Question
What is the average acceleration of a 0.15 kg baseball if the the average force the bat exerted on the ball is -15,000 N?
Answers
GPT-4o mini
To find the average acceleration of the baseball, we can use Newton's second law of motion, which states that force equals mass times acceleration (F = m * a).
Rearranging this equation to solve for acceleration (a), we get:
\[
a = \frac{F}{m}
\]
Given:
- The average force (F) exerted by the bat is -15,000 N (the negative sign indicates the direction of the force).
- The mass (m) of the baseball is 0.15 kg.
Now we can substitute these values into the equation:
\[
a = \frac{-15,000 \, \text{N}}{0.15 \, \text{kg}}
\]
Calculating this gives:
\[
a = -100,000 \, \text{m/s}^2
\]
Thus, the average acceleration of the baseball is \(-100,000 \, \text{m/s}^2\).
Rearranging this equation to solve for acceleration (a), we get:
\[
a = \frac{F}{m}
\]
Given:
- The average force (F) exerted by the bat is -15,000 N (the negative sign indicates the direction of the force).
- The mass (m) of the baseball is 0.15 kg.
Now we can substitute these values into the equation:
\[
a = \frac{-15,000 \, \text{N}}{0.15 \, \text{kg}}
\]
Calculating this gives:
\[
a = -100,000 \, \text{m/s}^2
\]
Thus, the average acceleration of the baseball is \(-100,000 \, \text{m/s}^2\).