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? $k = 2px^{2}$ $k=\frac{1}{2}px^{2}$ $k=\frac{2p}{x^{2}}$ $k=\frac{p}{2x^{2}}$
Answer
Answer:
C. $k = \frac{2P}{x^{2}}$
Explanation:
Step1: Comenzar con la fórmula dada
$P=\frac{1}{2}kx^{2}$
Step2: Despejar $k$
Multiplicar ambos lados por 2: $2P = kx^{2}$
Step3: Dividir ambos lados por $x^{2}$
$k=\frac{2P}{x^{2}}$