Hooke's Law Lab Spring Constant Calculation

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Homework Statement


I need to calculate a spring constant using measurements from a Hooke's Law Apparatus, a spring, and some weights. The weights are hung vertically from the spring and the distance is measured from the equilibrium point of the spring. If I'm solving for k, then k=F/x. I do this for the different lengths of the spring and masses of the weights, and get very different answers for the constant. So here are my questions: 1) Am I even using the right formula? If I'm not, you can go give me the right one. 2) Shouldn't a constant be constant? And help on this matter would be greatly appreciated.

Homework Equations

The Attempt at a Solution


Word table with three columns headed K, Weight (Newtons) and ΔX (Metres), listing six rows of values such as .0196/.001=19.6 with weights .0196, .1176, .2156, .3136, .4116 and .5096 N and displacements .001, .015, .042, .07, .095 and .124 m.
 
Attachments
  • Word table with three columns headed K, Weight (Newtons) and ΔX (Metres), listing six rows of values such as .0196/.001=19.6 with weights .0196, .1176, .2156, .3136, .4116 and .5096 N and displacements .001, .015, .042, .07, .095 and .124 m.
    upload_2018-1-27_17-27-24.png
    18.6 KB · Views: 555
Chestermiller said:
Do you get a straight line if you plot weight versus Delta x?

Yes I do
Scatter plot titled Force (Newtons) vs. ΔX (Metres) with a dotted best-fit line; six labelled points rise from about (0.01, 0.001) to (0.51, 0.124), with labels 0.001, 0.015, 0.042, 0.07, 0.095 and 0.124 on the y-axis.
 
Attachments
  • Scatter plot titled Force (Newtons) vs. ΔX (Metres) with a dotted best-fit line; six labelled points rise from about (0.01, 0.001) to (0.51, 0.124), with labels 0.001, 0.015, 0.042, 0.07, 0.095 and 0.124 on the y-axis.
    upload_2018-1-27_19-51-22.png
    3.7 KB · Views: 607