Which has more momentum, an object with a mass of 9kg moving at 8m/s or an object with a mass of 6kg moving at 14m/s?

Jun 7, 2018

The second object of course...

Explanation:

Momentum $\left(p\right)$ is given by the equation:

$p = m v$

where:

• $m$ is the mass of the object

• $v$ is the velocity of the object

So, we get:

${p}_{1} = {m}_{1} {v}_{1}$

$= 9 \setminus \text{kg"*8 \ "m/s}$

$= 72 \setminus \text{kg m/s}$

Meanwhile,

${p}_{2} = {m}_{2} {v}_{2}$

$= 6 \setminus \text{kg"*14 \ "m/s}$

$= 84 \setminus \text{kg m/s}$

From here, we see that ${p}_{2} > {p}_{1}$, and so the second object has more momentum than the first one.