Definition 4.9.1. Spring Potential Energy.
The potential energy for an ideal spring is
\begin{equation*}
U_{spring} = \frac{1}{2}kx^2
\end{equation*}
where \(x\) is the displacement of the spring from its equilibrium position.
Section 4.9 Spring Potential Energy
Exercises Activities
1. Explanation.
Is the following statement true or false: “If you compress or extend the same spring by the same distance, the potential energy stored in the spring is the same.” Explain your reasoning.
2. Calculation.
Many mattresses can be approximated as ideal springs. Estimate the potential energy stored in such a mattress when one person lies down on the mattress.
Hint.
Try searching “mattress spring constant” and estimating the distance a mattress might compress from everyday experience.
