2. A small business complex is located 2km down the transmission line, which has series impedance of 0+j0.5 Ω/km. The load voltage of the complex is 480 V rms and the complex consumes 120kW at 0.85 power factor lagging. Determine the voltage and power factor of the source

Asolid cylinder is concentric with a straight pipe. the cylinder is 0.5 m long and has an outside diameter of 8 cm. the pipe has an inside diameter of 8.5 cm. the annulus between the cylinder ad the pipe contains stationary oil. the oil has a specific gravity of 0.92 and a kinematic viscosity of 5.57 x 10-4 m2/s. most nearly, what is the force needed to move the cylinder along the pipe at a constant velocity of 1 m/s?