A problem with Gravitational and Elastic Potential Energy

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Discussion Overview

The discussion revolves around the calculation of energy transfer involving gravitational and elastic potential energy. Participants explore the differences in results obtained from different formulas and the dynamics of a weight connected to a spring in equilibrium.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant notes a discrepancy in energy transfer calculations and seeks clarification on potential missing elements.
  • Another participant questions whether the weight remains still in the initial scenario depicted in the image.
  • A participant describes the initial conditions where the weight is at a height of 1 meter before being connected to the spring.
  • There is a query about the behavior of the weight when released, particularly regarding its motion at the equilibrium line.
  • A participant speculates whether the weight will have a specific kinetic energy and continue to swing after being released.
  • Another participant confirms the kinetic energy at a specific point during the motion and suggests checking energy at the lowest point of the swing.
  • A participant expresses satisfaction after resolving their confusion regarding the problem after several days of thought.

Areas of Agreement / Disagreement

The discussion includes multiple viewpoints regarding the behavior of the weight and the calculations involved, with no clear consensus reached on the reasons for the differences in energy calculations.

Contextual Notes

Participants have not fully resolved the assumptions regarding the system's behavior at equilibrium and the specifics of energy transfer calculations.

Who May Find This Useful

Individuals interested in gravitational and elastic potential energy, energy transfer calculations, and dynamics of systems involving springs and weights may find this discussion relevant.

Poppy38
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I am calculating the energy transfer in two different formulas and they are giving different results. What could be the reason of this difference? I would be grateful if someone tell me what i am missing here.

http://s18.postimg.org/o4tknn77d/potential.jpg
 

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Hello Poppy (!?) :smile: welcome to PF !

Does the weight hang still in the picture ?
 
The weight was at 1m high in pic.1
Then you connect it with the spring and release, it stays in equilibrium like pic.2
 
What happens if you release the weight ?
In particular: at the equilibrium line. Does it stop going down abruptly at this equilibrium line ?
 
So, is it going to have a 5J kinetic energy and swing for a time ?
 
You got it !
A point where you can do the energy check is when the weight reverses direction, i.e. at the lowest point: there the extension is two meters and the drop is 2 meters as well.
 
I've been thinking this for 3 days and at last i got it here. thanks so much :)
 
You're welcome !
 

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