A garden hose has a cross sectional area (the area of the face of the opening at the end of the hose) of 4.2 cm2. Water is flowing out of the end of the hose with a speed of 0.73 m/s. The water has a density of 982 kg/m3.
1. What volume of water flows out the end of the hose in a time of 1.0 min?
a. 0.018 m3 b. 0.025 m3 c. 0.064 m3 d. 0.072 m3 e. 0.099 m3
2. What is the mass of the volume of water in problem 1?
a. 7.3 kg b. 9.3 kg c. 11 kg d. 14 kg e. 18 kg
3. What is the corresponding mass flow rate of water out of the end of the hose?
a. 0.15 kg/s b. 0.30 kg/s c. 0.41 kg/s d. 0.69 kg/s e. 0.85 kg/s
4. With what speed would the water flow out of the hose if you placed your thumb over the opening so that the area the water had to flow through was decreased to 0.37 cm2?
a. 1.4 m/s b. 3.3 m/s c. 5.9 m/s d. 7.1 m/s e. 8.3 m/s
Water flows through a pipe which has a constant cross sectional area of 22 cm2 . The entire pipe is filled with water (there are no air pockets).
5. Where is the speed of water flow the greatest?
a. Where the pipe is horizontal, since it has to push the water to the upper parts.
b. Where the pipe is highest above the ground, since it has to have moved very quickly to get up that high.
c. Where the pipe is at its lowest position, since the water has gained speed as it went downhill.
d. Where the pipe has its steepest angle of decline, since it has its greatest acceleration there.
e. The speed is the same everywhere in the pipe since water is assumed incompressible.
6. Where is the pressure in the pipe the least?
a. At the points where the pipe is horizontal.
b. At the highest point of the pipe.
c. At the lowest point of the pipe.
d. At the point having the steepest decline.
e. The pressure is the same at all points in the pipe.
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