<p>A particle of mass 1 kg is hanging from a spring of force constant 100 <span class="equation">\(Nm^{-1}\)</span>. The mass is pulled slightly downward and released so that it executes free simple harmonic motion with time period T. The time when the kinetic energy and potential energy of the system will become equal, is&nbsp;<span class="equation">\(\frac{T}{x}\)</span>​​​​​​​. The value of x is _____________.</p>