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The force with which the ball will hit the catcher's mitt can be calculated using Newton's second law, which states that force (F) is equal to mass (m) multiplied by acceleration (a):
F = m * a
Given that the mass of the softball is 0.2 kg and the acceleration is 8 m/s^2, we can substitute these values into the equation:
F = 0.2 kg * 8 m/s^2
F = 1.6 N
Therefore, the ball will hit the catcher's mitt with a force of 1.6 Newtons.