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AP Physics 2 Premium, 2024 - Fluids

1. The rate of flow of a liquid from a hole in a container depends on all of the following except
(A) the density of the liquid
(B) the height of the liquid above the hole
(C) the area of the hole
(D) the acceleration of gravity

2. A person is standing on a railroad station platform when a high-speed train passes by. The person will tend to be
(A) pushed away from the train
(B) pulled in toward the train
(C) pushed upward into the air
(D) pulled down into the ground

3. Bernoulli’s equation is based on which law of physics?
(A
) conservation of linear momentum
(B) conservation of angular momentum
(C) Newton’s first law of motion
(D) conservation of energy

4. Which of the following expressions represents the power generated by a liquid flowing out of a hole of area A with a velocity v?
(A) (pressure) × (rate of flow)
(B) (pressure)/(rate of flow)
(C) (rate of flow)/(pressure)
(D) (pressure) × (velocity)/(area)

5. Which of the following statements is an expression of the equation of continuity?
(A) Rate of flow equals the product of velocity and cross-sectional area.
(B) Rate of flow depends on the height of the fluid above the hole.
(C) Pressure in a static fluid is transmitted uniformly throughout.
(D) Fluid flows faster through a narrower pipe.

6. A moving fluid has an average pressure of 600 Pa as it exits a circular hole with a radius of 2 cm at a velocity of 60 m/s. What is the approximate power generated by the fluid?
(A) 32 W
(B) 62 W
(C) 1,200 W
(D) 45 W

7. Alcohol has a specific gravity of 0.79. If a barometer consisting of an open-ended tube placed in a dish of alcohol is used at sea level, to what height in the tube will the alcohol rise?
(A) 8.1 m
(B) 7.9 m
(C) 15.2 m
(D) 13.1 m

8. An ice cube is dropped into a mixed drink containing alcohol and water. The ice cube sinks to the bottom. From this, you can conclude
(A) that the drink is mostly alcohol
(B) that the drink is mostly water
(C) that the drink is equally mixed with water and alcohol
(D) nothing, unless you know how much liquid is present

9. A 2-N force is used to push a small piston 10 cm downward in a simple hydraulic machine. If the opposite large piston rises by 0.5 cm, what is the maximum weight the large piston can lift?
(A) 2 N
(B) 40 N
(C) 20 N
(D) 4 N

10. Balsa wood with an average density of 130 kg/m3 is floating in pure water. What percentage of the wood is submerged?
(A) 87%
(B) 13%
(C) 50%
(D) 25%

11. A U-tube open at both ends is partially filled with water. Benzene (ρ = 0.897 × 103 kg/m3) is poured into one arm, forming a column 4 cm high. What is the difference in height between the two surfaces?

12. A Venturi tube has a pressure difference of 15,000 Pa. The entrance radius is 3 cm, while the exit radius is 1 cm. What are the entrance velocity, exit velocity, and flow rate if the fluid is gasoline (ρ = 700 kg/m3)?

13. A cylindrical tank of water (height H) is punctured at a height h above the bottom. How far from the base of the tank will the water stream land (in terms of h and H)? What must the value of h be such that the distance at which the stream lands will be equal to H?

14. Which has more pressure on the bottom? A large tank of water 30 cm deep or a cup of water 35 cm deep? Explain your answer.

15. Two paper cups are suspended by strings and hung near each other. They are separated by about 10 cm. When you blow air between them, the cups are attracted to one another. Explain why this occurs.

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