A Spring Of Force Constant k is cut into two pieces , such that one piece is doubled the lengthof - Physics - Laws Of Motion

Question

A Spring Of Force Constant k is cut into two pieces , such that
one piece is doubled the lengthof other Then the long piece will
have a constant of ?

Somnath physics · Accepted Answer

Let the length of the spring be L

Spring constant = k

The larger piece = 2L/3

Let the spring constant of the larger piece = x

We know spring constant k is inversely proportional to the length
of the spring, so

k Î± 1/L

x Î± 1/(2L/3)

Dividing

k/x = 2/3

=> x = 3/2k

=> x = 1 5 k

A Spring Of Force Constant k is cut into two pieces , such that one piece is doubled the lengthof other . Then the long piece will have a constant of...................?