To find the force exerted on the ball, we can use Newton's second law of motion, which states that force (\(F\)) is equal to mass (\(m\)) multiplied by acceleration (\(a\)):
\[ F = m \cdot a \]
Given:
- Mass of the ball (\(m\)) = 0.6 kg
- Acceleration (\(a\)) = 13.7 m/s²
Now we can substitute the values into the equation:
\[ F = 0.6 , \text{kg} \times 13.7 , \text{m/s}² \]
Calculating this:
\[ F = 8.22 , \text{N} \]
Thus, the force exerted on the ball is \(8.22 , \text{N}\) to the left.