The potential energy, P, in a spring is represented using the formula P = kx2. Lupe uses an equivalent equation, which is solved for k, to determine the answers to her homework.


Which equation should she use?


k = 2Px2

k = Px2

k = 2p/x2

k = p/2x2

Verified Answer :

k = 2p/x^2 You should use this equation.

Original equation is \(P=kx^{2}\)

So, \(kx^{2} =P\) and

\(k=\frac{P}{x^{2} }\)

If we compare this equation with the given options, we can easily find that this matches with the last one \(k=\frac{p}{2x^{2} }\) with P = p/2.

Hence, correct option is \(k=\frac{p}{2x^{2} }\).