Baseball Throws: Energy Conservation & Solutions

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In summary, the conversation discusses a problem involving energy conservation and the final velocities of objects in free fall. The attempt at a solution involves using the kinematic equation and determining that all of the final velocities will be equal. However, the automated answer submission system does not accept this answer and the person seeks help to determine the mistake.
  • #1
QuarkCharmer
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Homework Statement


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Homework Equations


Energy conservation et al.

The Attempt at a Solution


I think that all of the final velocities will be equal, but I am not sure how to show this mathematically. Seems like a trick question.
 
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  • #2
[tex]mgh_{i} + \frac{1}{2}mv_{0}^{2} = mgh_{f} + \frac{1}{2}mv_{f}^{2}[/tex]
[tex]gh_{i} + \frac{1}{2}v_{0}^{2} = gh_{f} + \frac{1}{2}v_{f}^{2}[/tex]
Final potential energy is zero at the ground, so:
[tex]gh_{i} + \frac{1}{2}v_{0}^{2} = \frac{1}{2}v_{f}^{2}[/tex]
Which gives that:
[tex]gh_{i} = \frac{1}{2}v_{f}^{2} - \frac{1}{2}v_{0}^{2}[/tex]
 
  • #3
I see that it turns into a familiar kinematic equation. I end up with:

[tex]v_{f}= \sqrt{2gh+v_{i}^{2}}[/tex]

Since the initial velocity of all the balls is the same, gravity is the same, and the displacement, well height, is the same, wouldn't that give me that the final velocity is equal to a constant in all cases, and thus they are all equal? Is this correct thinking?
 
  • #4
I put them as all the same, and it's incorrect? What mistake am I making here?
 
  • #5
Your thinking is correct--they are all the same. Your automated answer submission machine is having a fit.
 
  • #6
It figures. I sent my professor an email on the question. Masteringphysics is so annoying. Thanks for the help.
 

FAQ: Baseball Throws: Energy Conservation & Solutions

What is the purpose of studying baseball throws and energy conservation?

The purpose of studying baseball throws and energy conservation is to better understand the mechanics and physics behind efficient and effective throwing techniques in the sport. This knowledge can then be used to improve player performance and prevent injuries.

How does energy conservation play a role in baseball throws?

Energy conservation is a crucial aspect of baseball throws as it helps players conserve energy and reduce fatigue, allowing them to make accurate and powerful throws throughout the game. It also helps prevent injuries by reducing the strain on the player's arm and shoulder.

What are some common solutions for conserving energy during a baseball throw?

Some common solutions for conserving energy during a baseball throw include using proper throwing mechanics, such as a smooth and fluid arm motion, using the legs and core muscles to generate power, and maintaining a balanced and stable body position throughout the throw.

How can energy conservation improve a player's throwing accuracy and velocity?

By conserving energy, players can maintain proper form and technique throughout the throw, leading to improved accuracy and velocity. This is because energy conservation helps players avoid unnecessary movements and strain, allowing them to focus on the precision and power of their throw.

What are some potential challenges in implementing energy conservation techniques in baseball throws?

Some potential challenges in implementing energy conservation techniques in baseball throws include adjusting to new throwing mechanics, breaking old habits, and finding the balance between conserving energy and maintaining throwing power. It may also take time and practice for players to fully incorporate these techniques into their game.

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