Question

A spring of force constant k is cut into two pieces such that one piece is double the length of the other . Then the long piece will have a force constant of

Answer 1

hi

Let the Length of the spring be L

Force constant of spring = K

Ratio in which spring is cut = 1 : 2

Length of larger piece = 2L / (2 + 1) = 2L/3

Force constant of larger piece = K’

Force constant ∝ 1 / Length of the spring

K / K’ = (2L / 3) / L

K / K’ = 2 / 3

K’ = 3K / 2

K’ = 1.5 K

Force constant of larger piece is

1.5 k

Hope it helps you