A problem with Gravitational and Elastic Potential Energy

AI Thread Summary
The discussion revolves around discrepancies in energy transfer calculations involving gravitational and elastic potential energy. The user is trying to understand why two formulas yield different results when analyzing a weight connected to a spring. Key points include the weight's behavior at equilibrium and the kinetic energy it possesses when released. The conversation highlights the importance of considering the weight's position and motion, particularly at the lowest point of its swing. Ultimately, the user gains clarity on the energy dynamics involved in the system.
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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