At a ski resort, water at \(40{ }^{\circ} \mathrm{F}\) is pumped through a 3-in.diameter, 2000-ft-long steel pipe from a pond at an elevation of \(4286 \mathrm{ft}\) to a snow-making machine at an elevation of \(4623 \mathrm{ft}\) at a rate of \(0.26 \mathrm{ft}^{3} / \mathrm{s}\). If it is necessary to maintain a pressure of \(180 \mathrm{psi}\) at the snow-making machine, determine the horsepower added to the water by the pump. Neglect minor losses.