College Baseball Player Comparing Wooden and Metal Bats: Calculating Ball Acceleration

What was the acceleration of the ball in both cases?

The acceleration of the ball in both cases is 872483.22 m/s^2.

Answer:

In both cases, the acceleration of the ball was calculated to be 872483.22 m/s^2.

Calculating the acceleration of the ball in both cases involves applying Newton's second law of motion, which relates force, mass, and acceleration. The formula is F = ma, where F represents force, m stands for mass, and a denotes acceleration.

Given that the force exerted during a swing is 130000 N and the mass of the baseball is 0.149 kg, we can determine the acceleration in both scenarios.

For the wooden bat:

Force = mass * acceleration

130000 N = 0.149 kg * acceleration

To find acceleration, we divide the force by the mass:

acceleration = 130000 N / 0.149 kg = 872483.22 m/s^2

For the metal bat:

Using the same formula, we get:

Force = mass * acceleration

130000 N = 0.149 kg * acceleration

Following the calculation, we find:

acceleration = 130000 N / 0.149 kg = 872483.22 m/s^2

Therefore, the acceleration of the ball remains consistent at 872483.22 m/s^2 for both the wooden and metal bat scenarios.

Understanding the acceleration of an object in motion is crucial in various fields. To delve deeper into the concept of acceleration and its applications, explore more resources on the subject.