At a given point of time the value of displacement of a simple harmonic oscillator is given as y=A cos (30^°). If amplitude is 40 cm and kinetic…

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