Sure, let's solve this question step-by-step to determine the momentum of the baseball.
To find the momentum of an object, we use the formula:
[tex]\[ p = m \times v \][/tex]
where:
- \( p \) is the momentum,
- \( m \) is the mass of the object,
- \( v \) is the velocity (or speed) of the object.
Given:
- The mass \( m \) of the baseball is \( 0.45 \) kg,
- The speed \( v \) of the baseball is \( 25 \) m/s.
Now, substituting the given values into the formula:
[tex]\[ p = 0.45 \, \text{kg} \times 25 \, \text{m/s} \][/tex]
When you multiply 0.45 by 25, you get:
[tex]\[ p = 11.25 \, \text{kg} \cdot \frac{\text{m}}{\text{s}} \][/tex]
Thus, the momentum of the baseball is \( 11.25 \, \text{kg} \cdot \frac{\text{m}}{\text{s}} \).
Among the provided options:
[tex]\[ 0.018 \, \text{kg} \cdot \frac{\text{m}}{\text{s}} \][/tex]
[tex]\[ 11 \, \text{kg} \cdot \frac{\text{m}}{\text{s}} \][/tex]
[tex]\[ 56 \, \text{kg} \cdot \frac{\text{m}}{\text{s}} \][/tex]
[tex]\[ 140 \, \text{kg} \cdot \frac{\text{m}}{\text{s}} \][/tex]
The closest option to our calculated value of \( 11.25 \, \text{kg} \cdot \frac{\text{m}}{\text{s}} \) is:
\[ 11 \, \text{kg} \cdot \frac{\text{m}}{\text{s}} \)
Therefore, the correct answer is [tex]\( 11 \, \text{kg} \cdot \frac{\text{m}}{\text{s}} \)[/tex].
