Confused about Spring PE Formula: Hooke's Law vs. 1/2 kx^2

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SUMMARY

The discussion clarifies the distinction between Hooke's Law and the spring potential energy (PE) formula. Hooke's Law is expressed as F = -kx, where F represents force, while the spring potential energy formula is E = 1/2 kx^2, indicating the energy stored in a spring. The choice between these formulas depends on whether one is calculating force or energy, similar to selecting between F = ma and KE = 1/2 mv^2 in mechanics.

PREREQUISITES
  • Understanding of Hooke's Law (F = -kx)
  • Familiarity with potential energy concepts (E = 1/2 kx^2)
  • Basic knowledge of mechanics (Newton's laws)
  • Ability to differentiate between force and energy calculations
NEXT STEPS
  • Study the derivation of Hooke's Law and its applications in real-world scenarios.
  • Explore the implications of potential energy in mechanical systems.
  • Learn about energy conservation principles in spring systems.
  • Investigate the relationship between force and energy in other physical contexts.
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Students studying physics, educators teaching mechanics, and anyone seeking to understand the principles of spring dynamics and energy calculations.

Prone17
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when attempting questions with springs involved, i get confused with the spring PE formula.
i know its a simple formula but i don't get the correct answers

i know hooke's law is E = -kx
but in class i was given the formula E = 1/2 kx^2

is there a different time to use each of these equations, or is one incorrect, or...?

thanks for your help
 
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Hooke's Law is F = -kx where F stands for force
 
Welcome to PF!

Hi Prone17! Welcome to PF! :smile:

Yes, one is force and the other is energy.

You choose between them in the same way that you choose whether to use F = ma or KE = 1/2 mv2. :wink:
 

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