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

[projjal]

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

Homework Equations

The Attempt at a Solution

 

[lewando]

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

 

[projjal]

thanks i get it