Question

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

Answer 1

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

Answer 2

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 $k=\frac{p}{2x^{2} }$.