Question

two pitchers on a baseball team are practicing their fastball. the first pitcher uses a force of 4 n to throw the ball. the second pitcher throws a ball that reaches an acceleration of 42 m/s². the ball has a mass of 0.14 kg.
which statement about the two pitches is true?
a. the second pitch was thrown with a greater amount of force than the first pitch.
b. the first pitch was thrown with a greater amount of force than the second pitch.
c. the first pitch and second pitch were thrown with the same amount of force.
d. the second pitch was thrown with a lesser amount of force than the first pitch.

Explanation:

Step1: Calculate the force of the second pitch

According to Newton's second law \(F = ma\) (where \(m\) is mass and \(a\) is acceleration). Given \(m = 0.14\space kg\) and \(a=42\space m/s^{2}\), then \(F = 0.14\times42\).

$$F=0.14\times42 = 5.88\space N$$

Step2: Compare the two forces

The first - pitch force \(F_1 = 4\space N\), and the second - pitch force \(F_2=5.88\space N\)

Since \(5.88>4\), the second - pitch force is greater than the first - pitch force.

Answer:

A. The second pitch was thrown with a greater amount of force than the first pitch.