A mining engineer plans to do hydraulic mining with a highspeed jet of water. A lake is located \(H=300 \mathrm{~m}\) above the mine site. Water will be delivered through \(L=900 \mathrm{~m}\) of fire hose; the hose has inside diameter \(D=75 \mathrm{~mm}\) and relative roughness \(e / D=0.01\). Couplings are located every \(10 \mathrm{~m}\) along the hose. The nozzle outlet diameter is \(d=25 \mathrm{~mm}\). 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.