Why's Applied Force Plotted On Vertical Axis?

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SUMMARY

In a Hooke's Law experiment, applied force is plotted on the vertical axis despite being the independent variable due to the equation format Fx = kx, which resembles the linear equation y = mx. This representation allows for the visualization of force as a dependent variable, where displacement is the independent variable. The negative sign in the equation indicates the spring's restoring force, emphasizing that as displacement increases, the force exerted by the spring also increases. This graph setup facilitates the calculation of the spring constant by dividing force by displacement and allows for the computation of work done by multiplying force and displacement.

PREREQUISITES
  • Understanding of Hooke's Law and its equation Fx = kx
  • Familiarity with graphing linear equations
  • Knowledge of spring mechanics and restoring forces
  • Basic principles of work and energy in physics
NEXT STEPS
  • Study the derivation and applications of Hooke's Law in various contexts
  • Learn about graphing techniques for independent and dependent variables
  • Explore the concept of spring constants and their significance in mechanics
  • Investigate the relationship between force, displacement, and work in physics
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding the principles of force and spring dynamics.

BayernBlues
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Homework Statement



Explain why applied force is plotted on the vertical axis of the graph even though it is the independent variable in a Hooke's Law experiment (involving a mass being attached to the spring)

Homework Equations



Fx = kx

The Attempt at a Solution



Maybe it's because the equation Fx = kx is in the form of y=x where Fx is the y and the k value is the slope.
 
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You'd have to give more background or information. I am not even used to force being graphed, except for an impulse.
 
Force is the dependent variable. Hookes law is for the spring. Sure if you change the amount of force you apply the displacement changes, but that's not the point. The further the displacement, the more the spring pulls back. This is the reason for the negative sign. With this graph setup, you can divide F/x to find the spring constant and multiply F*x to find the work done
 

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