Why Is Applied Force Plotted on the Vertical Axis in Spring Graphs?

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    Graphing Springs
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Homework Help Overview

The discussion revolves around the plotting of applied force on the vertical axis in spring graphs, specifically in the context of Hooke's Law and the relationship between force and spring deflection.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the reasoning behind the choice of axis for applied force, questioning its status as an independent or dependent variable in relation to spring deflection.

Discussion Status

There are differing views on whether applied force should be considered independent or dependent. Some participants suggest that plotting it this way allows for a clear interpretation of the slope as the spring constant, while others challenge this by emphasizing the dependence of force on deflection.

Contextual Notes

Participants are examining the implications of graphing conventions and the underlying physics principles, such as Hooke's Law, without reaching a definitive consensus on the interpretation of the variables involved.

Kevin_14
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Does anyone have any idea why applied force is plotted on the vertical axis of the graph even though it is an independent variable?
 
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Likely so that the slope is k. F=-kx
 
In 99% of the springs you'll see, the applied force (which is equivalent to the force supplied by the spring) is a function of spring deflection. It is not an independent variable. It is totally dependent on deflection.
 
denverdoc said:
Likely so that the slope is k. F=-kx
...and the area under the curve is the work done.
 

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