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

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 the given formula

$P = \frac{1}{2}kx^{2}$

Step2: Isolate $k$

Multiply both sides by 2 to get $2P=kx^{2}$. Then divide both sides by $x^{2}$: $k=\frac{2P}{x^{2}}$

Answer:

C. $k = \frac{2P}{x^{2}}$