To find the acceleration of the bowling ball when a force is applied, we can use Newton's second law of motion, which states:
\[ F = m \cdot a \]
Where:
- \( F \) is the force applied (in newtons),
- \( m \) is the mass of the object (in kilograms),
- \( a \) is the acceleration (in meters per second squared).
We can rearrange this equation to solve for acceleration \( a \):
\[ a = \frac{F}{m} \]
Given:
- \( F = 42 \) newtons,
- \( m = 3.0 \) kilograms,
We can plug in the values:
\[ a = \frac{42 , \text{N}}{3.0 , \text{kg}} = 14 , \text{m/s}^2 \]
Thus, the resulting acceleration of the bowling ball is \( 14 , \text{m/s}^2 \).