(10 points)
Estimate the power output of a dam with a head h=100m and volume flow rate Q 10m$^3$s$^{-1}$. (Assume
efficiency is unity, \(\rho=10^3 kg\ m^{-3}\), \(g=9.81 ms^{-2}\)) Repeat this again with \(\beta_1 = 20^\circ\), \(q_0 = 6\ m\ s^{-1}\), \(q_1 = 32\ m\ s^{-1}\), and h=100m.