Springs in series affecting the uncertainty

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SUMMARY

The discussion focuses on the calculation of uncertainties when springs are arranged in series, specifically addressing how the spring constant is affected. It is established that the spring constant divides by 3 when three springs are in series, impacting both percentage and absolute uncertainties. The equation F = K e is crucial for understanding the relationship between force (F), spring constant (K), and extension (e). Participants emphasize the importance of attempting a solution rather than simply stating a lack of understanding.

PREREQUISITES
  • Understanding of Hooke's Law (F = K e)
  • Knowledge of spring constants and their behavior in series
  • Basic concepts of uncertainty in measurements
  • Familiarity with percentage and absolute uncertainty calculations
NEXT STEPS
  • Research the effects of combining springs in series on spring constants
  • Learn about calculating absolute and percentage uncertainties in experiments
  • Explore advanced applications of Hooke's Law in physics
  • Investigate common mistakes in applying equations related to spring systems
USEFUL FOR

Physics students, educators, and anyone involved in experimental mechanics or spring system analysis will benefit from this discussion.

edwan001
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Homework Statement
The question is: 'State how adding three springs in series when setting up the masses experiment to measure the spring constant of a spring will affect the absolute uncertainty and the percentage uncertainty for the extension and the value of the spring constant'. Thank you!
Relevant Equations
F = Ke
F = 1/2Ke^2
No idea on this one - I know that the spring constant will divide by 3 but am unsure how this will affect the % and the absolute uncertainties. Completely stuck on the extension...
 
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Hello Edwan, :welcome: !

Not the way PF works ! You have to make an inroad somehow by posting an attempt at solution.
Just 'dunno' isn't good enough !
There's something wrong with your equations, too. From F = F, I conclude e = 2.

To get you going: your knowledge "that the spring constant will divide by 3" in combination with ##F = K e## where (F = , K = , e =...) leads to ...
 

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