Physics Question from JEE Main 2023 · 13 April, Shift 1

At a given point of time the value of displacement of a simple harmonic oscillator is given as $y = A \cos (30^\circ)$. If amplitude is $40 \, \text{cm}$ and kinetic energy at that time is $200 \, \text{J}$, the value of force constant is $1.0 \times 10^x \, \text{N} \text{m}^{-1}$. The value of $x$ is _____