FLUIDS CONCEPT INVENTORY



FLUIDS CONCEPT INVENTORY

1. Density is

(A) proportional to both mass and volume.

(B) proportional to mass and inversely proportional to volume.

(C) inversely proportional to mass and proportional to volume.

(D) inversely proportional to both mass and volume.

(E) proportional only to volume.

2. Pressure is

(A) proportional to both force and area.

(B) proportional to force and inversely proportional to area.

(C) inversely proportional to force and proportional to area.

(D) inversely proportional to both force and area.

(E) proportional only to area.

Consider three drinking glasses. All three have the same area base, and all three are filled to the same depth with water. Glass A is cylindrical. Glass B is wider at the top than at the bottom, and so holds more water than A. Glass C is narrower at the top than at the bottom, and so holds less water than A.

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3. Which glass has the greatest liquid pressure at the bottom?

(A) Glass A.

(B) Glass B.

(C) Glass C.

(D) Glasses B and C have equal pressure, higher than that of Glass A.

(E) All three have equal pressure.

4. Which glass has the greatest force exerted by the water on the bottom of the container?

(A) Glass A.

(B) Glass B.

(C) Glass C.

(D) Water in glasses B and C exerts equal force on the bottom of the container.

(E) In all three glasses water exerts equal force on the bottom of the container.

5. Which glass exerts the greatest force on the table?

(A) Glass A.

(B) Glass B.

(C) Glass C.

(D) Glasses B and C exert equal force on the table, but greater than that of Glass A.

(E) All three glasses exert equal force on the table.

6. Salt water has greater density than fresh water. A boat floats in both fresh water and in salt water. Where is the buoyant force greater on the boat?

(A) Salt water.

(B) Fresh water.

(C) Buoyant force is the same in both.

(D) There is no buoyant force acting on the boat.

(E) Impossible to determine from the information given.

7. A steel ball sinks in water but floats in a pool of mercury. Where is the buoyant force on the ball greater?

(A) Floating on the mercury.

(B) Submerged in the water.

(C) It is the same in both cases.

(D) There is no buoyant force acting on the ball.

(E) Cannot be determined from the information given.

8. Water flows through a pipe. The diameter of the pipe at point B is larger than at point A. Where is the speed of the water greater?

(A) Point A.

(B) Point B.

(C) Same at both A and B.

(D) Cannot be determined from the information given.

9. As the speed of a moving fluid increases, the pressure in the fluid

(A) increases.

(B) remains constant.

(C) decreases.

(D) may increase or decrease, depending on the viscosity.

10. Water flows through a pipe. The diameter of the pipe at point B is larger than at point A. Where is the water pressure greatest?

(A) Point A.

(B) Point B.

(C) Same at both A and B.

(D) Cannot be determined from the information given.

11. When you blow some air above a paper strip, the paper rises. This is because

(A) the air above the paper moves faster and the pressure is higher.

(B) the air above the paper moves faster and the pressure is lower.

(C) the air above the paper moves slower and the pressure is higher.

(D) the air above the paper moves slower and the pressure is lower.

12. A sky diver falls through the air at terminal velocity. The force of air resistance on him is

(A) half his weight.

(B) equal to his weight.

(C) twice his weight.

(D) zero.

(E) cannot be determined from the information given

13. Two Styrofoam balls, of radii R and 2R, are released simultaneously from a tall tower. Which will reach the ground first?

(A) Both will reach the ground simultaneously.

(B) The larger one.

(C) The smaller one.

(D)The result will depend on the atmospheric pressure.

(E) The result will depend on the height of the tower.

14. Two horizontal pipes are the same length, but pipe B has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of the pipes. If the flow rate in pipe A is Q, what is the flow rate in pipe B?

(A) Q/2.

(B) 2Q.

(C) 4Q.

(D) 8Q.

(E) 16Q.

15. Two horizontal pipes have the same diameter, but pipe B is twice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of the pipes. If the flow rate in pipe B is Q, what is the flow rate in pipe A?

(A) Q/2.

(B) Q.

(C) 2Q.

(D) 4Q.

(E) 8Q.

16. When soup gets cold, it often tastes greasy. This "greasy" taste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in little globules. To us "physikers", this is readily explained in terms of

(A) Bernoulli’s Principle.

(B) Archimedes’ Principle.

(C) Pascal’s Principle.

(C) the decrease in the surface tension of water with increasing temperature.

(D) the increase in the surface tension of water with increasing temperature.

17. When a tube of diameter d is placed in water, the water rises to a height h. If the diameter were half as great, how high would the water rise?

(A) h/4.

(B) h/2.

(C) h.

(D) 2h.

(E) 4h.

18. A flask of water rests on a scale. If you dip your finger into the water, without touching the flask, the reading on the scale will

(A) decrease.

(B) stay the same.

(C) increase.

(D) behave unpredictably.

(E) depend on how deeply you dip your finger into the water.

19. A cup of water is filled to the brim when an ice cube is placed in it. The tip of the ice cube sticks out of the surface. As the ice melts, you observe that

[pic]

(A) The cup overflows.

(B) The cup might overflow but it depends on the actual mass of the ice cube.

(C) The water level remains the same.

(D) The water level goes down.

(E) There is not enough information to answer the question.

20. Two tall containers are connected by a narrow tube closed off with a stopcock. One container is filled with water, and when the stopcock is opened, the water passes into the other container until both levels are equal. At the end of this process, in which the “fluid seeks its own level,”

(A) The gravitational potential energy has increased to a maximum.

(B) The kinetic energy has increased.

(C) The gravitational potential energy has become a minimum.

(D) The gravitational potential energy is unchanged.

(E) Both gravitational potential energy and the kinetic energy have increased.

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