Homework Help

ans the following question please;  If a uniform spring is cut in half, what is the...

user profile pic

ayaanali | Student, Undergraduate | (Level 1) eNoter

Posted November 21, 2010 at 3:12 PM via web

dislike 0 like

ans the following question please;


If a uniform spring is cut in half, what is the force constant of each half? Justify your answer. How would the frequency of SHM using a half-spring differ from the frequency using the same mass and the entire energy?

1 Answer | Add Yours

user profile pic

nessus | High School Teacher | (Level 2) Adjunct Educator

Posted July 10, 2011 at 8:45 PM (Answer #1)

dislike 0 like

Hooke's Law is F = kx, where F = extension force, x = extension distance, k = spring constant (what you have called force constant)

Rearranging for k:

k = F/x.

The force required to stretch half a spring to the same length as the original is clearly twice (because the half spring is harder to stretch) so in the above equation k is doubled.

Frequency of SHM is twice that of the original spring because SHM frequency is proportional to k.


Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes