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}} )
Answer
Explanation:
Step1: Multiply both sides by 2
$$2P = kx^{2}$$
Step2: Divide both sides by (x^{2})
$$k=\frac{2P}{x^{2}}$$
Answer:
(k=\frac{2P}{x^{2}}) (the third option)