Spring constant, should be easy?

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Homework Help Overview

The discussion revolves around determining the spring constant using measurements from a spring's stretch when different masses are attached. The context involves concepts from mechanics, specifically Hooke's Law and the relationship between force, mass, and displacement.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore various methods to calculate the spring constant, including using the formula k=mg/x and considering the differences in mass and displacement. Some express confusion over the initial conditions and how they affect the calculations.

Discussion Status

Participants are actively discussing their attempts to calculate the spring constant, with some providing alternative methods and others reflecting on their misunderstandings. There is recognition of the need to clarify initial conditions for accurate calculations.

Contextual Notes

There is mention of missing information regarding the initial position of the spring, which affects the calculations. Participants also note discrepancies in their results and the implications of different mass values used in the 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 =/
 
Physics news on Phys.org
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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