What work must be done to stretch the spring from the length x1 = 0.1m. up to x2 = 0.15m. ?

What work must be done to stretch the spring from the length x1 = 0.1m. up to x2 = 0.15m. ? Coefficient of spring stiffness K = 100N.m. Undeformed spring length x0 = 0.08

1. Let’s write down the formula for the work to be found:

A = F * x0.

F – strength
x0 is the length of the non-deformed spring (0.08 m).

2. Having a stiffness factor and a change in length, we can use the following formula:

F = k * Δx.

k – stiffness coefficient (100 N / m).
Δx is the difference in the lengths of the springs.

Δx = x2 – x1 = 0.15 – 0.1 = 0.05 m.

3. Now, you can find the power:

F = 100 * 0.05 = 5 H.

4. From this, we get all the data for determining the work, and substitute for the formula:

A = 5 * 0.08 = 0.4 J.

Answer: 0.4 J of the work that must be done to stretch the spring.