A water pump sitting on the top of a hill pumps water up fro…

A water pump sitting on the top of a hill pumps water up from a nearby lake through a hose, which hangs down into the water. At the water pump, the absolute pressure of the water is equal to 35 kPa, the flow rate is 0.005 m3/s, and the diameter of the hose is 3 cm. At the lake, a vertical distance of 3 m downwards, the hose widens to a diameter of 5 cm. What is the absolute pressure of the water in the hose at this location in the lake?

In a daring stunt, Giles, with a mass of 75 kg jumps from a…

In a daring stunt, Giles, with a mass of 75 kg jumps from a stationary position onto Eremon’s unicycle as he passes at a starting speed of 10 m/s. If Eremon and his unicycle have a combined mass of 90 kg, what is the the speed of Giles, Eremon, and the unicycle immediately after Giles hops on?