Calculating Energy Stored in a Spring

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Homework Help Overview

The original poster attempts to calculate the energy stored in a spring given its spring constant and maximum stretch. The relevant equation for potential energy in a spring is provided, and an initial calculation is made.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the correctness of the calculation and the interpretation of the energy stored in the spring. Questions arise regarding the units of energy and significant figures in the context of the problem.

Discussion Status

There is ongoing dialogue about the accuracy of the initial calculation and the implications of significant figures. Some participants suggest that the original answer may have been misentered, leading to confusion. Guidance on unit conversion and significant figures is being explored.

Contextual Notes

Participants note the importance of significant figures in the context of the problem, as well as the potential for misinterpretation of numerical values. The discussion reflects a learning process regarding the application of formulas and the importance of precision in calculations.

aligass2004
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Homework Statement



How much energy can be stored in a spring with k = 400N/m if the maximum possible stretch is 12cm?

Homework Equations



U = 1/2k(x^2)

The Attempt at a Solution



I tried using the above equation. U = 1/2(400)(.12^2) = 2.88.
 
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This looks correct, what's your question exactly?
 
If I'm not mistaken, that's the energy of just one particle from the spring.
 
The mechanical energy is stored uniformly in the spring for the most part (assuming uniform material properties, e.g. elastic modulus), but that is the energy that would be imparted to any mass at the end of the spring (with respect to the other end) if the spring were released and pushed or pulled the mass.
 
Well I tried the answer, and it was wrong. I don't know what other equation I would use.
 
aligass2004 said:
Well I tried the answer, and it was wrong. I don't know what other equation I would use.
what units should you use for the stored energy? (You left them out).
 
It would be (N/m)(m^2) = Nm = J
 
aligass2004 said:
It would be (N/m)(m^2) = Nm = J
OK try 2.88J or 2.9J (I'm not good at significant figures) and see if the computer buys it.
 
As far as sig figs go, I think it should be 3 Joules. We only know the spring constant to one significant digit.
 
  • #10
hotcommodity said:
As far as sig figs go, I think it should be 3 Joules. We only know the spring constant to one significant digit.
Yes, I think you're right, webassign gets very picky.
 
  • #11
Holy crap everyone! I am so sorry about this problem. I was just going to try entering 3, when I noticed that I didn't put the decimal point into my original answer. BIG difference between 288 and 2.88! Sorry again!
 
  • #12
aligass2004 said:
Holy crap everyone! I am so sorry about this problem. I was just going to try entering 3, when I noticed that I didn't put the decimal point into my original answer. BIG difference between 288 and 2.88! Sorry again!
Great, just when I learn how to do significant figures, the computer wasn't looking for 'em. That figures!
 

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