To find the force needed to give a bowling ball an acceleration, we can use Newton's second law of motion, which states that \( F = ma \), where \( F \) is the force, \( m \) is the mass of the object, and \( a \) is the acceleration.
Given:
- Mass \( m = 4.5 , \text{kg} \)
- Acceleration \( a = 9 , \text{m/s}^2 \)
Now, we calculate the force:
\[ F = m \cdot a = 4.5 , \text{kg} \cdot 9 , \text{m/s}^2 = 40.5 , \text{N} \]
So the force needed is 40.5 N. The correct option is:
40.5 N