You have a jar that has the following dimensions 4.75 miles for a diameter with a height of 1.25 miles. The jar had a thickness of 0.75 inches and has a density of 2.72 g/cm^3. If water has a density of 1.075 g/cm^3 answer the following questions. Make sure to submit all work.

How far will the jar sink?

How much honey that has a density of 3.45 times that of water will it take for all but 0.00000075% of the jar to be below the surface of the water?

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)?