Explaining Hookes Law to a GCSE Physics Student

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Hooke's Law describes the relationship between the force exerted by a spring and its displacement from the equilibrium position, mathematically expressed as F = -kx. In this equation, F represents the restoring force, k is the spring constant, and x is the displacement. The law states that the extension of a spring is directly proportional to the applied force until the material reaches its elastic limit. The potential elastic energy stored in the spring can be calculated using the formula Ee = 1/2 * k * x^2. Understanding these concepts is crucial for grasping the principles of elasticity in physics.
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I am a GCSE Physics Student I was hoping somebody would be able to help me when I have been studying Hookes law, we have only looked at a basic equation extension = extented length - original length. We have also look at how the increase in mass is directly proportional to the extension until plastic deformation occurs. I was then looking through my revsion notes and the equation F=-KX came up. I looked this up and found that
athematically, Hooke's law states that

F=-kx,

where

x is the displacement of the spring's end from its equilibrium position (a distance, in SI units: meters);
F is the restoring force exerted by the spring on that end (in SI units: N or kg·m/s2); and
k is a constant called the rate or spring constant (in SI units: N/m or kg/s2).

this makes no sense to me
Could somebody please explain this to me
thanks
 
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Hey, I'm in gr 12 so I don't know how much help I am, but I can try. Think about a spring for one second:

A spring can be stretched or compressed. When a spring is stretched, or compressed, it has POTENTIAL ELASIC ENERGY. When the spring is at eqilbrium postion, that means it has not been stretched or compressed therefore it has no potential elastic energy. K is just a constant ( a given number) that the spring has. Finally, x is the distance the springs been stretched or compressed FROM EQILBRIUM POSTION.

If you have anymore questions just ask, I hope this helped.
 
cwilloughby21 said:
this makes no sense to me
Why doesn't that make sense?
 
Oh yeah, Ee (which is potential elastic energry) = 1/2*k*x^2 this is formula you may use.
 
Anythin we could add Doc?
 
thanks hellohi that was really helpful :smile:
 
Np man, I'm glad it helped:)!
 
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