Stress-strain graph-finding elastic strain energy

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SUMMARY

The discussion revolves around calculating elastic strain energy using the stress-strain relationship in physics. The user initially solved part (a) of their homework correctly but questioned the accuracy of their solution for part (b), which was stated to be 45000 J. The user confirmed that their values for force and extension were correct, leading to speculation about a possible error in the textbook. The consensus among participants is that discrepancies in textbook answers are common.

PREREQUISITES
  • Understanding of stress and strain concepts
  • Familiarity with Young's modulus
  • Basic algebra for calculations
  • Knowledge of energy calculations in physics
NEXT STEPS
  • Review the derivation of elastic strain energy formulas
  • Study examples of stress-strain graphs in material science
  • Learn about common errors in physics textbooks
  • Explore advanced applications of Young's modulus in engineering
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and material properties, as well as educators looking to clarify common misconceptions in textbook problems.

Krashy
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Homework Statement


stress-strain.png


Homework Equations


[/B]
stress = force/area
strain = extension/original length
Young modulus= stress/strain

The Attempt at a Solution



stress strain task.png

[/B]
Hi i hope you can read my handwriting. I solved task a already but even though i think i solved b correctly, the solution says its wrong. It states that its 45000 J. It could be a mistake in the book because its just off by one zero, but I am not sure it could be a mistake in my calculation too. The force and the extension is apparently right according to the solution.
Thank you very much in advance.
 

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I agree with your answer. Such mistakes in books are not uncommon, unfortunately.
 
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All right, thanks good to know i didnt miscalculated
 

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