A well is being drilled at a depth of 5,000 ft using mud having a density of 10 lbm/gal, a flow behavior index of 0.8, and a consistency index of 70 eq-ep. The drillpipe has an external diameter of 4.5 in and internal diameter of 3.826 in. The mud is being circulated at a rate of 400 gal/min with an observed pump discharge pressure of 2200 psig. The total nozzle area of the bit is 0.43 sq in. Assume a relative roughness of zero (smooth pipe) and a bit discharge coefficient of 1. a) Compute the power developed by the pump. b) Calculate the pressure drop at the bit. c) Compute the power loss to viscous effects (friction losses). What happens to this energy? d) Compute the impact force of the jets of fluid against the bottom of the hole. e) Determine the flow pattern in the drillpipe. f) Determine the total frictional pressure loss in the drillpipe. g) Determine the total frictional pressure loss in the annulus.