Question

An ideal spring has a spring constant k = 26.2 N/m. What is the amount of work that must be done to stretch the spring 0.520 m from its relaxed length?

Answer 1

Given data:

* The spring constant of the spring is k = 26.2 N/m.

* The change in the length of the spring is x = 0.520 m.

Solution:

The work done to stretch the spring is,

`W=(1)/(2)kx^2`

Substituting the known values,

`\begin{gathered} W=(1)/(2)*26.2*(0.520)^2 \\ W=3.54\text{ J} \end{gathered}`

Thus, the amount of work done is 3.54 J.