The spring under the action of a force of 1500 Newtons lengthened by 3 centimeters. Determine the stiffness of the spring.

Formula for calculating spring stiffness:

Fcont. = k * ∆l, where Fcont. – the elastic force (the elastic force is numerically equal to the force under the action of which the spring was lengthened, F = Fel. = 1500 N), k is the required spring stiffness; ∆l is the amount of spring elongation (∆l = 3 cm = 0.03 m).

k = F / ∆l.

Let’s calculate:

k = 1500 / 0.03 = 50,000 N / m = 50 kN / m.

Answer: The spring rate is 50,000 N / m or 50 kN / m.