Net force vector is sum of forces
=================================

The net force exerted on an object is equal to the vector sum of all the forces exerted on it.

**Notation:**

#. :math:`\sum_i x_i` (:code:`Sum(x_i, i)`) denotes a sum of :math:`x_i` over the index :math:`i`.

**Links:**

#. `Wikipedia, general principle <https://en.wikipedia.org/wiki/Superposition_principle>`__.

.. py:currentmodule:: symplyphysics.definitions.vector.net_force_vector_is_sum_of_forces

.. py:data:: net_force

    Vector of the net :attr:`~symplyphysics.symbols.classical_mechanics.force` exerted on the body.

Symbol:
    :code:`F`

Latex:
    :math:`{\vec F}`

Dimension:
    :code:`force`


.. py:data:: force

    Vector of an individual :attr:`~symplyphysics.symbols.classical_mechanics.force`.

Symbol:
    :code:`F[i]`

Latex:
    :math:`{{\vec F}}_{i}`

Dimension:
    :code:`force`


.. py:data:: law

    :code:`F = Sum(F[i], i)`


    Latex:
        .. math::
            {\vec F} = \sum_i {{\vec F}}_{i}