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he 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?

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Below are the choices that can be found elsewhere:

k = 2Px2
k = Px2
k = 2p/x^2
k = x/2x^2

The equation should she use is k = 2p/x^2

Answer:

[tex]k=\frac{P}{x^2}[/tex]

Step-by-step explanation:

Given formula of potential energy,

[tex]P=kx^2[/tex]

For finding the formula for k,

We need to isolate k,

Divide both sides of the equation by [tex]x^2[/tex]

We get,

[tex]\frac{P}{x^2}=\frac{kx^2}{x^2}[/tex]

[tex]\frac{P}{x^2}=k[/tex]

Hence, the required formula would be,

[tex]k=\frac{P}{x^2}[/tex]