For the fluid power system shown in figure, determine the external load F that the hydraulic cylinder can sustain while moving in the extending direction. Take frictional pressure losses into account. The pump produces a pressure increase of 1000 psi from the inlet port to the discharge port and a flow rate of 40 gpm. The following data are applicable: kinematic viscosity of oil = 0.001 ft^2/s, weight density of oil = 50 lb/ft^3, cylinder piston diameter = 8 in, cylinder rod diameter = 4 in. All elbows are 90 degrees with K factor = 0.75. Pipe lengths and inside diameters are given in the figure. Determine also the heat-generation rate due to frictional pressure losses.