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The force can be calculated using Newton's second law, which states that force is equal to mass multiplied by acceleration.
The mass of the softball is 0.2 kg and the acceleration is 8 m/s^2.
Force = mass x acceleration
Force = 0.2 kg x 8 m/s^2
Force = 1.6 kg m/s^2
Therefore, the force with which the ball will hit the catcher's mitt is 1.6 N.