A force of 18 N stretches the spring by 2 cm. Find the stiffness of this spring.

The force applied to the spring will be equal to the elastic force, from the formula of which we will calculate the stiffness of this spring:

F = F = k * ∆l, where F is the force applied to the spring (F = 18 N), k is the required spring stiffness (N / m); ∆l – spring tension (∆l = 2 cm = 0.02 m).

k = F / ∆l.

Let’s perform the calculation:

k = 18 / 0.02 = 900 N / m.

Answer: The stiffness of the given spring is 900 N / m.