Collision Forces Quick Check

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Question
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

8.2 N
8.2 N

7.8 N
7.8 N

1.6 N
1.6 N

40 N
40 N

1 answer

To calculate the force with which the softball will hit the catcher’s mitt, we can use Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a):

\[ F = m \times a \]

Given:

  • Mass (m) = 0.2 kg
  • Acceleration (a) = 8 m/s²

Now, substituting the values into the formula:

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

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