A 0.2-kilogram softball is thrown toward a catcher’s mitt. The ball is accelerating at a rate of 8 meters per second squared. With what force will the ball hit the catcher’s mitt?(1 point) Responses 1.6 N 1.6 N 8.2 N 8.2 N 40 N 40 N 7.8 N

1 answer

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.