A \(0.5-\mathrm{kg}\) sphere is attached to a spring of stiffness \(6000 \mathrm{~N}\). The sphere is given an initial displacement of \(8 \mathrm{~mm}\) from its equilibrium position and released. If aerodynamic drag is the only source of friction, how many cycles will the system execute before the amplitude is reduced to \(1 \mathrm{~mm}\) ?