Work done by stretching a STring

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Homework Help Overview

The discussion revolves around calculating the work done on a steel string that is stretched a certain length. The subject area includes concepts from mechanics and material science, particularly focusing on elastic potential energy and the properties of materials under stress.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to apply the concept of elastic potential energy but is uncertain about the value of the spring constant, k. Some participants suggest that the problem may require additional information, such as the modulus of elasticity and the geometry of the wire, to find the appropriate equation.

Discussion Status

Participants are exploring different aspects of the problem, including the relationship between the elastic modulus and the spring constant. There is a suggestion to confirm the dimensional analysis of the variables involved, indicating a productive direction in the discussion.

Contextual Notes

There is a question about whether the original problem statement is complete, as it may lack necessary details for a full solution. The discussion also highlights the importance of understanding the properties of materials, such as the modulus of elasticity and cross-sectional area.

nickclarson
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I have been looking all over for an equation to find the work done on a steel string that is stretched L meters.

"Find the work needed to stretch the string."

I know it has variable forces so I was thinking I could use elastic potential

U=\frac{kx^{2}}_{2}

but now I have the problem finding out what K is.

ANY help is appreciated thanks.

Nick
 
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Is this a homework problem? That can't be the full question. You've got the right idea if the steel wire can be considered as a spring. You'll need a modulus of elasticity and the geometry of the wire to actually do this.
 
yea I have the area of the wire and the modulus... I just need help figuring out which equation to use.

Thanks,
Nick
 
Didn't they give you a formula for that as well? The elastic modulus Y, has units of N/m^2, yes? k should have units of N/m. So I would guess on purely dimensional grounds that if L is length and A is cross sectional area that k=Y*A/L. Can you confirm that by doing some research? Units are your friend. Exploit them.
 

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