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A spring is cut into two equal pieces. W...

A spring is cut into two equal pieces. What is the spring constant of each part if the spring constant of the original spring is k.

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Let us consider that the spring elongates by x when a force F is applied on it. So, the force constant of the spring `K=F/x`.
Now, if the spring is cut into two equal parts. Then on the application of the same force F, each part of the spring will elongated by `x/2`.
`therefore` The force constant of each part ,
`k.=F/(x/2)=(2F)/x=2k`
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