To stretch the spring by 2 cm, a force of 40 N is required. What kind of work A is performed when this spring

To stretch the spring by 2 cm, a force of 40 N is required. What kind of work A is performed when this spring is compressed by 5 cm.

Formula for determining work:

A = k * x, where

k – spring stiffness, N / m;

x – length of compression or extension, m.

Spring rate:

k = F / x, where F is the applied force, N.

To solve, you need to know that 1 m = 100 cm.

Decision:

k = 40 N / 0.01 m = 2000 N.

A = 2000 N * 0.05 = 100 J.

Answer: when compressed by 5 cm, work A = 100 J.