Simple Conservation of energy question

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Homework Help Overview

The discussion revolves around a pole-vaulting scenario where a vaulter's kinetic energy is converted into potential energy. The original poster presents a problem involving the calculation of the height achieved during a jump, questioning the discrepancy between their calculated height and the expected height based on conservation of energy principles.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the calculation of height achieved, with some obtaining a result of 3.6 m and questioning its validity against the expected 4.6 m. There are inquiries about the starting height and the implications of the world record height in relation to the calculated height.

Discussion Status

There is ongoing exploration of the calculations and assumptions involved in the problem. Some participants have provided hints and guidance, while others are questioning the reasoning behind the height calculations and the factors that contribute to achieving heights greater than those predicted by simple energy conservation equations.

Contextual Notes

Participants note the constraints of the problem, including the maximum running speed of the vaulter and the implications of energy loss due to factors like air resistance and technique. There is also a focus on the need for additional energy sources to achieve heights beyond the calculated values.

  • #31
Derek1997 said:
Extra energy technically isn't coming from somewhere, It's just saving of energy to use it in a good cause that is stretching more.
I don't understand. Rising the extra 0.4m requires energy. It must come from somewhere.
What is being stretched, exactly?
 
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  • #32
It's because of COM, no COM more energy to raise ur body.
 
  • #33
Derek1997 said:
It's because of COM, no COM more energy to raise ur body.
I have no idea what you mean.
 
  • #34
Sorry for inconvenience, I meant since the center of mass wouldn't be within the athlete's body during the jump (he is in the air) hence, It's easier for him to cross the bar. Easier to move his legs and etc.
 
  • #35
Derek1997 said:
Sorry for inconvenience, I meant since the center of mass wouldn't be within the athlete's body during the jump (he is in the air) hence, It's easier for him to cross the bar. Easier to move his legs and etc.
Can you explain why you think that any of that is true or how you think any of that works?
 
  • #36
Derek1997 said:
center of mass
Are you considering the pole as part of that mass? If so, don't. We are assuming the pole's mass is negligible, and if we were to allow for its mass that will make it harder since some of the pole's mechanical energy will have gone into raising the pole to the vertical.

You are right that the athlete's mass centre may be external, but can you explain how, exactly?
 
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  • #37
haruspex said:
Are you considering the pole as part of that mass? If so, don't. We are assuming the pole's mass is negligible, and if we were to allow for its mass that will make it harder since some of the pole's mechanical energy will have gone into raising the pole to the vertical.

You are right that the athlete's mass centre may be external, but can you explain how, exactly?
To maximize vault height, vaulters bend their body around the bar (as shown in the figure below). In doing so, their center of mass (the red dot) can actually pass underneath the bar, while enabling their body to pass over the bar (the black dot). This means that the bar can actually be placed higher than the maximum height reached by the center of mass of the vaulter.pole vaulters do not use their strength to lift themselves over the bar. Instead, they primarily use the pole as an intermediate tool to help them convert their kinetic energy into gravitational potential energy (height). Good sprint speed combined with good gymnastic ability are what is needed to effectively utilize the pole.Air resistance also plays a role in how high a vaulter can vault. In areas of higher altitude, the air is less dense which reduces air resistance when running. This in turn means that the vaulter can reach a higher speed before the vault, which results in a higher vault. To give you an idea, if a vaulter running at 10 m/s at sea level can run 2% faster at high altitude, then he can vault about 21 cm higher at high altitude. enough?
 
  • #38
I hope that can explain part B?
 
  • #39
Derek1997 said:
I hope that can explain part B?
That (passing the mass centre below the bar) is certainly part of it, but I doubt it would get another 0.4m. You are still missing an important component hinted at in several posts.
Look at the position of the vaulter's body in relation to the part of the pole the vaulter is holding. How does this change in going from ground level to going over the bar?
 
  • #40
haruspex said:
That (passing the mass centre below the bar) is certainly part of it, but I doubt it would get another 0.4m. You are still missing an important component hinted at in several posts.
Look at the position of the vaulter's body in relation to the part of the pole the vaulter is holding. How does this change in going from ground level to going over the bar?
Horizontal velocity to vertical velocity change?
 
  • #41
Derek1997 said:
Horizontal velocity to vertical velocity change?
No, not velocity; position.
 

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