Force vs Displacement: Constant Force Experiment Results

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Homework Help Overview

The discussion revolves around the relationship between force and displacement in the context of an experiment involving rubber bands, specifically examining whether a constant displacement leads to a constant increase in force, as described by Hooke's Law.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the linear relationship between force and displacement, questioning the meaning of "constant" in this context and discussing the validity of Hooke's Law within certain limits.

Discussion Status

The discussion includes clarifications on the linear relationship and the conditions under which Hooke's Law applies. Some participants express uncertainty about specific terminology, while others provide mathematical representations relevant to the topic.

Contextual Notes

Participants are considering the limitations of the linear model, particularly near the elastic limit of the rubber bands used in the experiment.

UrbanXrisis
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It is true that whether using one rubber band or a bunch, a constant displacement will result in a constant increase in force?

I did this experiment in school and both experiements gave me a linear line for Force vs Displacement.
 
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That's Hooke's Law. To a close order of approximation, as long as you aren't near the elastic limit, yes.
 
I'm not quite sure what you mean by "constant" in this context, urbanXrisis:

We say that we have a LINEAR relationship between force and displacement if (for example) a doubling of the displacement causes a doubling of the force.
In the case of rubber band (or a bunch of them), modelling the force/displacement as a linear relationship is close enough to reality to be called true..(up to a point, that is..)

Was this what you were asking about?
 
yes, thanks for the replys, it helped me out
 
Urban, also consider

Straight Line Equation

[tex]y = mx + b[/tex]

Hooke's Law

[tex]F = kx[/tex]
 

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