# Which has more momentum, a 5kg object moving at 8m/s or a 12kg object moving at 2m/s?

Dec 26, 2015

This is only asking about one equation. This should take no more than 1 minute.

Momentum is just the quantity of motion for a moving object.

Hence you need mass and velocity.

$\vec{p} = m \vec{v}$
where $\vec{p}$ is momentum, $m$ is mass in $\text{kg}$, and $\vec{v}$ is velocity in $\text{m/s}$.

So...

${\vec{p}}_{1} = {m}_{1} {\vec{v}}_{1}$
${\vec{p}}_{2} = {m}_{2} {\vec{v}}_{2}$

${\vec{p}}_{1} \text{ ? } {\vec{p}}_{2}$

$\left(\text{5 kg")("8 m/s")" ? "("12 kg")("2 m/s}\right)$

$\text{40 kg"cdot"m/s" > "24 kg"cdot"m/s}$

Hence

$\textcolor{b l u e}{{\vec{p}}_{1} > {\vec{p}}_{2}}$