What work is done when the spring is compressed 5 cm if a force of 1000 N is required to compress 1 cm?

These tasks: Δx2 (required compression of the taken spring) = 5 cm (in SI Δx2 = 0.05 m); Δx1 (initial compression of the spring) = 1 cm (in SI Δx1 = 0.01 m); F1 (force required for initial compression) = 1000 N.

1) Determine the cruelty of the taken spring: k = F1 / Δx1 = 1000 / 0.01 = 1 * 10 ^ 5 N / m.

2) We calculate the work for the required compression of the taken spring: A = k * Δx2 ^ 2/2 = 1 * 10 ^ 5 * 0.05 ^ 2/2 = 125 J.

Answer: To obtain the required spring compression, it is necessary to perform work of 125 J.