With what force do you need to pull on the end of the wire, the other end of which is fixed

With what force do you need to pull on the end of the wire, the other end of which is fixed, in order to lengthen it by 5 mm? Spring rate 10 ^ 6 N / m.

To find the force with which it is required to pull the end of the taken wire, we will use Hooke’s law: F = Fcont = k * Δx.

The values of the variables: k is the stiffness of the wire taken (k = 10 ^ 6 N / m); Δx – required elongation (Δx = 5 mm = 5 * 10 ^ -3 m).

Let’s make a calculation: F = k * Δx = 10 ^ 6 * 5 * 10 ^ -3 = 5 * 10 ^ 3 H = 5 kN.

Answer: A force of 5 kN must be applied to the taken wire.