Calculating Alpha: Intercept & K

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SUMMARY

The discussion centers on calculating alpha using the intercept and the spring constant (k) in the context of a physics homework problem. The user identified an intercept of 0.228 using Excel and a spring constant of 5 kg/s². They expressed uncertainty about the relevance of the intercept in the calculation and how to incorporate it into the formula T = 2π√((m + αmspring)/k). Clarifications were sought regarding the axes for graphing T²/g and the applicable Hooke's law.

PREREQUISITES
  • Understanding of Hooke's Law and its applications
  • Familiarity with the formula for period (T) of a mass-spring system
  • Basic knowledge of graphing techniques in physics
  • Proficiency in using Excel for data analysis
NEXT STEPS
  • Study the derivation of the period formula T = 2π√((m + αmspring)/k)
  • Learn how to graph T²/g and interpret the slope and intercept
  • Review the different forms of Hooke's Law and their implications
  • Explore advanced Excel functions for statistical analysis and graphing
USEFUL FOR

Students in physics courses, educators teaching mechanics, and anyone involved in analyzing mass-spring systems and their properties.

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Homework Statement


calculate alpha using the intercept and the value of k.

Homework Equations


T= 2pi*(m+(alpha)mspring)/k)^1/2

The Attempt at a Solution


my intercept i found using EXCEL was .228 and k=5kg/s^2 which I'm pretty sure i did wrong. But i don't know how my intercept would have anything to do with this. and where to plug the intercept into. My slope turned out to be S^2/ g when i was asked to graph T^2/ g. A little help? thanks
 
Physics news on Phys.org
What are your x and y axes? Can you attach the graph? Which one of Hooke's laws is relevant? Define alpha.
 

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