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