eqn2

Definition of momentum\

It is convenient to define a physical quantity called momentum, usually indicated by the symbol $p$, as the product of its mass $m$ by its velocity $\vec{v}$

\begin{equation}
\vec{p} = m \vec{v}
\end{equation}

The momentum is a vector quantity which has the same direction as the velocity of a body.

The unit of measurement of momentum in the SI system is the product of the units of mass and velocity and thus is the kg m/s.

A new form of the Second Newton’s Law\

Newton’s Second Law can be expressed in terms of change in momentum:

\begin{equation}
\vec{F}{net} = m \vec{a} = m \frac{(\vec{v}{final} -\vec{v}{initial} )}{\Delta t} = \frac{m \vec{v}{final} – m \vec{v}{initial} }{\Delta t} = \frac{\vec{p}{final} -\vec{p}{initial} )}{\Delta t} \end{equation} which can be written in the more compact form \begin{equation} \vec{F}{net} = \frac{\Delta \vec{p}}{\Delta t}
\end{equation}