Elastic potential energy from displacement

Spring accumulates energy while being deformed. This law is known as the Hooke’s law.

Conditions:

1. The deformation is elastic (reversible).

Links:

1. Wikipedia, first formula.

elastic_potential_energy

The potential_energy of the spring.

Symbol:

U

Latex:

\(U\)

Dimension:

energy

stiffness

The spring’s stiffness, or spring constant.

Symbol:

k

Latex:

\(k\)

Dimension:

force/length

displacement

The displacement of the spring, or the euclidean_distance between the initial position and the rest position.

Symbol:

d

Latex:

\(d\)

Dimension:

length

law

U = k * d^2 / 2

Latex:

\[U = \frac{k d^{2}}{2}\]