To find the force with which the ball hits 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:
- Mass (\( m \)) = 0.2 kg
- Acceleration (\( a \)) = 8 m/s²
Now, we can plug in the values:
\[ F = 0.2 , \text{kg} \times 8 , \text{m/s}² \] \[ F = 1.6 , \text{N} \]
Thus, the force with which the ball will hit the catcher's mitt is 1.6 N.