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:

1. Also see Mechanical energy is constant.

Links:

1. Wikipedia.

initial_time

Initial time.

Symbol:

t_0

Latex:

\(t_{0}\)

Dimension:

time

final_time

Final time.

Symbol:

t_1

Latex:

\(t_{1}\)

Dimension:

time

mechanical_energy

mechanical_energy of the system as a function of time.

Symbol:

E(t)

Latex:

\(E{\left(t \right)}\)

Dimension:

energy

law

E(t_1) = E(t_0)

Latex:

\[E{\left(t_{1} \right)} = E{\left(t_{0} \right)}\]