the potential energy, $p$, in a spring is represented using the formula $p = \\frac{1}{2}kx^{2}$. lupe uses…

the potential energy, $p$, in a spring is represented using the formula $p = \\frac{1}{2}kx^{2}$. lupe uses an equivalent equation, which is solved for $k$, to determine the answers to her homework. which equation should she use? $k = 2px^{2}$ $k = \\frac{1}{2}px^{2}$ $k = \\frac{2p}{x^{2}}$ $k = \\frac{p}{2x^{2}}$

the potential energy, $p$, in a spring is represented using the formula $p = \\frac{1}{2}kx^{2}$. lupe uses an equivalent equation, which is solved for $k$, to determine the answers to her homework. which equation should she use? $k = 2px^{2}$ $k = \\frac{1}{2}px^{2}$ $k = \\frac{2p}{x^{2}}$ $k = \\frac{p}{2x^{2}}$

Answer

Explanation:

Step1: Start with $P = \frac{1}{2}kx^{2}$.

Multiply both sides by 2: $2P=kx^{2}$.

Step2: Solve for $k$.

Divide both sides by $x^{2}$: $k=\frac{2P}{x^{2}}$.

Answer:

$k = \frac{2P}{x^{2}}$ (the third - option in the multiple - choice list)