An internal combustion engine has a rotating unbalance of \(1.0 \mathrm{~kg}-\mathrm{m}\) and operates between \(800 \mathrm{rpm}\) and \(2000 \mathrm{rpm}\). When attached directly to the floor, it transmitted a force of \(7018 \mathrm{~N}\) at \(800 \mathrm{rpm}\) and 43,865 \(\mathrm{N}\) at \(2000 \mathrm{rpm}\). Find the stiffness of the isolator that is necessary to reduce the force transmitted to the floor to \(6000 \mathrm{~N}\) over the operating-speed range of the engine. Assume that the damping ratio of the isolator is 0.08, and the mass of the engine is \(200 \mathrm{~kg}\).