The pipe carrying feedwater to a boiler in a thermal power plant has been found to vibrate violently at a pump speed of \(800 \mathrm{rpm}\). In order to reduce the vibrations, an absorber consisting of a spring of stiffness \(k_{2}\) and a trial mass \(m_{2}^{\prime}\) of \(1 \mathrm{~kg}\) is attached to the pipe. This arrangement is found to give the natural frequencies of the system as \(750 \mathrm{rpm}\) and \(1000 \mathrm{rpm}\). It is desired to keep the natural frequencies of the system outside the operating speed range of the pump, which is \(700 \mathrm{rpm}\) to \(1040 \mathrm{rpm}\). Determine the values of \(k_{2}\) and \(m_{2}\) that satisfy this requirement.