Calculate Potential Energy of 8.4N Spring w/31.9 N/m Constant

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To calculate the potential energy stored in a spring, the relationship between force and displacement is crucial, expressed by Hooke's Law (F = -kx). In this case, the force of 8.4 N corresponds to the spring constant of 31.9 N/m, allowing for the determination of the spring's compression. The potential energy (PE) can then be calculated using the formula PE = 0.5 * k * x^2, where x is the displacement. The discussion highlights a lack of prior knowledge about springs, prompting participants to clarify the necessary concepts. Understanding these principles is essential for solving the problem effectively.
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A force of 8.4 N holds an ideal spring with a 31.9 N/m spring constant in compression. How much potential energy is stored in the spring?

I would think it would be PE =mgh
to get m you divide the force/g
but now I am not sure what to do after that.
Any help would be great!
 
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Firstly how is F (the force) related to the extension (or compression) of an ideal spring?
 
you will have to find the compressed displacement by the formula f=-kx
 
I'm not sure. My Teacher just through this problem at us without much explanation. We haven't even covered springs. I'll look into your question though I am not sure I fully understand it.
Thanks!
 
OH! Now I can understand that! Fx= -kx...Thank you I will try and see what I get!
 

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