What Is the Average Force Exerted by the Bat on the Baseball?

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To calculate the average force exerted by the bat on a baseball, the change in momentum (delta p) must be accurately determined. The baseball's mass is 0.150 kg, and the initial and final velocities must consider direction; thus, the correct calculation is delta p = 0.150 kg * (60 m/s - (-40 m/s)), resulting in a delta p of 15 kg·m/s. The average force is then calculated using Favg = delta p / delta t, where delta t is 0.005 seconds. This results in an average force of 3000 N, confirming the correct approach to the problem.
-EquinoX-
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Homework Statement


A 150-g baseball pitched at a speed of 40 m/s is hit straight back to the pitches at a speed of 60 m/s. If the bat is in contact with the baseball for 5 ms calculate the magnitude of the average force exerted by the bat on the baseball.


Homework Equations


Favg = delta p/ delta t


The Attempt at a Solution


delta p = m (Vf-Vi) = 0.150(60-40) = 3
Favg = 3/0.005 = 3

however the answer is 3000N, can anyone clarify where I made the mistake?
 
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-EquinoX- said:

Homework Statement


A 150-g baseball pitched at a speed of 40 m/s is hit straight back to the pitches at a speed of 60 m/s. If the bat is in contact with the baseball for 5 ms calculate the magnitude of the average force exerted by the bat on the baseball.


Homework Equations


Favg = delta p/ delta t


The Attempt at a Solution


delta p = m (Vf-Vi) = 0.150(60-40) = 3

One of the values you have put in for the velocities is not correct. Remember that you have to account for the direction of the ball with the appropriate sign.
 
oh thanks for pointing that out, it should be 60-(-40)
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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