What work must be done to stretch a spring by 0.05m, if it is known that a force of 1N is needed to stretch it by 0.01m?

Initial data: Δl (required spring tension) = 0.05 m; Δl1 (spring tension) = 0.01; F (applied force to stretch the spring) = 1 N.

1) Determine the coefficient of stiffness of this spring: k = F / Δl1 = 1 / 0.01 = 100 N / m.

2) Calculate the work that needs to be done: A = 0.5 * k * Δl2 = 0.5 * 100 * 0.05 ^ 2 = 0.125 J.

Answer: To stretch the spring by 0.05 m, it is necessary to do a work of 0.125 J.