A flat-bottomed barge, \(80 \mathrm{ft}\) long and \(35 \mathrm{ft}\) wide, submerged to a depth of \(5 \mathrm{ft}\), is to be pushed up a river at \(60^{\circ} \mathrm{F}\). Estimate and plot the power required to overcome skin friction for speeds ranging up to \(15 \mathrm{mph}\).