Question

A spring is kept in the vertical position with length 30 cm. If undeformed length of the spring is 40 cm & stiffness of the spring is 10 N/cm, find the force in the spring.
3 points

Answer 1

Given :

Length of the spring when it is kept in vertical position = 30 cm

Undeformed or natural  length of this spring = 40 cm

Stiffness or K of the spring = 10 N/cm

To Find :

What is the value of force in the spring ?

Solution :

We Know that in case of springs according to Hook's Law :

F = KΔx

Here , F is the force acting on the spring cause a deformation of Δx in the length of the spring .

So in this case since the natural length is 40 cm and length after deformation is 30 cm , so thee is compression in the spring .

So ,  Δx = 40 - 30

             = 10 cm

So , the force acting on this spring will be :

$F = K \times 10$ N

   = $10 \times 10$ N

   =100 N

Hence , 100 N force is acting on the spring .