Hooke's law states that F=kx where F is the spring force. Based on my knowledge, force applied to a spring will change in respect to the elongation of the spring so the force applied is not constant. Then what does F stand for since force on spring is varying? The average force needed to pull the spring over the distance or the maximum force a person has to apply? Or does the understanding have a factual error. Thanks so much!

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter6: Energy Of A System
Section: Chapter Questions
Problem 29P
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Hooke's law states that F=kx where F is the spring force. Based on my knowledge, force applied to a spring will change in respect to the elongation of the spring so the force applied is not constant. Then what does F stand for since force on spring is varying? The average force needed to pull the spring over the distance or the maximum force a person has to apply? Or does the understanding have a factual error. Thanks so much!

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