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 Foece constant of
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Length of the spring = 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
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
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