To find the force with which the ball will hit the catcher's mitt, we can use Newton's second law of motion, which states that force \( F \) is equal to mass \( m \) multiplied by acceleration \( a \):
\[ F = m \times a \]
Here, the mass \( m \) of the softball is 0.2 kg, and the acceleration \( a \) is 8 m/s².
Now, substituting the values into the formula:
\[ F = 0.2 , \text{kg} \times 8 , \text{m/s}² = 1.6 , \text{N} \]
So, the force with which the ball will hit the catcher’s mitt is 1.6 N.