Initial mechanical energy equals final mechanical energy
========================================================

The total mechanical energy of an isolated system is conserved, i.e. the energy can
neither be created nor be destroyed. It can only be internally converted from one form
to another if the forces doing work on the system are conservative in nature.

**Notes:**

#. Also see :ref:`Mechanical energy is constant`.

**Links:**

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

..
    TODO: rename file

.. py:currentmodule:: symplyphysics.laws.conservation.mechanical_energy_after_equals_to_mechanical_energy_before

.. py:data:: initial_time

    Initial :attr:`~symplyphysics.symbols.basic.time`.

Symbol:
    :code:`t_0`

Latex:
    :math:`t_{0}`

Dimension:
    :code:`time`


.. py:data:: final_time

    Final :attr:`~symplyphysics.symbols.basic.time`.

Symbol:
    :code:`t_1`

Latex:
    :math:`t_{1}`

Dimension:
    :code:`time`


.. py:data:: mechanical_energy

    :attr:`~symplyphysics.symbols.classical_mechanics.mechanical_energy` of the system as a function of :attr:`~symplyphysics.symbols.basic.time`.

Symbol:
    :code:`E(t)`

Latex:
    :math:`E{\left(t \right)}`

Dimension:
    :code:`energy`


.. py:data:: law

    :code:`E(t_1) = E(t_0)`


    Latex:
        .. math::
            E{\left(t_{1} \right)} = E{\left(t_{0} \right)}