Hydraulic systems utilize pascal's principle by transmitting pressure from one cylinder (called the primary) to another (called the secondary). since the pressures will be equal, if the surface areas are different then the forces applied to the cylinders' pistons will be different. suppose in a hydraulic lift, the piston of the primary cylinder has a 2.25-cm diameter and the piston of the secondary cylinder has a 24.5-cm diameter. what force, in newtons. must be exerted on the primary cylinder of this lift to support the weight of a 2200-kg car (a large car) resting on the secondary cylinder?

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)?