Energy physics help: Finding spring constants

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SUMMARY

The discussion focuses on determining the spring constants for two springs using the provided graph. The relevant equations are the Potential Elastic Energy equation, E = (1/2)k(x^2), and Hooke's Law, F = -kx. To find the spring constants, one must analyze the graph to extract the displacement (x) and corresponding force (F) values, then apply these values in Hooke's Law to solve for k.

PREREQUISITES
  • Understanding of Hooke's Law and its application
  • Familiarity with the Potential Elastic Energy equation
  • Ability to interpret graphs and extract data points
  • Basic algebra skills for solving equations
NEXT STEPS
  • Learn how to extract data from graphs for physics problems
  • Study the relationship between force and displacement in springs
  • Practice solving problems involving Hooke's Law
  • Explore the concept of energy conservation in elastic systems
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Students studying physics, particularly those focusing on mechanics and spring dynamics, as well as educators looking for effective methods to teach spring constants and energy concepts.

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The question gives me a graph of spring 1 and spring 2 (which I will attach to the post) and it asks me what are the springs constants. I have no idea how to find the spring constants. I know that the Potential Elastic equation is (1/2)k(x^2), but I don't know where to start with looking at this graph! Please help!
It's question 1a.

Homework Statement

Homework Equations



E=1/2k(x^2)

The Attempt at a Solution

 
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Hooke's Law:

[tex]F = -kx[/tex]

Knowing that, can you find the constant?
 

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