Does the Force Constant of a Spring Remain the Same When Cut into Two Halves?

AI Thread Summary
When a spring with a force constant k is cut into two equal halves, the force constant of each half becomes 2k. This is because the spring constant is inversely related to the length of the spring; halving the length doubles the spring constant. Consequently, for the same applied force, the extension of each new spring will be different from the original spring. If two springs with equal spring constants are placed in series, their combined spring constant is reduced. Understanding these principles is crucial for solving related physics problems.
projjal
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Homework Statement


if a spring of force constant k is cut into two halves, will the force constant of each of the two new spring remain the same ,that is ,for same force will the extension be same for the new spring as the original spring


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The Attempt at a Solution

 
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Hello projjal welcome to PF! What do you think (and why)? How would 2 springs with equal spring constants behave if placed in series?
 
thanks i get it
 

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