How Do Compression Distances Affect Spring Work Calculations?

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SUMMARY

The discussion centers on the calculation of work done on a spring, specifically addressing the limits of integration in the context of compression distances. The relevant equations include Work = Force * Distance and F = kx, where 'k' represents the spring constant and 'x' denotes the compression distance. Participants confirm that the limits of integration should indeed be set from 5 to 9, reflecting the compression distance rather than the spring's total length. This clarification is crucial for accurate work calculations in spring mechanics.

PREREQUISITES
  • Understanding of Hooke's Law (F = kx)
  • Basic knowledge of calculus, specifically integration
  • Familiarity with the concept of work in physics
  • Ability to interpret physics problems involving springs
NEXT STEPS
  • Review the principles of Hooke's Law and its applications in spring mechanics
  • Study integration techniques relevant to physics problems
  • Explore examples of work calculations involving variable forces
  • Investigate the impact of compression distance on spring work calculations
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Students studying physics, particularly those focusing on mechanics, as well as educators and tutors looking to clarify concepts related to work and spring dynamics.

ecoo
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Homework Statement



I reference the problem posted here: https://www.physicsforums.com/threads/work-and-spring-problem.194531/

Homework Equations



Work = Force * Distance

F = kx

The Attempt at a Solution



Wouldn't the limits of integration in part 2 be from 5 to 9, since x is the compression distance, not the length of the spring?

Thanks!
 
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ecoo said:

Homework Statement



I reference the problem posted here: https://www.physicsforums.com/threads/work-and-spring-problem.194531/

Homework Equations



Work = Force * Distance

F = kx

The Attempt at a Solution



Wouldn't the limits of integration in part 2 be from 5 to 9, since x is the compression distance, not the length of the spring?

Thanks!
Yes, I agree with you.
 
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