To determine the momentum of the object, we need to use the formula for momentum, which is given by:
[tex]\[ p = m \times v \][/tex]
where:
- [tex]\( p \)[/tex] is the momentum,
- [tex]\( m \)[/tex] is the mass of the object,
- [tex]\( v \)[/tex] is the velocity of the object.
Given:
- The mass ([tex]\( m \)[/tex]) of the object is 120 kilograms,
- The velocity ([tex]\( v \)[/tex]) of the object is [tex]\( 30 \, \text{m/s} \)[/tex].
Plugging these values into the formula, we get:
[tex]\[ p = 120 \, \text{kg} \times 30 \, \text{m/s} \][/tex]
When we multiply these values, we obtain:
[tex]\[ p = 3,600 \, \text{kg} \cdot \text{m/s} \][/tex]
Thus, the momentum of the object is [tex]\( 3,600 \, \text{kg} \cdot \text{m/s} \)[/tex].
The correct answer is:
D. [tex]\( 3,600 \, \text{kg} \cdot \text{m/s} \)[/tex]
