Mechanical energy is constant
=============================

Mechanical energy is constant in a system that has only gravitational forces or in an
otherwise idealized system — that is, one lacking dissipative forces, such as friction
and air resistance, or one in which such forces can be reasonably neglected.

**Notes:**

#. SymPy does not have a proper way to represent constant energy. We use it's derivative
   over time instead. Derivative of the constant value is zero.

**Links:**

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

.. py:currentmodule:: symplyphysics.laws.conservation.mechanical_energy_is_constant

.. py:data:: time

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

Symbol:
    :code:`t`

Latex:
    :math:`t`

Dimension:
    :code:`time`


.. py:data:: mechanical_energy

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

Symbol:
    :code:`E(t)`

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

Dimension:
    :code:`energy`


.. py:data:: law

    :code:`Derivative(E(t), t) = 0`


    Latex:
        .. math::
            \frac{d}{d t} E{\left(t \right)} = 0