Braking path via speed and friction force

Let an arbitrary object move along the surface at an arbitrary speed. The friction force acts on the object from the surface. Then the braking path will depend on the mass of the object, its speed and friction force.

Links:

  1. Wikipedia.

braking_path

The braking path of the object. See distance.

Symbol:

s

Latex:

\(s\)

Dimension:

length

speed

The speed of the object.

Symbol:

v

Latex:

\(v\)

Dimension:

velocity

friction_force

The friction force exerted on the object.

Symbol:

F_fr

Latex:

\(F_\text{fr}\)

Dimension:

force

mass

The mass of the object.

Symbol:

m

Latex:

\(m\)

Dimension:

mass

law

s = m * v^2 / (2 * F_fr)

Latex:
\[s = \frac{m v^{2}}{2 F_\text{fr}}\]