How do I calculate the elastic potential energy stored in a spring?

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Homework Help Overview

The discussion revolves around calculating the elastic potential energy stored in a spring, specifically in the context of a stapler's spring with given dimensions and spring constant.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to understand how to incorporate potential energy into their calculations, expressing confusion about the relationship between force and potential energy. Some participants suggest using calculus to derive the potential energy, while others provide a formula that simplifies the process for those familiar with calculus.

Discussion Status

The discussion is active, with participants offering different perspectives on how to approach the problem. There is a mix of suggestions regarding the use of calculus and simpler formulas, indicating a productive exchange of ideas without a clear consensus on the preferred method.

Contextual Notes

The original poster mentions a lack of clarity regarding the potential energy aspect, which may indicate a gap in understanding the relationship between force, displacement, and energy in the context of springs.

lilmul123
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This is my first time here! Thanks for the help in advance.

The staples inside a stapler are kept in place
by a spring with a relaxed length of 0.115 m.
If the spring constant is 45.0 N/m, how
much elastic potential energy is stored in the
spring when its length is 0.145 m? Answer in
units of J.

I know I have to use F=kx (maybe), but what's confusing me is the potential energy part. How do I fit that into finding the answer?
 
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elastic P.E = work done to compress =integral of [(F)x(dx)] between the limits 0.145 and 0.115
 
If you haven't done calculus, the result Amith2006 is pointing you toward can be written PE=(1/2)*k*x^2, where x is the displacement from equilibrium.
 
Yeah, I've done calculus, but thank you both!
 

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