Spring constant, should be easy?

AI Thread Summary
The discussion revolves around calculating the spring constant using measurements from two different masses attached to a spring. Initial calculations for the spring constant using individual masses and their respective stretches yielded incorrect results. It was clarified that the correct approach involves using the difference in mass and distance between the two measurements to find the spring constant. The final suggestion was to plot the points on a graph to determine the gradient, which represents the spring constant. The importance of knowing the initial position of the spring was also emphasized for accurate calculations.
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Homework Statement


A spring is suspended vertically parallel to a meterstick. When a 170-g mass is attached to the bottom of the spring, the spring stretches until its bottom is adjacent to the 80-cm mark on the meterstick. When a 760-g mass is then used to replace the 170-g mass, the bottom of the spring is measured to be at the 30-cm mark. Based on these measurements, the value of the spring constant is


Homework Equations


k=mg/x


The Attempt at a Solution


Seemed simple enough, (0.17*9.8)/.2 = 8.33 N/m
then (0.76*9.8)/.7=10.64 N/m

But neither of these are correct, and if i take the sum of the masses and distance i get:
(.93*9.8)/0.9=10.126~

None of these can possibly be the correct answer.. and I am sort of lost =/
 
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New question: A spring is suspended vertically parallel to a meterstick. When a 130-g mass is attached to the bottom of the spring, the spring stretches until its bottom is adjacent to the 20-cm mark on the meterstick. Based on this measurement, the value of the spring constant is
6.37 kg/s2.
637 kg/s2.
0.00637 kg/s2.
unknown.
0.650 kg/s2.
---------------------
Where i thought it was 6.37; apparently it is unknown because you don't know that the spring's bottom was at 0cm when it started =/ Still not sure how it will help me with the first one though [the first question doesn't state that either]
 
For the first one:

Take the two points (use the weight) and plot them on a graph... your gradient is the spring constant.

Alternatively k = (m2 - m1)g / (x2 - x1)
 
Ugh, so it was the difference in the mass and distance; no idea why i took the sum. Thank you.
 
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