To determine the mass of an object given its velocity and momentum, we can use the formula for momentum:
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
We are given:
- The velocity ([tex]\( v \)[/tex]) of the object is 8 m/s
- The momentum ([tex]\( p \)[/tex]) is 32 kg·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 into the equation:
[tex]\[ m = \frac{32 \, \text{kg·m/s}}{8 \, \text{m/s}} \][/tex]
By calculating the above expression:
[tex]\[ m = 4 \, \text{kg} \][/tex]
Thus, the mass of the object is 4 kg.
The correct answer is D, 4 kg.
