Finding the Spring Constant: A Simple Calculation

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SUMMARY

The discussion centers on calculating the spring constant using the formula k = (w2 - w1) / (x2 - x1). The user calculated k as 4.55 lb/in based on a load of five pounds and a change in height from 4.25 inches to 3.15 inches. However, the correct spring constant provided by the textbook is 36.4 lb/in. The discrepancy indicates a misunderstanding in the application of the formula or the values used.

PREREQUISITES
  • Understanding of Hooke's Law and spring mechanics
  • Familiarity with basic algebra and unit conversions
  • Knowledge of how to measure spring displacement
  • Ability to interpret physics equations and variables
NEXT STEPS
  • Review the derivation and application of Hooke's Law in spring calculations
  • Study the concept of spring displacement and how it relates to load
  • Learn about unit conversions in physics, particularly between pounds and inches
  • Practice additional problems involving spring constants to reinforce understanding
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and spring dynamics, as well as educators looking to clarify concepts related to Hooke's Law.

rola99
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Homework Statement



A spring having a free height of 4.25 inches is only 3.15 inches high when it supports a load of five pounds. What is the spring constant?

Homework Equations



k = (w2-w1)/(x2-x1)

The Attempt at a Solution



K = (5-0)/(4.25-3.15) = 4.55 lb/in

the book gives the right answer as 36.4lb/in

did I do anything wrong?
 
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Your answer looks right to me.
 

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