In rural housing, the source of water is obtained through groundwater pumped up. Assume that the groundwater source is 60 m deep from the surface. Water will be lifted as far as 5 m above ground level by pump. The inlet diameter of the pipe is 10 cm and the outlet is 15 cm. Ignoring the interaction of heat with the environment and heat due to friction, determine the input work (Watts) required by the pump so that the water flows steadily at a rate of 15 liters/s. (The density of water is 1000 kg/m^3).

A bathroom extractor fan being sold on Amazon has a duct diameter of 10.0 cm. It extracts air from a bathroom at a rate of 70.0 m3/h and the power supplied to the fan is 7.0 W. With what efficiency does the extractor convert electrical power into the kinetic power associated with the air-motion? Take the density of air to be 1.2 kg/m3 and assume laminar air flow.

1 kg of a fluid expands reversibly according to a linear law from 4.5 bar to 1.6 bar; the initial and final volumes are 0.004 m3and 0.02 m3. The fluid is then cooled reversibly at constant pressure, and finally compressed reversibly according to a law pV = constant back to the initial conditions of 4.5 bar and 0.004 m3. Determine the work done in each process and the net work of the cycle. Sketch the cycle on a p-v diagram.

Let's say we have an air parcel at sea level with a volume of 17 cm³ and a density of 5.9 kg m³. What would the total mechanical energy of the parcel be if it were deflected southward at 9 km hrl?