How to demostrate k in Hook' s law?

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SUMMARY

To demonstrate the spring constant k in Hook's Law, a vertical spring setup is utilized where a mass is suspended from the spring. By measuring the stretch of the spring and the corresponding force applied (the weight of the mass), multiple trials with varying masses allow for the collection of data. Plotting a graph of force (F) versus displacement (x) reveals a linear relationship, with the slope of the line representing the spring constant k, confirming Hook's Law.

PREREQUISITES
  • Understanding of Hook's Law and its formula (F = kx)
  • Basic knowledge of force and weight measurement
  • Familiarity with graphing linear relationships
  • Experience with experimental data collection and analysis
NEXT STEPS
  • Explore different methods for measuring spring displacement accurately
  • Investigate the effects of varying mass on spring behavior
  • Learn about the limitations and assumptions of Hook's Law
  • Study the relationship between spring constants and material properties
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Physics students, educators conducting experiments on elasticity, and anyone interested in the practical applications of Hook's Law in mechanics.

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How to demostrate k in Hook' s law?
 
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Experimentally, you could probably use a spring setup where a spring is suspended vertically, and a mass is hung at the end. You measure the length of stretch of the spring, as well as the force applied to it (which is the weight of the mass). Doing multiple trials with different masses will give you enough data to plot a graph of F vs. x. You will notice that the slope of this line is constant, and it is equal to k.
 

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