Test Bank Docx Fluids Chapter.9

Physics, 9e (Giambattista)

Chapter 9 Fluids

1) Atmospheric pressure is 1.013 × 105 N/m2. The pressure of the atmosphere in pounds/in2 is

A) 9.800 lb/in2.

B) 10.90 lb/in2.

C) 12.30 lb/in2.

D) 14.70 lb/in2.

E) 16.30 lb/in2.

2) Atmospheric pressure is 1.013 × 105 N/m2. The pressure of the atmosphere in kPa is

A) 101.3 kPa.

B) 98.10 kPa.

C) 75.40 kPa.

D) 66.70 kPa.

E) 55.20 kPa.

3) Mercury has a density of 13,600 kg/m3. The height of a column of mercury that would produce a pressure of 1.013 × 105 N/m2 is

A) 32.1 in.

B) 29.9 in.

C) 25.4 in.

D) 19.8 in.

E) 9.80 in.

4) Water has a density of 1,000 kg/m3. The height of a column of water that would produce a pressure of 1.013 × 105 N/m2 is

A) 7.330 m.

B) 9.820 m.

C) 10.34 m.

D) 15.72 m.

E) 20.01 in.

5) The cork in a bottle is 2.00 cm in diameter. If the pressure inside the bottle is 3.00 atm, then the net force on the cork due to the pressure difference is

A) 37.5 N.

B) 45.5 N.

C) 48.9 N.

D) 55.3 N.

E) 63.6 N.

6) A submarine is at a depth of 500 m under the water. The force on a circular hatch of diameter 1.00 m due to the seawater (density = 1,025 kg/m3) pressure from outside the submarine is

A) 2.45 × 106 N.

B) 4.02 × 106 N.

C) 3.94 × 106 N.

D) 5.50 × 106 N.

E) 6.34 × 106 N.

7) What is the density of a mixture of 90% air (density air 1.20 kg/m3) and 10% helium (density of 0.180 kg/m3)?

A) 0.680 kg/m3

B) 0.750 kg/m3

C) 0.980 kg/m3

D) 1.098 kg/m3

E) 1.103 kg/m3

8) What is the density of a mixture of 85% air (density air 1.20 kg/m3) and 15% water vapor (density of water vapor 0.600 kg/m3)?

A) 1.70 kg/m3

B) 1.87 kg/m3

C) 1.05 kg/m3

D) 1.11 kg/m3

E) 1.19 kg/m3

9) A 100 kg mass has a density of 2,000 kg/m3. If the volume is decreased by 2% due to compression, then the density is

A) 3,011 kg/m3.

B) 2,940 kg/m3.

C) 2,522 kg/m3.

D) 2,440 kg/m3.

E) 2,041 kg/m3.

10) A force of 120.0 N is applied to 2.000 cm diameter piston, which is in contact with a closed container of water (density of water = 1,000 kg/m3). A second piston, with a diameter of 25.00 cm and at the same height as the first piston, is also in contact with the water. What force does the water pressure exert on the second piston?

A) 18,750 N.

B) 10,450 N.

C) 9,500 N.

D) 9,150 N.

E) 8,450 N.

11) The car lift in a gas station operates with an air pressure of 2,000 kPa. The piston of the car lift has a diameter of 30.0 cm. What is the mass of the largest car that the lift can raise?

A) 8,750 kg

B) 9,450 kg

C) 10,300 kg

D) 14,400 kg

E) 17,500 kg

12) The foot pedal on hydraulic brake system exerts a force of 45 lb on a piston with a diameter of 1.00 cm. The brake fluid in the brake system exerts the pressure from the foot pedal on a brake pad piston with a diameter of 2.50 cm. The force on the brake pad is

A) 133 lb.

B) 150 lb.

C) 281 lb.

D) 350 lb.

E) 402 lb.

13) A container has a large cylindrical lower part with a long thin cylindrical neck. The lower part of the container holds 12.5 m3 of water and the surface area of the bottom of the container is 5.00 m2. The height of the lower part of the container is 2.50 m and the neck contains a column of water 8.50 m high. The total volume of the column of water in the neck is 0.200 m3. What is the magnitude of the force exerted by the water on the bottom of the container?

A) 1.65 × 106 N

B) 1.05 × 106 N

C) 1.15 × 106 N

D) 1.35 × 106 N

14) A hydraulic lift has a small piston with a diameter 5.0 cm piston and the large piston with a diameter of 25 cm. What force must be applied to the small piston in order to lift a car on the large piston that weighs 13,000 N?

A) 520 N

B) 5,200 N

C) 260 N

D) 2,600 N

15) The water level in a water tower is 50.00 m above the ground. What is the gauge pressure of the water at a faucet that is 2.000 m above the ground?

A) 500,200 N/m2

B) 470,400 N/m2

C) 451,300 N/m2

D) 422,400 N/m2

E) 410,400 N/m2

16) The water level in a water tower is 50 m above the ground. What is the gauge pressure of the water at a faucet that is 20 m above the ground?

A) 1.8 atm

B) 1.9 atm

C) 2.1 atm

D) 2.5 atm

E) 2.9 atm

17) A submarine is located 1.000 km below the surface of the water. What is the absolute pressure of the seawater on the outside of the submarine? (density of seawater is 1,025 kg/m3)

A) 190.8 atm

B) 193.5 atm

C) 198.2 atm

D) 100.1 atm

E) 121.2 atm

18) The difference in blood pressure between the head and the foot of a person who is 2.00 m tall and standing up is (density of blood is 1,060 kg/m3)

A) 156 mmHg.

B) 142 mmHg.

C) 126 mmHg.

D) 102 mmHg.

E) 198 mmHg.

19) A submarine is located 2.000 km below the surface of the water. What is the absolute pressure of the seawater on the outside of the submarine? (density of seawater is 1,025 kg/m3)

A) 175.0 atm

B) 187.3 atm

C) 199.3 atm

D) 205.5 atm

E) 210.0 atm

20) The difference in blood pressure between the head and the foot of a person who is 2.00 m tall and resting on an incline that is at an angle of 30.0 degrees to the horizontal is (density of blood is 1,060 kg/m3)

A) 59.8 mmHg.

B) 62.8 mmHg.

C) 68.6 mmHg.

D) 70.2 mmHg.

E) 77.9 mmHg.

21) A mercury manometer measures a pressure of 200.0 mmHg. What is this pressure in Pa?

A) 19,770 Pa

B) 26,660 Pa

C) 30,230 Pa

D) 36,760 Pa

E) 39,600 Pa

22) A mercury manometer measures a pressure of 200 mmHg. What is this pressure in atm?

A) 0.204 atm

B) 0.263 atm

C) 0.301 atm

D) 0.325 atm

E) 0.375 atm

23) A mercury manometer measures a pressure of 150 mmHg. What is this pressure in kPa?

A) 12 kPa

B) 15 kPa

C) 20 kPa

D) 24 kPa

E) 29 kPa

24) A 10 kg ball weighs 98 N in air and weighs 75 N when submerged in water. The upward buoyant force on the ball is

A) 32 N.

B) 30 N.

C) 24 N.

D) 23 N.

E) 19 N.

25) A 10.0 kg ball weighs 98.0 N in air and weighs 65.0 N when submerged in water. The volume of the ball is

A) 0.00337 m3.

B) 0.00457 m3.

C) 0.00766 m3.

D) 0.00980 m3.

E) 0.00245 m3.

26) A ball with a diameter of 10.0 cm is submerged in water. The buoyant force of the water on the ball is

A) 4.25 N.

B) 4.75 N.

C) 5.13 N.

D) 5.75 N.

E) 6.00 N.

27) A ball with a diameter of 20.00 cm is placed in water with 75% of its volume above the surface of the water. The buoyant force of the water on the ball is

A) 16.67 N.

B) 14.75 N.

C) 13.60 N.

D) 12.56 N.

E) 10.26 N.

28) What is the buoyant force on a 1.200 kg solid steel ball submerged in water? (density of steel is 7,900 kg/m3)

A) 1.136 N

B) 1.245 N

C) 1.489 N

D) 1.566 N

E) 1.750 N

29) A 1.10 kg hollow steel ball is submerged in water. Its weight in water is 8.75 N. The volume of the cavity inside the ball is (density of steel is 7,900 kg/m3)

A) 1.59 × 10−5 m3.

B) 6.79 × 10−5 m3.

C) 1.13 × 10−4 m3.

D) 1.39 × 10−4 m3.

E) 2.07 × 10−4 m3.

30) A 1.50 kg hollow steel ball is submerged in water. Its weight in water is 10.75 N. The volume of the cavity inside the ball is (density of steel is 7,900 kg/m3)

A) 0.000139 m3.

B) 0.000213 m3.

C) 0.000348 m3.

D) 0.000401 m3.

E) 0.000476 m3.

31) A 2 kg ball is floating in water. The volume of water displaced by the ball is

A) 0.005 m3.

B) 0.004 m3.

C) 0.003 m3.

D) 0.002 m3.

E) 0.001 m3.

32) A 1.5 kg ball is floating in water. The volume of water displaced by the ball is

A) 0.0015 m3.

B) 0.0027 m3.

C) 0.0036 m3.

D) 0.0040 m3.

E) 0.0051 m3.

33) A 90.0 kg scuba diver with tanks and equipment is submerged and floating underwater in seawater (density 1.025 g/cm3). The volume of the seawater displaced by the scuba diver with tanks and equipment is

A) 0.0508 m3.

B) 0.0575 m3.

C) 0.0667 m3.

D) 0.0708 m3.

E) 0.0878 m3.

34) A 120 kg scuba diver with tanks and equipment is submerged and floating underwater in seawater (density 1.025 g/cm3). The volume of the seawater displaced by the scuba diver with tanks and equipment is

A) 0.097 m3.

B) 0.102 m3.

C) 0.117 m3.

D) 0.154 m3.

E) 0.177 m3.

35) Water is flowing through a pipe with a constriction. The area of the narrow section is one-half the area of the wide section. If the velocity of the incompressible fluid is 3.2 m/s in the wide section, then what is the velocity of the fluid in the narrow section?

A) 6.4 m/s

B) 5.9 m/s

C) 5.0 m/s

D) 4.7 m/s

E) 4.2 m/s

36) Water is flowing through a pipe with a constriction. The diameter of the narrow section is one-half the diameter of the wide section. If the velocity of the incompressible fluid is 3.20 m/s in the wide section, then what is the velocity of the fluid in the narrow section?

A) 16.5 m/s

B) 18.7 m/s

C) 19.8 m/s

D) 10.5 m/s

E) 12.8 m/s

37) Water is flowing through a pipe with a constriction. The area of the narrow section is one-half the area of the wide section. If the velocity of the incompressible fluid is 3.2 m/s in the narrow section, then what is the velocity of the fluid in the wide section?

A) 0.9 m/s

B) 1.0 m/s

C) 1.6 m/s

D) 1.8 m/s

E) 1.9 m/s

38) Water is flowing through a pipe with a constriction. The diameter of the narrow section is one-third the diameter of the wide section. If the velocity of the incompressible fluid is 3.6 m/s in the narrow section, then what is the velocity of the fluid in the wide section?

A) 2.00 m/s

B) 0.80 m/s

C) 1.4 m/s

D) 1.0 m/s

E) 0.40 m/s

39) An incompressible fluid is flowing through a horizontal pipe with a constriction. The velocity of the fluid in the wide section of the pipe is 5.00 m/s and the velocity of the fluid in the narrow section of pipe is 8.00 m/s. The pressure of the fluid in the wide section is 200 kPa. What is the pressure in the narrow section of the pipe? (density of the fluid is 680 kg/m3)

A) 155 kPa

B) 160 kPa

C) 175 kPa

D) 187 kPa

E) 207 kPa

40) An incompressible fluid is flowing through a horizontal pipe with a constriction. The velocity of the fluid in the wide section of the pipe is 6.00 m/s and the velocity of the fluid in the narrow section of pipe is 8.00 m/s. The pressure of the fluid in the wide section is 250 kPa. What is the pressure in the narrow section of the pipe? (density of the fluid is 1,000 kg/m3)

A) 183 kPa

B) 236 kPa

C) 268 kPa

D) 285 kPa

E) 298 kPa

41) An incompressible fluid is flowing through a horizontal pipe with a constriction. The velocity of the fluid in the wide section of the pipe is 4.00 m/s and the velocity of the fluid in the narrow section of pipe is 9.00 m/s. The pressure of the fluid in the wide section is 250 kPa. What is the pressure in the narrow section of the pipe? (density of the fluid is 1,000 kg/m3)

A) 218 kPa

B) 225 kPa

C) 237 kPa

D) 246 kPa

E) 252 kPa

42) An incompressible fluid is flowing through a pipe with a constriction. The pipe is on an incline with an angle of 30.0 degrees from the horizontal. The narrow section is 10.0 m from the wide section and the narrow section is higher than the wide section. The velocity of the fluid in the wide section of the pipe is 4.00 m/s and the velocity of the fluid in the narrow section of pipe is 9.00 m/s. The pressure of the fluid in the wide section is 250 kPa. What is the pressure in the narrow section of the pipe? (density of the fluid is 1,000 kg/m3)

A) 169 kPa

B) 175 kPa

C) 180 kPa

D) 193 kPa

E) 205 kPa

43) An incompressible fluid is flowing through a pipe with a constriction. The pipe is on an incline with an angle of 20.0 degrees. The narrow section is 15.0 m from the wide section and the narrow section is higher than the wide section. The velocity of the fluid in the wide section of the pipe is 6.00 m/s and the velocity of the fluid in the narrow section of pipe is 9.00 m/s. The pressure of the fluid in the wide section is 250 kPa. What is the pressure in the narrow section of the pipe? (density of the fluid is 1,000 kg/m3)

A) 217 kPa

B) 205 kPa

C) 180 kPa

D) 177 kPa

E) 157 kPa

44) An incompressible fluid is flowing through a pipe with a constriction. The pipe is on an incline with an angle of 20.0 degrees. The narrow section is 15.0 m from the wide section and the narrow section is lower than the wide section. The velocity of the fluid in the wide section of the pipe is 6.00 m/s and the velocity of the fluid in the narrow section of pipe is 9.00 m/s. The pressure of the fluid in the wide section is 250 kPa. What is the pressure in the narrow section of the pipe? (density of the fluid is 1,000 kg/m3)

A) 278 kPa

B) 228 kPa

C) 195 kPa

D) 167 kPa

E) 145 kPa

45) An incompressible fluid is flowing through a pipe with a constriction. The pipe is on an incline with an angle of 30.0 degrees. The narrow section is 15.0 m from the wide section and the narrow section is lower than the wide section. The velocity of the fluid in the wide section of the pipe is 4.00 m/s and the velocity of the fluid in the narrow section of pipe is 9.00 m/s. The pressure of the fluid in the wide section is 250 kPa. What is the pressure in the narrow section of the pipe? (density of the fluid is 1,000 kg/m3)

A) 260 kPa

B) 275 kPa

C) 291 kPa

D) 301 kPa

E) 320 kPa

46) An incompressible fluid is flowing through a pipe with a constriction. The pipe is on an incline with an angle of 30.0 degrees. The narrow section is 10.0 m from the wide section and the narrow section is lower than the wide section. The velocity of the fluid in the wide section of the pipe is 2.00 m/s and the velocity of the fluid in the narrow section of pipe is 10.0 m/s. The pressure of the fluid in the wide section is 250 kPa. What is the pressure in the narrow section of the pipe? (density of the fluid is 1,000 kg/m3)

A) 175 kPa

B) 199 kPa

C) 212 kPa

D) 245 kPa

E) 251 kPa

47) An incompressible fluid is flowing through a horizontal pipe with a constriction. The velocity of the fluid in the wide section of the pipe is 5.00 m/s. The diameter of the wide section is 10.0 cm and the diameter of the narrow section is 8.00 cm. The pressure of the fluid in the wide section is 200 kPa. What is the pressure in the narrow section of the pipe? (density of the fluid is 680 kg/m3)

A) 188 kPa

B) 175 kPa

C) 160 kPa

D) 152 kPa

E) 148 kPa

48) An incompressible fluid is flowing through a pipe with a constriction. The pipe is on an incline with an angle of 30.0 degrees. The narrow section is 10.0 m from the wide section and the narrow section is higher than the wide section. The velocity of the fluid in the wide section of the pipe is 4.00 m/s. The diameter of the wide section is 12.00 cm and the diameter of the narrow section is 9.00 cm. The pressure of the fluid in the wide section is 250 kPa. What is the pressure in the narrow section of the pipe? (density of the fluid is 1,000 kg/m3)

A) 210 kPa

B) 205 kPa

C) 195 kPa

D) 184 kPa

E) 175 kPa

49) An incompressible fluid is flowing through a pipe with a constriction. The pipe is on an incline with an angle of 30.0 degrees. The narrow section is 10.0 m from the wide section and the narrow section is lower than the wide section. The velocity of the fluid in the wide section of the pipe is 4.00 m/s. The diameter of the wide section is 12.00 cm and the diameter of the narrow section is 9.00 cm. The pressure of the fluid in the wide section is 250 kPa. What is the pressure in the narrow section of the pipe? (density of the fluid is 1,000 kg/m3)

A) 295 kPa

B) 282 kPa

C) 275 kPa

D) 252 kPa

E) 240 kPa

50) An incompressible fluid is flowing through a vertical pipe with a constriction. The wide section is 2.00 cm in diameter and is at the top of the pipe. The pressure of the fluid in the wide section at the top is 200 kPa. The velocity of the fluid in the wide section is 4.00 m/s. The narrow section is 1.00 cm in diameter and is located 2.00 m below the wide section. What is the pressure of the fluid in the narrow section? (density of the fluid is 1,000 kg/m3)

A) 72.0 kPa

B) 80.0 kPa

C) 99.6 kPa

D) 105 kPa

E) 116 kPa

51) An incompressible fluid is flowing through a vertical pipe with a constriction. The wide section is 2.00 cm in diameter and is at the top of the pipe. The pressure of the fluid in the wide section at the top is 200 kPa. The velocity of the fluid in the wide section is 4.00 m/s. The narrow section is located 2.00 m below the wide section. What is the diameter of the narrow section, if the pressure of the fluid in the narrow section is equal to the pressure in the wide section? (density of the fluid is 1,000 kg/m3)

A) 1.47 cm

B) 1.20 cm

C) 1.10 cm

D) 0.90 cm

E) 0.75 cm

52) An incompressible fluid is flowing through a vertical pipe with a constriction. The wide section is 2.00 cm in diameter and is at the top of the pipe. The pressure of the fluid in the wide section at the top is 200 kPa. The velocity of the fluid in the wide section is 4.00 m/s. The narrow section is located 4.00 m below the wide section. What is the diameter of the narrow section for the pressure of the fluid in the narrow section to equal the pressure in the wide section? (density of the fluid is 1,000 kg/m3)

A) 1.50 cm

B) 1.36 cm

C) 1.28 cm

D) 1.12 cm

E) 1.00 cm

53) An incompressible fluid is flowing through a vertical pipe with a constriction. The wide section is 2.00 cm in diameter and is at the top of the pipe. The pressure of the fluid in the wide section at the top is 200 kPa. The velocity of the fluid in the wide section is 4.00 m/s. The narrow section is located 4.00 m below the wide section. What is the diameter of the narrow section , if the pressure of the fluid in the narrow section is equal to the pressure in the wide section? (density of the fluid is 680 kg/m3)

A) 1.50 cm

B) 1.43 cm

C) 1.36 cm

D) 1.28 cm

E) 1.15 cm

54) An incompressible fluid is flowing through a vertical pipe with a constriction. The wide section is 2.00 cm in diameter and is at the top of the pipe. The pressure of the fluid in the wide section at the top is 200 kPa. The velocity of the fluid in the wide section is 4.00 m/s. The narrow section is located 8.00 m below the wide section. What is the diameter of the narrow section, if the pressure of the fluid in the narrow section is equal to the pressure in the wide section? (density of the fluid is 680 kg/m3)

A) 1.10 cm

B) 1.20 cm

C) 1.31 cm

D) 1.42 cm

E) 1.55 cm

55) The surface tension of water is 0.0730 N/m. What is the height of the water in a capillary tube of diameter 1.00 mm?

A) 3.02 cm

B) 2.98 cm

C) 2.75 cm

D) 2.55 cm

E) 2.40 cm

56) The surface tension of water is 0.0730 N/m. What is the height of the water in a capillary tube of diameter 2.00 mm?

A) 1.27 cm

B) 1.37 cm

C) 1.49 cm

D) 1.58 cm

E) 1.63 cm

57) The surface tension of soapy water is 0.0250 N/m. What is the height of the water in a capillary tube of diameter 2.00 mm?

A) 5.10 mm

B) 4.77 mm

C) 4.21 mm

D) 3.98 mm

E) 3.66 mm

58) A small hole is cut in the bottom of a water storage tank. The depth of the water is 12.00 m. If the diameter of the small hole in the bottom of the tank is 4.00 mm, then what is the flow rate of the water leaving the tank?

A) 1.05 × 10−4 m3/s

B) 1.36 × 10−4 m3/s

C) 1.93 × 10−4 m3/s

D) 2.53 × 10−4 m3/s

E) 2.65 × 10−4 m3/s

59) A small hole is cut in the bottom of a water storage tank. The depth of the water is 8.00 m. If the diameter of the small hole in the bottom of the tank is 1.00 cm, then what is the flow rate of the water leaving the tank?

A) 9.83 × 10−4 m3/s

B) 8.75 × 10−4 m3/s

C) 8.21 × 10−4 m3/s

D) 7.45 × 10−4 m3/s

E) 7.21 × 10−4 m3/s

60) Glycerin at 30°C has a density of 1,260 kg/m3 and a viscosity of 0.630 Pa s. In a laboratory experiment, some glycerin is forced through a horizontal tube that is 10.0 cm long and 1.00 cm in diameter. The high-pressure end of the tube is held at a gauge pressure of 618 Pa, while the other end is open to the atmosphere. What is the flow rate of the glycerin through the tube?

A) 1.70 × 10−6 m3/s

B) 1.87 × 10−6 m3/s

C) 1.95 × 10−6 m3/s

D) 2.05 × 10−6 m3/s

E) 2.41 × 10−6 m3/s

61) Water undergoes viscous flow through two pipes with the same pressure difference between the ends. Pipe 1 has three times the diameter and twice the length of pipe 2. If the flow rate through pipe 1 is 0.400 cm3/s, then what is the flow rate through pipe 2?

A) 6.22 × 10−3 cm3/s

B) 7.78 × 10−3 cm3/s

C) 8.33 × 10−3 cm3/s

D) 9.88 × 10−3 cm3/s

E) 10.80 × 10−3 cm3/s

62) Water with a density of 1,000 kg/m3 flows through a 2.00 cm diameter pipe with a velocity of 2.40 m/s. What is the volume flow rate?

A) 5.43 × 10−4 m3/s

B) 6.24 × 10−4 m3/s

C) 7.54 × 10−4 m3/s

D) 8.14 × 10−4 m3/s

E) 9.00 × 10−4 m3/s

63) Water with a density of 1,000 kg/m3 flows through a 4.00 cm diameter pipe with a velocity of 1.20 m/s. What is the mass flow rate?

A) 1.01 kg/s

B) 1.21 kg/s

C) 1.32 kg/s

D) 1.40 kg/s

E) 1.51 kg/s

64) Air with a density of 1.20 kg/m3 flows through a 10.0 cm diameter pipe with a velocity of 1.20 m/s. What is the mass flow rate?

A) 0.0148 kg/s

B) 0.0131 kg/s

C) 0.0120 kg/s

D) 0.0113 kg/s

E) 0.0098 kg/s

65) Air with a density of 1.20 kg/m3 flows through a 75.0 cm diameter pipe with a velocity of 2.00 m/s. What is the mass flow rate?

A) 0.95 kg/s

B) 1.06 kg/s

C) 1.20 kg/s

D) 1.26 kg/s

E) 1.48 kg/s

66) A viscous fluid is flowing through a small tube at a rate of 0.400 m3/s. If the pressure difference across the tube is tripled and the length of the tube is doubled, and the radius is also doubled, then what is the new rate of flow of the fluid?

A) 9.6 m3/s

B) 10.2 m3/s

C) 12.00 m3/s

D) 14.2 m3/s

E) 15.5 m3/s

67) A viscous fluid is flowing through a small tube at a rate of 0.200 m3/s. If the pressure difference across the tube is doubled, and the length of the tube is halved, and the radius is also doubled, then what is the new rate of flow of the fluid?

A) 9.2 m3/s

B) 10.2 m3/s

C) 12.8 m3/s

D) 13.4 m3/s

E) 14.6 m3/s

68) A small steel sphere falls with terminal velocity of 2.00 cm/s in a viscous fluid. If the radius of the steel sphere is doubled, what will the new terminal velocity of the sphere be?

A) 1.00 cm/s

B) 2.00 cm/s

C) 4.00 cm/s

D) 6.00 cm/s

E) 8.00 cm/s

69) A viscous fluid is flowing through a small tube at a rate of 2.0 × 10−4 m3/s. If the pressure difference between the ends of the tube is doubled and the radius is also doubled, then what is the new rate of flow of the fluid?

A) 6.4 × 10−3 m3/s

B) 5.6 × 10−3 m3/s

C) 4.4 × 10−3 m3/s

D) 3.7 × 10−3 m3/s

E) 2.6 × 10−3 m3/s

70) A 2525 kg truck can be held up by a piston of radius 15 cm through a hydraulic lift by a force of 175 N on a piston of what radius? 

A) 3.9 cm

B) 1.04 cm

C) 1.06 cm

D) 1.26 cm

71) What force must be applied to a 2.5 cm-diameter piston in a hydraulic lift system in order to lift a truck of mass 1,210 kg upon a platform supported by a 15 cm-diameter piston?

A) 33.6 N

B) 1,980 N

C) 330 N

D) 494 N

E) 4,850 N

F) 202 N

72) The pressure at a depth of 1.25 m in a tank of liquid is measured to be 125.5 kPa. The tank is open to the outside air, which is at a pressure of 102.0 kPa. What is the density of the fluid?

A) 1,920 kg/m3

B) 10,200 kg/m3

C) 18,800 kg/m3

D) 2,400 kg/m3

73) The pressure at what depth in seawater (density 1,025 kg/m3) is equivalent to that at a depth of 10.0 m in fresh water (density 1,000 kg/m3)?

A) 10.2 m

B) 9.76 m

C) 10.3 m

D) 9.81 m

74) In an attempt to avoid "the bends", which occurs if a diver rises too quickly after having been at great depth in the ocean for a long period of time, a diver should come to the surface relatively slowly. What would the rate of change (in Pa/s) of the water pressure be on a diver in the ocean as he rose at 15 m/min? The density of seawater is 1,017 kg/m3.

A) 15 kPa/s

B) 2.5 kPa/s

C) 250 Pa/s

D) 150 kPa/s

75) What is the force on the top surface of a 10.5 cm-diameter soup can that is submerged in seawater (density 1,017 kg/m3) at a depth of 350 m? The air pressure at the surface is 101.5 kPa. 

A) 30.2 kN

B) 31.1 kN

C) 124 kN

D) 121 kN

76) A sphere of radius 25 cm rests at the bottom of a pool containing fresh water, completely submerged. If the upward normal force on the sphere from the bottom of the pool is 1,025 N, what is the mass of the sphere?

A) 38 kg

B) 39 kg

C) 65 kg

D) 105 kg

E) 170 kg

77) A baseball (0.145 kg, circumference 229 mm) is held completely underwater in the ocean (density of seawater 1,017 kg/m3). What force is required to hold the baseball in place?

A) 0.600 N

B) 0.490 N

C) It requires no additional force to remain completely submerged.

D) 0.061 N

E) 0.145 N

78) A wooden ball is tied to the bottom of a swimming pool by a string. What is the tension in the string if the ball's diameter is 0.15 m and its mass is 144 g? The water in the pool is fresh water, density 1,000 kg/m3.

A) 15.9 N

B) 12.7 N

C) 14.1 N

D) 1.78 N

79) Two balls float on the surface of a pool filled with fresh water of density 1,000 kg/m3. If ball A has 45% of its volume above the surface of the water, and ball B has 55% of its volume above the surface, what is the ratio of the density of ball A to that of ball B?

A) 0.818

B) 0.935

C) 1.07

D) 1.22

E) 0.905

F) None of the above

80) Two balls of different material, but the same radius, float on the surface of a pool filled with fresh water of density 1,000 kg/m3. If ball A has 75% of its volume above the surface of the water, and ball B has 25% of its volume above the water, what is the ratio of the mass of ball A to that of B?

A) 0.935

B) 1.73

C) 3.0

D) 0.1

E) 0.33

F) None of the above

81) A ball naturally floats with 35% of its volume above the surface of a pool filled with mercury (density 13,600 kg/m3). If a force of 1,200 N is required to force the ball completely under water, what is the radius of the ball?

A) 5.7 cm

B) 18.3 cm

C) 14.9 cm

D) 12.9 cm

82) Water flows in a flexible tube of radius 1.5 cm at the floor level of a house. The tube is joined to a second tube of smaller radius (1.2 cm), which runs to a floor 7.2 m above. If the pressure in the lower tube is 214 kPa, and the pressure in the upper tube is 107 kPa, what is the speed of water in the upper (smaller radius) tube?

A) 8.9 m/s

B) 4.5 m/s

C) 13.9 m/s

D) 11.1 m/s

83) You would like to drink water through a straw that is 12 cm long, held vertically. The atmospheric pressure is standard, 101.3 kPa. With one end of the straw just inside your mouth, and the other just beneath the water surface, what maximum pressure inside your mouth would enable you to drink the water? Ignore viscosity.

A) 94.5 kPa

B) 102.5 kPa

C) 100.1 kPa

D) 89.5 kPa

84) A cylindrical tank (height h, radius r) is full to the brim of water and its top is open to the outside air. What expression describes the speed of fluid flowing out of a hole that is opened up at height h′ above the bottom of the tank?

A) −2 g h′

B)

C)

D)

85) A horizontal section of an artery narrows from a diameter of 8.0 mm to a diameter of 6.0 mm. What is the pressure difference between the wider section and the narrower? That is, what is Pwide − Pnarrow? The blood flows in the wider section at 48 cm/s. Take blood plasma to have a density of 1,025 kg/m3 and ignore viscosity.

A) 370 Pa

B) 255 Pa

C) 780 Pa

D) 210 Pa

86) Two cylinders, one made of lead (density 11,340 kg/m3) and one of copper (density 8,940 kg/m3), have the same radius and height. They are thrown into a pool of water (density 1,000 kg/m3) and sink to the bottom. As they are sinking, describe the buoyant forces on the cylinders. 

A) The buoyant force on the lead cylinder is greater than that on the copper.

B) There is no buoyant force on either, as they are sinking.

C) The buoyant force on the copper cylinder is greater than that on the lead.

D) The buoyant force is the same on each cylinder.

87) Two spheres are made of wood—the first is of a variety of wood whose density is equal to that of water, while the second is of a variety whose density is greater than that of water. These spheres have the same volume, and the first remains wherever it is placed in the water (so it is effectively suspended in mid-water). The second rests on the bottom, being more dense than water. Compare the buoyant forces on the two spheres.

A) Nothing specifically can be concluded without knowing exactly the densities of the spheres.

B) They are identical

C) The force on the second is zero, and therefore less than that on the first, which is non-zero.

D) The force on the second is non-zero and is less than that on the first.

88) A sphere is made up of two layers: The first is lead (density 11,340 kg/m3) and is of radius R. The second is tin, (7,310 kg/m3) and is concentric with the first, from radius R to radius 2R. The sphere is placed in a pool of mercury (density 13,600 kg/m3). How much of the volume of the sphere is below the surface?

A) 68.5%

B) 57.5%

C) 57.0%

D) 64.2%

89) A U-shaped manometer, filled with a liquid of unknown density, is connected on one side to a vessel containing gas at gauge pressure 10.0 kPa, and the other side is open to the atmosphere (pressure 101.3 kPa). The level of the liquid in the side connected to the gas vessel is lower than on the open side. The difference in height between the two sides is 10 cm. What is the density of the liquid in the manometer?

A) 1.13 × 103 kg/m3

B) 2.27 × 105 kg/m3

C) 1.03 × 102 kg/m3

D) 1.13 × 105 kg/m3

E) 1.02 × 104 kg/m3

90) Two objects of different shapes, sizes, and materials, are floating in water (density 1000 kg/m3). Object A floats with 60% of its volume submerged, while object B floats with 50% of its volume submerged. What can be concluded about the densities ρA and ρB of the two objects?

A) ρA < ρB

B) ρA > ρB

C) ρA = ρB

D) Not enough information

91) You would like to use a simple water-filled barometer (an inverted tube in a container of water) to measure the atmospheric pressure on a day when the pressure is 102.5 kPa. What would be the minimum height required for such a barometer to work? The density of water is 1000 kg/m3.

A) 10.5 m

B) 1.04 cm

C) 5.22 m

D) 10.3 m

E) 12.2 cm