the potential energy, p, in a spring is represented using the formula p = 1/2 kx². lupe uses an equivalent…

the potential energy, p, in a spring is represented using the formula p = 1/2 kx². lupe uses an equivalent equation, which is solved for k, to determine the answers to her homework. which equation should she use? o k = 2px² o k = 1/2 px² o k = 2p/x² o k = p/2x²

the potential energy, p, in a spring is represented using the formula p = 1/2 kx². lupe uses an equivalent equation, which is solved for k, to determine the answers to her homework. which equation should she use? o k = 2px² o k = 1/2 px² o k = 2p/x² o k = p/2x²

Answer

Explanation:

Step1: Isolate k in the formula

Given $P = \frac{1}{2}kx^{2}$, multiply both sides by 2 to get $2P=kx^{2}$.

Step2: Solve for k

Divide both sides of $2P = kx^{2}$ by $x^{2}$ to obtain $k=\frac{2P}{x^{2}}$.

Answer:

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