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...................?

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 α 1/L

x α 1/(2L/3)

Dividing

k/x = 2/3

=> x = 3/2k

=> x = 1.5 k

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