Understanding Hooke's Law: Confusion with F=ks and F=-ks Explained

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    Hooke's law Law
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SUMMARY

Hooke's Law is defined as F = -ks, indicating that the spring force is proportional and opposite to the displacement from the equilibrium position. The confusion arises when textbooks present problems using F = ks, which can lead to misinterpretation of the force's direction. The negative sign in F = -ks is crucial for determining the direction of the force, while F = ks can be used in contexts where the force is defined as positive in the direction of displacement. Understanding the application of these formulas is essential for correctly solving Hooke's Law problems.

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  • Understanding of Hooke's Law and its mathematical representation
  • Familiarity with concepts of force and displacement in physics
  • Knowledge of equilibrium positions in mechanical systems
  • Ability to interpret problem statements in physics textbooks
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  • Study the applications of Hooke's Law in real-world scenarios
  • Learn about the implications of the negative sign in force equations
  • Explore examples of Hooke's Law problems from "Physics for Scientists and Engineers" by Randall D. Knight
  • Investigate the differences between scalar and vector quantities in physics
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Students of physics, educators teaching mechanics, and anyone looking to clarify their understanding of Hooke's Law and its applications in problem-solving.

david98999
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I am new here and I hope I posted this in the right place.

I understand that Hooke's Law is F=-ks
which states that the spring force is directly proportional but opposite to the difference of the distance from the stretched length of the string and the equilibrium length of the string.

I just have this confusion with my textbook in which there are Hooke's law problems which have been solved using f=ks where the sign of k is not negative and the force sign is also positive.

My question is : with what problems relating to hooke's law would I use F=ks instead of F= -ks?

I hope that I have followed the correct rules with posting this query.

I would appreciate any respone . Thank you.
 
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my textbook is physics for scientists and engineers Pearson Randall D Knight 3rd edition
 
I don't have that textbook, but you can get the sign wrong if you define force and distance in opposite directions. Something you should not do because it leads to confusion.
 
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david98999 said:
My question is : with what problems relating to hooke's law would I use F=ks instead of F= -ks?
The purpose of the minus sign is to tell you the direction of the spring force. Use it to figure out the direction, but don't blindly apply the minus sign.
 
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thank you for your help doc al and mfb .I really appreciate it
 

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