The length of the spring is 13 cm, a body 18 H is suspended from it. Find the stiffness of the spring

The length of the spring is 13 cm, a body 18 H is suspended from it. Find the stiffness of the spring if it has become equal to 18 cm.

Initial data: P (weight of the body, which is suspended from the spring) = 18 N; l1 (initial length of the spring) = 13 cm = 0.13 m; l2 (spring length under the action of body weight) = 18 cm = 0.18 m.

1) Determine the change in the length of the spring:

Δl = l2 – l1 = 0.18 – 0.13 = 0.05 m.

2) Determine the coefficient of spring stiffness (Hooke’s law):

P = Fcont. = k * Δl; k = P / Δl.

Let’s perform the calculation:

k = 18 / 0.05 = 360 N / m.

Answer: The coefficient of spring stiffness is 360 N / m.