What is the Elastic Potential Energy Stored in a Compressed Spring?

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SUMMARY

The elastic potential energy (Ep) stored in a compressed spring can be calculated using the formula Ep = 1/2 k x². In this discussion, a force of 5.00 N compresses a spring by 5.00 cm, leading to a spring constant (k) of 100 N/m. The final calculation reveals that the elastic potential energy stored in the spring is 0.125 J. This demonstrates the direct application of Hooke's Law in determining spring energy storage.

PREREQUISITES
  • Understanding of Hooke's Law
  • Familiarity with the formula for elastic potential energy
  • Basic knowledge of force and displacement measurements
  • Ability to perform unit conversions (e.g., cm to m)
NEXT STEPS
  • Study the derivation of the elastic potential energy formula Ep = 1/2 k x²
  • Explore applications of Hooke's Law in real-world scenarios
  • Learn about different types of springs and their characteristics
  • Investigate energy conservation principles in mechanical systems
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators teaching concepts related to energy and forces in springs.

kelly242
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Homework Statement



A force of 5.00 N compresses a spring 5.00 cm. What is the elastic potential energy stored in the compressed spring?

Homework Equations



Ep=1/2kx2

The Attempt at a Solution



Epelastic needs to calculated. I really do not know how to get there. K=f/x
k=5N/ 0.05m
100 N/m
the answer is actually 0.125 J
 
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So now you know k, and all that is left is...
 

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