A spring of force constant 15 N/m is cut into two pieces. If the ratio of their lengths is 1 : 3, then the force constant of the smaller piece is ______ N/m. [2026]

Question

A spring of force constant 15 N/m is cut into two pieces. If the ratio of their lengths is 1 : 3, then the force constant of the smaller piece is ______ N/m. [2026]

Smart Achievers · Accepted Answer

(2)

$K ℓ = constant$

$K ℓ = K' (\frac{ℓ}{4})$

$K' = 4 K$

$K' = 60 N/m$

Solution

Q.
A spring of force constant 15 N/m is cut into two pieces. If the ratio of their lengths is 1 : 3, then the force constant of the smaller piece is ______ N/m. [2026]

1 20

2 60

3 45

4 15

Ans.
(2)

$K ℓ = constant$

$K ℓ = K' (\frac{ℓ}{4})$

$K' = 4 K$

$K' = 60 N/m$

Want Us to Email you About Special Offers & Updates?