Cork pads with a stiffness of \(6 \times 10^{5} \mathrm{~N} / \mathrm{m}\) and a damping ratio of 0.2 are used to isolate a \(40-\mathrm{kg}\) machine tool from its foundation. The machine tool operates at \(1400 \mathrm{rpm}\) and produces a harmonic force of magnitude \(80,000 \mathrm{~N}\). If the pads are placed in series, how many are required such that the magnitude of the transmitted force is less than \(10,000 \mathrm{~N}\) ?