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Math·Advanced Math·Nonlinear equations in one variable and systems of equations in two variables

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An object with a mass of 5.9 kilograms is hanging from a spring. The spring is stretched and then released. The given equation expresses the period T, in seconds, of the resulting oscillation in terms of the spring constant k, in newtons per meter.

$$T=2\pi \sqrt{\frac{5.9}{k}}$$

Which equation correctly expresses the spring constant, in newtons per meter, in terms of the period, in seconds, of the oscillation?

A

$k=11.8\pi /T^2$

B

$k=T^2/(23.6{\pi }^2)$

C

$k=T^2/(11.8\pi )$

D

$k=23.6{\pi }^2/T^2$