Kg is moving at a speed of 40 km/h on an incline of 1 in 50. The total constant rolling and wind resistance is 600 N. The efficiency of the drive from the engine trough the gearbox to the wheels is 80 % and the gear ratio causes a final engine to wheel velocity ratio of 4:1. The effective wheel diameter is 500 mm. Calculate the engine power to maintain this speed.

An external consultant recommends that a plant installs a bank of capacitors for power factor correction. this will reduce the peak electrical demand charges by an average of 93 kw every month. the plant current pays $13 per kw in peak demand charges. the capacitor bank will include 223 kw of fixed capacitors, and 183 of variable capacitors. the fixed capacitors cost $59 per kw, and the variable capacitors will cost $65 per kw. the consultant charges 21% of the equipment costs to install the capacitors. because this project will reduce the demand for the electric utility, they are prepared to provide a one-time rebate of $42 per kw of reduced demand. what is the simple payback period for this project (in years)?