The potential energy of a spring with a constant of $k$, a maximum amplitude of $A$, and an angular velocity of $\omega$ is given by $P=\frac{1}{2} k A^{2} \cos^{2} \omega t$
(joules) where $t$ is in seconds. Find the rate of change in the potential energy of a mass on a spring with a constant of $1.2 \mathrm{~N} / \mathrm{m}$, a maximum amplitude of $0.53 \mathrm{~m}$, and an angular velocity of $0.031 \mathrm{rad} / \mathrm{s}$, when $t=5.8 \mathrm{~s}$.

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The Answer of The potential energy of a spring with a constant of $k$, a maximum amplitude of $A$, and an angular velocity of $\omega$ is given by $P=\frac{1}{2} k A^{2} \cos^{2} \omega t$
(joules) where $t$ is in seconds. Find the rate of change in the potential energy of a mass on a spring with a constant of $1.2 \mathrm{~N} / \mathrm{m}$, a maximum amplitude of $0.53 \mathrm{~m}$, and an angular velocity of $0.031 \mathrm{rad} / \mathrm{s}$, when $t=5.8 \mathrm{~s}$.

The Potential Energy of a Spring with a Constant Of k