Spring potential energy comparison

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Homework Help Overview

The discussion revolves around the potential energy of a spring as it is stretched from an equilibrium position to two different positions, A and B. Participants are exploring the relationship between the displacement of the spring and its potential energy, as described by the equation PE = 1/2 kx^2.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to understand how changes in the displacement of the spring affect its potential energy. Questions have been raised regarding the specific distances involved and the implications of the x^2 term in the potential energy equation.

Discussion Status

The discussion is ongoing, with participants clarifying the problem statement and engaging in reasoning about the potential energy changes. Some guidance has been offered regarding the interpretation of the variable x in the equation, but no consensus has been reached on the relationship between the potential energies at positions A and B.

Contextual Notes

There is a request for clarification on the problem statement and the specific distances involved in the spring's displacement. Participants are also considering the implications of the squared term in the potential energy equation, which may influence their understanding of the problem.

tourniquet63
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Homework Statement



A 0.10 m spring is stretched from equilibrium position to position A and then to position B as shown in the diagram below. Compared to the spring’s potential energy at A, what is its potential energy at B?

Homework Equations



PE = 1/2 kx^2

The Attempt at a Solution



Having trouble with this one. Is it twice as much or four times as much?
 

Attachments

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Please retype the problem statement, the question is missing.
Please fill in section 2 also.
And state or show how you arrived at your answer.

Thanks, and welcome to these forums!
 
Ooops! thanks
 
In your relevant equation, what is the description of 'x'...what distance is it describing?
 
x is the distance the spring is compressed or stretched
 
tourniquet63 said:
x is the distance the spring is compressed or stretched
Ok so in the first part it is stretched a certain distance and in the second part it is stretched double that distance. Since the PE equation includes an x^2 term, if x doubles then the PE must be ___?___ times greater.
 

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