# Which has more momentum, an object with a mass of 6kg moving at 2m/s or an object with a mass of 12kg moving at 3m/s?

May 9, 2018

Second object

#### Explanation:

Momentum of an object is given by the equation:

$p = m v$

• $p$ is the momentum of the object

• $m$ is the mass of the object

• $v$ is the velocity of the object

Here, ${p}_{1} = {m}_{1} {v}_{1} , {p}_{2} = {m}_{2} {v}_{2}$.

The first object's momentum is:

${p}_{1} = 6 \setminus \text{kg"*2 \ "m/s}$

$= 12 \setminus \text{kg m/s}$

The second object's momentum is:

${p}_{2} = 12 \setminus \text{kg"*3 \ "m/s}$

$= 36 \setminus \text{kg m/s}$

Since $36 > 12$, then ${p}_{2} > {p}_{1}$, and so the second object has a higher momentum than the first object.