# How does momentum relate to the newton's laws?

Jul 29, 2015

Newton's second law states that, the rate of change of momentum of a body is proportional to the applied force and the change takes place in the direction of applied force.

#### Explanation:

A simple mathematical way of writing all that is,

$\vec{F} \propto \frac{\mathrm{dv} e c p}{\mathrm{dt}}$
$\implies \vec{F} = k \frac{\mathrm{dv} e c p}{\mathrm{dt}}$

Where $k$ is the proportionality constant.

In SI units $k = 1$.