyphysics.symbols.basic.mass` of the object.

Symbol:
    :code:`m`

Latex:
    :math:`m`

Dimension:
    :code:`mass`


.. py:data:: law

    :code:`s = m * v^2 / (2 * F_fr)`


    Latex:
        .. math::
            s = \frac{m v^{2}}{2 F_\text{fr}}