An energy harvester is being designed for a vehicle with a simplified suspension system similar to that in the benchmark examples. The harvester, which is to be mounted on the vehicle, is to harvest energy as the vehicle vibrates while traveling. The harvester will have a mass of \(0.1 \mathrm{~kg}\), damping ratio of 0.1 , and natural frequency of \(30 \mathrm{rad} / \mathrm{s}\). Estimate how much power is harvested over one cycle of a sinusoidal road with a spatial period of \(10 \mathrm{~m}\) and amplitude of \(5 \mathrm{~mm}\) while the vehicle is traveling at \(50 \mathrm{~m} / \mathrm{s}\).