To determine the mass of an object when the velocity and momentum are given, we can use the formula for momentum:
[tex]\[ p = m \cdot v \][/tex]
where:
- [tex]\( p \)[/tex] is the momentum,
- [tex]\( m \)[/tex] is the mass,
- [tex]\( v \)[/tex] is the velocity.
Given:
- Momentum ([tex]\( p \)[/tex]) = 72 kg·m/s
- Velocity ([tex]\( v \)[/tex]) = 9 m/s
We need to find the mass ([tex]\( m \)[/tex]). Rearrange the formula to solve for mass:
[tex]\[ m = \frac{p}{v} \][/tex]
Substitute the given values:
[tex]\[ m = \frac{72 \, \text{kg·m/s}}{9 \, \text{m/s}} \][/tex]
[tex]\[ m = 8 \, \text{kg} \][/tex]
Therefore, the mass of the object is:
[tex]\[ \boxed{8 \, \text{kg}} \][/tex]
Thus, the correct option is D.
