List of Equations in Classical Mechanics - Energy

Energy

The mechanical work done by an external agent on a system is equal to the change in kinetic energy of the system:

General work-energy theorem (translation and rotation)

The work done W by an external agent which exerts a force F (at r) and torque τ on an object along a curved path C is:

where θ is the angle of rotation about an axis defined by a unit vector n.

Kinetic energy
Elastic potential energy

For a stretched spring fixed at one end obeying Hooke's law:

where r2 and r1 are collinear coordinates of the free end of the spring, in the direction of the extension/compression, and k is the spring constant.

Read more about this topic:  List Of Equations In Classical Mechanics

Famous quotes containing the word energy:

    The principle of avoiding the unnecessary expenditure of energy has enabled the species to survive in a world full of stimuli; but it prevents the survival of the aristocracy.
    Rebecca West (1892–1983)

    Perhaps catastrophe is the natural human environment, and even though we spend a good deal of energy trying to get away from it, we are programmed for survival amid catastrophe.
    Germaine Greer (b. 1939)

    Children are intensely invested in getting their way. They will devote more emotional and intellectual energy to winning arguments than parents ever will, and are almost always better rested.
    Jean Callahan (20th century)