To calculate the force exerted by the softball, 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 \( m = 0.2 \) kg
- Acceleration \( a = 8 \) m/s²
Now we can substitute these values into the equation:
\[ F = ma = (0.2 , \text{kg}) \times (8 , \text{m/s}^2) = 1.6 , \text{N} \]
So, the force with which the ball will hit the catcher's mitt is 1.6 N.