The equation of continuity applied to an incompressible ideal fluid flowing through a pipe of varying diameter is based on what of the following being conserved for the fluid in the pipe?
a. its kinetic energy b. its momentum
c. its flow rate d. its potential energy
[Ques. 2] A syringe has an inside radius of its barrel of 0.50 cm and at the opening at the end of the needle the radius is 1.0 mm. If a force F is applied to the plunger, what is the force produced at the opening of the needle?
a. 5F b. 25F
c. F/5 d. F/25
[Ques. 3] Water is being sprayed from a nozzle at the end of a garden hose of diameter 2.25 cm. If the nozzle has an opening of diameter 1.30 cm, and if the water leaves the nozzle at a speed of 14.0 m/s, what is the speed of the water inside the hose?
a. 4.67 m/s
b. 41.9 m/s
c. 2.38 m/s
d. 5.67 m/s
e. also 14.0 m/s
[Ques. 4] It takes 4.00 minutes to fill a gas tank with 50.0 liters of gasoline. If the pump nozzle is 1.35 cm in radius, what is the average speed of the gasoline as it leaves the nozzle? (1 000 liters = one cubic meter)
a. 3.64 m/s
b. 0.364 m/s
c. 21.8 m/s
d. 1.36 m/s
e. 12.5 m/s
[Ques. 5] A Venturi tube may be used as the inlet to an automobile carburetor. If the inlet pipe of 2.00 cm diameter narrows to 1.00 cm diameter, what is the pressure drop in the constricted section for airflow of 2.16 m/s in the 2.00-cm section? (Assume air density is 1.25 kg/m3.)
a. 11.7 Pa
b. 43.7 Pa
c. 45.7 Pa
d. 20.3 Pa
e. 87.5 Pa
[Ques. 6] Water pressurized to 3.00 105 Pa is flowing at 5.25 m/s in a pipe which contracts to 1/2 of its former area. What are the pressure and speed of the water after the contraction? (Density of water = 1 103 kg/m3.)
a. 2.59E+5 Pa, 10.5 m/s
b. 3.00E+5 Pa, 2.63 m/s
c. 3.00E+5 Pa, 10.5 m/s
d. 4.59E+5 Pa, 10.5 m/s
e. 2.59E+5 Pa, 2.63 m/s
[Ques. 7] Water comes down the spillway of a dam from an initial vertical height of 170 m. What is the highest possible speed of the water at the end of the spillway?
a. 5.89 m/s
b. 18.4 m/s
c. 57.7 m/s
d. 1 670 m/s
e. 3 330 m/s
[Ques. 8] A hole is poked through the metal side of a drum holding water. The hole is 16.0 cm below the water surface. What is the initial speed of outflow?
a. 1.77 m/s
b. 17.7 m/s
c. 0.566 m/s
d. 3.14 m/s
e. 1.25 m/s
[Ques. 9] Water (density = 1.00 103 kg/m3) flows at 7.2 m/s through a pipe with radius 0.025 m. The pipe goes up to the second floor of the building, 2.00 m higher, and the pressure remains unchanged. What is the radius of the pipe on the second floor?
a. 0.019 m
b. 0.036 m
c. 0.0013 m
d. 0.23 m
e. 0.022 m
[Ques. 10] Water (density = 1.00 103 kg/m3) flows at 15.0 m/s through a pipe with radius 0.0400 m. The pipe goes up to the second floor of the building, 2.50 m higher, and the pressure remains unchanged. What is the speed of the water flow in the pipe on the second floor?
a. 13.3 m/s
b. 16.6 m/s
c. 176 m/s
d. 14.2 m/s
e. 6.63 m/s
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