A fountain sends water to a height of 100 meters. What must be the pressurization (above atmospheric) of the water system? 1 atm= 1.01 105 N/m2.
a. 1.0 atm
b. 4.2 atm
c. 7.2 atm
d. 9.7 atm
e. 8.2 atm
[Ques. 2] Water pressurized to 3.5 105 Pa is flowing at 5.0 m/s in a horizontal pipe which contracts to 1/3 its former area. What are the pressure and velocity of the water after the contraction?
a. 2.5 105 Pa, 15 m/s
b. 3.0 105 Pa, 10 m/s
c. 3.0 105 Pa, 15 m/s
d. 4.5 105 Pa, 1.5 m/s
e. 5.5 105 Pa, 1.5 m/s
[Ques. 3] Water is flowing at 4.0 m/s in a circular pipe. If the diameter of the pipe decreases to 1/2 its former value, what is the velocity of the water downstream?
a. 1.0 m/s
b. 2.0 m/s
c. 8.0 m/s
d. 16 m/s
e. 4.0 m/s
[Ques. 4] The water level in a reservoir is maintained at a constant level. What is the exit velocity in an outlet pipe 3.0 m below the water surface?
a. 2.4 m/s
b. 3.0 m/s
c. 5.4 m/s
d. 7.7 m/s
e. 49 m/s
[Ques. 5] A hole is punched in a full milk carton, 10 cm below the top. What is the initial velocity of outflow?
a. 1.4 m/s
b. 2.0 m/s
c. 2.8 m/s
d. 3.9 m/s
e. 4.2 m/s
[Ques. 6] A hydraulic lift raises a 2000-kg automobile when a 500-N force is applied to the smaller piston. If the smaller piston has an area of 10 cm2, what is the cross-sectional area of the larger piston?
a. 40 cm2
b. 80 cm2
c. 196 cm2
d. 392 cm2
e. 160 cm2
[Ques. 7] A supertanker filled with oil has a total mass of 6.1 108 kg. If the dimensions of the ship are those of a rectangular box 300 meters long, 80 meters wide, and 40 meters high, determine how far the bottom of the ship is below sea level. (sea = 1020 kg/m3.)
a. 10 m
b. 15 m
c. 20 m
d. 25 m
e. 30 m
[Ques. 8] Determine the minimum area of a flat ice floe 1.0 meter thick if it is to support a 2000-kg car above seawater. (ice = 920 kg/m3, sea = 1020 kg/m3.)
a. 20 m2
b. 40 m2
c. 60 m2
d. 80 m2
e. 100 m2
[Ques. 9] To the nearest percent, what fraction of an iceberg is submerged? (ice = 917 kg/m3, sea = 1.03 103 kg/m3.)
a. 95
b. 93
c. 91
d. 89
e. 77
[Ques. 10] A blimp is filled with 200 m3 of helium. How much mass can the balloon lift? The density of helium is one-seventh that of air, and the density of air is 1/800 that of water. Consider the mass of the balloon to be negligible.
a. 115 kg
b. 214 kg
c. 315 kg
d. 415 kg
e. 37 kg
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