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

40 N
40 N

7.8 N
7.8 N

8.2 N
8.2 N

1.6 N
1.6 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 that \( F = ma \), where \( F \) is the force, \( m \) is the mass, and \( a \) is the acceleration.

Given:

  • Mass of the softball \( m = 0.2 \) kg
  • Acceleration of the softball \( a = 8 \) m/s²

Now, we'll calculate the force:

\[ F = ma = (0.2 , \text{kg}) \times (8 , \text{m/s}^2) = 1.6 , \text{N} \]

Thus, the force with which the ball will hit the catcher’s mitt is 1.6 N.

The correct response is 1.6 N.