Section 8.7 Spring Potential Energy
Subsubsection Key Ideas
Definition 8.7.2. 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.
Subsubsection Activities
Explanation 8.7.1. Spring Compression.
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.
Calculation 8.7.2. Mattress Springs.
Many mattresses can be approximated as ideal springs. Estimate the potential energy stored in a mattress with \(k = 24,000 \mathrm{~N/m}\) when one person lies down on the mattress and compresses it by \(2 \mathrm{~cm}\text{.}\)
