There is another formula of force which is mentioned in our textbook

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SUMMARY

The formula for force discussed in the forum is F=(L-x)/L*mg, where F represents the force, L is the original length, x is the extension or compression, m is mass, and g is the acceleration due to gravity. This formula is derived from the principles of mechanics, specifically Hooke's Law, which relates to elastic potential energy in materials. The context of this formula typically involves scenarios where a spring or elastic material is subjected to a force, illustrating the relationship between displacement and force applied.

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There is another formula of force which is mentioned in our textbook which is
F=(L-x)/L*mg
Can anyone please explain me how can one derive this formula and also its terminologies?
 
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What does this force represent, as in what is the situation given?
 

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