The instant before a batter hits a .14 KG baseball, the velocity of the ball is 45 meters per second west. The instant after the batter hits the ball, the ball's velocity is 35 meters per second eat. The bat and ball are in contact for 1.0 x 10 ^-2 second.
How do I determine the magnitude and direction of the average acceleration of the baseball while it is in contact with the bat?
it is Fnet= 1.1 times 10 to the third power!
To determine the magnitude and direction of the average acceleration while the baseball is in contact with the bat, you can use the following formula:
Average Acceleration = (Change in Velocity) / (Time)
To calculate the change in velocity, you need to find the difference between the final velocity and the initial velocity:
Change in Velocity = Final Velocity - Initial Velocity
Given that the initial velocity is 45 meters per second west and the final velocity is 35 meters per second east, we need to convert both velocities into a common direction. Let's choose the direction east as the positive direction. Therefore, the initial velocity becomes -45 meters per second, and the final velocity remains 35 meters per second.
Now, we can calculate the change in velocity:
Change in Velocity = 35 - (-45)
Change in Velocity = 35 + 45
Change in Velocity = 80 meters per second
Next, we need to determine the time of contact. You mentioned that the bat and ball are in contact for 1.0 x 10^-2 seconds.
Now, we can substitute the values into the formula to calculate the average acceleration:
Average Acceleration = (Change in Velocity) / (Time)
Average Acceleration = 80 meters per second / 1.0 x 10^-2 seconds
Average Acceleration = 8000 meters per second squared
The magnitude of the average acceleration is 8000 meters per second squared.
To determine the direction of the average acceleration, we need to consider that the velocity changes from west to east. Therefore, the average acceleration is directed from west to east.
In summary, the magnitude of the average acceleration of the baseball while it is in contact with the bat is 8000 meters per second squared, and its direction is from west to east.