 # Does the force constant of a spring changes if it is cut into parts?

9 years ago

we know F=-Kx

so force is proportional to length but k(spring constant) depends upon nature of spring

since the spring remains the same k will remain same for both the parts.

9 years ago

the force constant of a spring of does not change.Because,it has a "inherent property" along with it.Due this the force constant doesn''t change.

9 years ago

Dear Anubhab,

force constant of a spring do change when you cut it into parts. Spring constant of a spring (k) depends upon three factors

- length of spring

- material of spring

it is inversely proportional to the length of spring so if you cut the spring into parts the spring constant will increase.

Hope this helps

9 years ago

i am sorry.the ans is that yes it DOES CHANGES.

take an example.

when two springs of spring constant k are connected end to end then resultant

spring constant is k/2.

HENCE,it can be thought as one single spring with spring constant k/2.

and when it is cut to two parts the individual spring constant is k.

the same way when a spring of spring constant k is cut into n parts,the new spring constants are nk of the individual springs.

and when the same force is applied to the springs.then x=F/nk(less than original extensin=F/k by a factor of 1/n).

this explains that smaller springs extend less than the original springs,when applied by the same force.

HOPE I HELPED YOU.

9 years ago

when spring is cut into two parts, then the force constant (k previusly) becomes 2k for each half

approve this anwer, if it helps 