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Conservation of mechanical energy
In an isolated system, the total mechanical energy is conserved:
$$E_{\text{total}} = E_k + E_p = \text{constant}$$
Mechanical energy
Mechanical energy is the sum of an object's kinetic energy and potential energy.
The work-energy theorem
The work-energy theorem states that the net work done on an object is equal to the change in its kinetic energy.
Work
Work is defined as the product of the force applied to an object, the displacement of the object, and the cosine of the angle between the force and the displacement.