Determining impulse on baseball from bat given velocity change

In summary, the magnitude of the impulse delivered to the baseball is 0.8918 kg*m/s. The incorrect answer was due to a sign error in the calculation of the change in velocity. By properly selecting a direction and representing velocities as positive and negative numbers, the correct magnitude of the impulse can be calculated using the equation impulse = mass * change in velocity.
  • #1
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Homework Statement


A(n) 0.182 kg baseball is thrown with a speed of 15.3 m/s. It is hit straight back at the
pitcher with a final speed of 10.4 m/s. What is the magnitude of the impulse delivered to the ball?

Homework Equations


impulse=mass*change of velocity

The Attempt at a Solution


.182*-4.9(change in velocity)=-.8918 answer is wrong is it the sign
 
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  • #2


It is a sign problem, yes. Select a direction and write speeds in that direction as positive numbers and speeds in the opposite direction as negative numbers and try again (hint: the change in velocity is not 4.9 m/s but 25.7 m/s).
 

FAQ: Determining impulse on baseball from bat given velocity change

1. How do you determine the impulse on a baseball from a bat given a velocity change?

To determine the impulse on a baseball, you need to know the change in velocity of the ball after being hit by the bat. This can be calculated by subtracting the initial velocity of the ball from the final velocity. Once you have this value, you can use the equation impulse = mass x change in velocity to calculate the impulse on the ball. The mass of the ball can be found in standard baseball weight charts.

2. Why is it important to determine the impulse on a baseball?

Determining the impulse on a baseball allows us to understand the amount of force that is being applied to the ball when it is hit by a bat. This information is useful for players and coaches in order to improve their hitting technique and optimize their performance. It can also be used in the design and testing of baseball equipment to ensure player safety and effectiveness.

3. How does the mass of the ball affect the impulse?

The mass of the ball directly affects the impulse as it is a component in the impulse equation. A heavier ball will have a greater impulse compared to a lighter ball, assuming the change in velocity is the same. This means that a heavier ball will require more force to be applied in order to achieve the same change in velocity as a lighter ball.

4. Can the impulse on a baseball be negative?

Yes, the impulse on a baseball can be negative if the change in velocity is negative. This means that the ball is slowing down after being hit by the bat. Negative impulse can also occur if the ball is hit in the opposite direction of its initial velocity, resulting in a change in velocity with a different direction.

5. How can the impulse on a baseball be increased?

To increase the impulse on a baseball, one can either increase the mass of the ball or increase the change in velocity. This can be achieved by applying more force when hitting the ball with a bat or using a heavier bat. However, it is important to note that there are limits to how much force can be applied and that player safety should always be a priority.

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