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 \( 1.0 \times 10^{x} \, \text{N m}^{-1} \). The value of \( x \) is ________.
