A long horizontal hose of diameter 5.6 cm is connected to a faucet. At the other end, there is a nozzle of diameter 1 cm. Water squirts from the nozzle at velocity 36 m/sec. Assume that the water has no viscosity or other form of energy dissipation.
1) What is the velocity of the water in the hose ?
2) What is the pressure differential between the water in the hose and water in the nozzle ?
3) How long will it take to fill a tub of volume 140 liters with the hose ?