Question

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?
$k = 2px^2$
$k = \frac{1}{2}px^2$
$k = \frac{2p}{x^2}$
$k = \frac{p}{2x^2}$

Explanation:

Step1: Multiply both sides by 2

$$2P = kx^2$$

Step2: Divide by $x^2$

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

Answer:

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