A mining engineer plans to do hydraulic mining with a high-speed jet of water. A lake is located H = 300 m above the mine site. Water will be delivered through L = 900 m of fire hose; the hose has inside diameter D = 75 mm and relative roughness e/D = 0.01. Couplings, with equivalent length Le = 20 D, are located every 10 m along the hose. The nozzle outlet diameter is d = 25 mm. Its minor loss coefficient is K = 0.02 based on outlet velocity. Estimate the maximum outlet velocity that this system could deliver. Determine the maximum force exerted on a rock face by this water jet.