Calculate the stiffness of the spring if it is known that when it is stretched by 20 cm

Calculate the stiffness of the spring if it is known that when it is stretched by 20 cm, the spring has acquired the dance energy of the elastically deformed body 20J.

These tasks: Δx (deformation of the considered spring) = 20 cm (in SI Δx = 0.2 m); Ep (potential energy acquired by the spring) = 20 J.

We express the required stiffness of the spring under consideration from the formula: En = k * Δx ^ 2/2, whence k = 2 * En / Δx ^ 2.

Let’s perform the calculation: k = 2 * 20 / 0.2 ^ 2 = 1000 N / m = 1 kN / m.

Answer: The considered one has a stiffness of 1 kN / m.