# Slide 5 / What is the difference between the pressure on the bottom of a pool and the pressure on the water surface? A ρgh B ρg/h C ρ/gh D gh/ρ

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1 Slide 1 / 47 1 Two substances mercury with a density kg/m3 and alcohol with a density 800 kg/m3 are selected for an experiment. If the experiment requires equal masses of each liquid, what is the ratio of alcohol volume to the mercury volume? A 1/15 B 1/17 C 1/13 D 17/1

2 Slide 2 / 47 2 A perpendicular force F is applied to a certain area A and produces a pressure P. If the same force is applied to an area two times in size, the new pressure on the surface is: A 2P B 4P C P D P/2

3 Slide 3 / 47 3 There are two round tables in the physics classroom: one with the radius of 50 cm the other with a radius of 150 cm. What is the relationship between the two forces applied on the tabletops by the atmospheric pressure? A 1/3 B 1/9 C 3/1 D 9/1

4 Slide 4 / 47 4 Three containers are used in a chemistry lab. All containers have the same bottom area and the same height. A chemistry student fills each of the containers with the same liquid to the maximum volume. Which of the following is true about the pressure on the bottom in each container? A P 1 >P 2 >P 3 B P 1 <P 2 <P 3 C P 1 <P 2 >P 3 D P 1 =P 2 =P 3

5 Slide 5 / 47 5 What is the difference between the pressure on the bottom of a pool and the pressure on the water surface? A ρgh B ρg/h C ρ/gh D gh/ρ

6 Slide 6 / 47 6 A boy swims a lake and initially dives 0.5 m beneath the surface. When he dives 1 m beneath the surface, how does the absolute pressure change? A It doubles B It quadruples C It cut to a half D It slightly increases

7 Slide 7 / 47 7 Which of the following scientists invented a mercury barometer? A Blaise Pascal B Evangelist Torricelli C Amedeo Avogadro D Robert Brown

8 Slide 8 / 47 8 A car driver measures a tire pressure of 220 kpa. What is the absolute pressure in the tire? A 321 kpa B 119 kpa C 0 kpa D 101 kpa

9 Slide 9 / 47 9 In a hydraulic lift the small piston has an area of 2 cm 2 and large piston has an area of 80 cm 2. What is the mechanical advantage of the hydraulic lift? A 40 B 4 C 2 D 1

10 Slide 10 / A hydraulic lift is used to lift a car. The small piston has a radius of 5 cm and the large piston has a radius of 50 cm. If a driver applies a force of 88 N to the small piston, what is the weight of the car the large piston can support? A 880 N B 88 N C 8800 N D 8.8 N

11 Slide 11 / Three blocks of equal volume are completely submerged into water. The blocks made of different materials: aluminum, iron and lead. Which of the following is the correct statement about the buoyant force on each block? (ρ aluminum = 2700 kg/m 3, ρ iron = 7800 kg/m 3, ρ lead = kg/m 3 ) A F aluminum > F iron > F lead B F aluminum < F iron < F lead C F aluminum < F iron > F lead D F aluminum = F iron = F lead

12 Slide 12 / A piece of iron has a weight of 3.5 N when it is in air and 2.0 N when it is submerged into water. What is the buoyant force on the piece of iron? A 3.5 N B 2.0 N C 1.5 N D 1.0 N

13 Slide 13 / Physics students use a spring scale to measure the weight of a piece of lead. The experiment was performed two times: once in the air and once in water. If the volume of lead is 50 cm 3, what is the difference between the two readings on the scale? A 0.5 N B 5.0 N C 50 N D 500 N

14 Slide 14 / A solid cylinder of mass 5 kg is completely submerged into water. What is the tension force in the string supporting the piece of aluminum if the specific gravity of the cylinder s material is 10? A 5 N B 0.5 N C 50 N D 45 N

15 Slide 15 / An object has a weight of 9 N when it is in air and 7.2 N when it is submerged into water. What is the specific gravity of the object s material? A 5 B 6 C 7 D 8

16 Slide 16 / A wooden block with a weight of 7.5 N is placed on water. When the block floats on the surface of water it is partially submerged in water. What is the weight of the displaced water? A 5.0 N B 5.5 N C 6.0 N D 7.5 N

17 Slide 17 / A wooden block with a weight of 9 N is placed on water. When the block floats on the surface of water it is partially submerged in water. What is the volume of the displaced water? A 500 cm 3 B 400 cm 3 C 300 cm 3 D 900 cm 3

18 Slide 18 / Water flows at a constant speed of 16 m/s through narrow section of the pipe. What is the speed of water in the section of the pipe where its radius is twice of the initial radius? A 16 m/s B 12 m/s C 8 m/s D 4 m/s

19 Slide 19 / Venturi tubes have three sections with different radii. Which of the following is true about manometer readings? A P 1 > P 2 > P 3 B P 1 < P 2 < P 3 C P 2 >P 1 > P 3 D P 3 = P 2 = P 1

20 Slide 20 / An open bottle is filled with a liquid which is flowing out trough a spigot located at the distance h below the surface of the liquid. What is the velocity of the liquid leaving the bottle? A 2gh B 2gh C 4gh D ρgh

21 Slide 21 / A table surface of area A is placed underwater in a tank at a depth H relative to the surface of the water. A toy submarine is placed into the water and it sinks onto the table. If the submarine has a mass that cannot be ignored, and the amount of water displaced from the tank is Mw, what is the pressure on the table surface? A C B D

22 Slide 22 / A student wishes to test which things will float on olive oil. Olive oil has a specific gravity of The following are specific gravities of various substances. Which will float on olive oil? Select two answers. A Oak B Balsa wood C Beeswax 0.95 D Charcoal 0.40

23 Slide 23 / Two boxes lie on a table top: a 2 N box with a volume of 5 x 6 x 4 cm 3 and a 3 N box with a volume of 4 x 5 x 9 cm 3. Which two arrangements will exert the same pressure? Select two answers. A The 2N box on the 6 cm x 5 cm side. B The 2N box on the 4 cm x 5 cm side. C The 3N box on the 4 cm x 5 cm side. D The 3N box on the 5 cm x 9 cm side.

24 Slide 24 / A partially evacuated vertical cylindrical container is covered by a circular lid that makes an airtight seal. The pressure in the room is 1.01 x 105 Pa and the pressure inside the container is 0.41 x 105 Pa. What other two quantities would you need to know in order to calculate the minimum upward applied force required to lift the lid? Select two answers. A The volume of the container. B The density of the air in the container. C The mass of the lid. D The radius of the lid.

25 Slide 25 / Four objects are thrown into water. Two objects, with volumes 0.02cm 3 and 0.04cm 3, float and two objects, also with volumes 0.02cm 3 and 0.04cm 3, sink. Which two objects could have the same buoyant force exerted on them? Select two answers. A The object with a volume of 0.02m 3 that floats. B The object with a volume of 0.04m 3 that floats. C The object with a volume of 0.02m 3 that sinks. D The object with a volume of 0.04m 3 that sinks.

26 Slide 26 / A small sphere of mass m and density D is suspended from an elastic spring. The spring is stretched by a distance X 1. a. Determine the spring constant.

27 Slide 27 / A small sphere of mass m and density D is suspended from an elastic spring. The spring is stretched by a distance X 1. The sphere is submerged into liquid of unknown density ρ < D. The new displacement of the spring is X 2. b. On the diagram below show all the applied forces on the sphere when it is submerged.

28 Slide 28 / A small sphere of mass m and density D is suspended from an elastic spring. The spring is stretched by a distance X 1. The sphere is submerged into liquid of unknown density ρ < D. The new displacement of the spring is X 2. c. Determine the weight of the displaced liquid by the sphere.

29 Slide 29 / A small sphere of mass m and density D is suspended from an elastic spring. The spring is stretched by a distance X 1. The sphere is submerged into liquid of unknown density ρ < D. The new displacement of the spring is X 2. d. Determine the density of liquid. Express your result in terms of D, X 1, X 2.

30 Slide 30 / A pool has an area A = 50 m 2 and depth h = 2.5 m. The pool is filled with water to the maximum height. An electrical pump is used to empty the pool. There are two pipes coming out the pump: one is submerged into water and has a radius r 1 = 4 cm while the other has a radius r 2 = 2.5 cm. Answer the following questions ignoring friction, viscosity, and turbulence. a. Calculate the net force on the bottom of the pool.

31 Slide 31 / A pool has an area A = 50 m 2 and depth h = 2.5 m. The pool is filled with water to the maximum height. An electrical pump is used to empty the pool. There are two pipes coming out the pump: one is submerged into water and has a radius r 1 = 4 cm while the other has a radius r 2 = 2.5 cm. Answer the following questions ignoring friction, viscosity, and turbulence. b. Calculate work done by the pump required to empty the pool in 5 h.

32 Slide 32 / A pool has an area A = 50 m 2 and depth h = 2.5 m. The pool is filled with water to the maximum height. An electrical pump is used to empty the pool. There are two pipes coming out the pump: one is submerged into water and has a radius r 1 = 4 cm while the other has a radius r 2 = 2.5 cm. Answer the following questions ignoring friction, viscosity, and turbulence. c. Calculate the speed of the water flow in the submerged pipe.

33 Slide 33 / A pool has an area A = 50 m 2 and depth h = 2.5 m. The pool is filled with water to the maximum height. An electrical pump is used to empty the pool. There are two pipes coming out the pump: one is submerged into water and has a radius r 1 = 4 cm while the other has a radius r 2 = 2.5 cm. Answer the following questions ignoring friction, viscosity, and turbulence. The pump produces a pressure P 1 = 9*10 5 Pa in the submerged pipe. d. Calculate speed of the water flow in the second section of the pipe placed on the ground.

34 Slide 34 / A submarine dives from rest a 100-m distance beneath the surface of the Pacific Ocean. Initially the submarine accelerates down at a constant rate 0.3 m/s 2 until it reaches a speed of 4 m/s and then continues its journey down at a constant speed. The density of salt water is 1030 kg/m 3. The submarine has a hatch with an area of 2 m 2 located on the top of the submarine s body. a. How much time does it take for the submarine to move down 100 m?

35 Slide 35 / A submarine dives from rest a 100-m distance beneath the surface of the Pacific Ocean. Initially the submarine accelerates down at a constant rate 0.3 m/s 2 until it reaches a speed of 4 m/s and then continues its journey down at a constant speed. The density of salt water is 1030 kg/m 3. The submarine has a hatch with an area of 2 m 2 located on the top of the submarine s body. b. Calculate the gauge pressure applied on the submarine at the depth of 100 m.

36 Slide 36 / A submarine dives from rest a 100-m distance beneath the surface of the Pacific Ocean. Initially the submarine accelerates down at a constant rate 0.3 m/s 2 until it reaches a speed of 4 m/s and then continues its journey down at a constant speed. The density of salt water is 1030 kg/m 3. The submarine has a hatch with an area of 2 m 2 located on the top of the submarine s body. c. Calculate the absolute pressure applied on the submarine at the depth of 100.

37 Slide 37 / A submarine dives from rest a 100-m distance beneath the surface of the Pacific Ocean. Initially the submarine accelerates down at a constant rate 0.3 m/s 2 until it reaches a speed of 4 m/s and then continues its journey down at a constant speed. The density of salt water is 1030 kg/m 3. The submarine has a hatch with an area of 2 m 2 located on the top of the submarine s body. d. How much force is required in order to open the hatch from the inside of submarine?

38 Slide 38 / A rectangular slab of ice floats on water with a large portion submerged beneath the water surface. The volume of the slab is 20 m 3 and the surface area of the top is 14 m 2. The density of ice is 900 kg/m 3 and sea water is 1030 kg/m 3. a. On the diagram below show all the applied forces on the slab.

39 Slide 39 / A rectangular slab of ice floats on water with a large portion submerged beneath the water surface. The volume of the slab is 20 m 3 and the surface area of the top is 14 m 2. The density of ice is 900 kg/m 3 and sea water is 1030 kg/m 3. b. Calculate the buoyant force on the slab.

40 Slide 40 / A rectangular slab of ice floats on water with a large portion submerged beneath the water surface. The volume of the slab is 20 m 3 and the surface area of the top is 14 m 2. The density of ice is 900 kg/m 3 and sea water is 1030 kg/m 3. c. Calculate the height h of the portion of the slab that is above the water surface.

41 Slide 41 / A rectangular slab of ice floats on water with a large portion submerged beneath the water surface. The volume of the slab is 20 m 3 and the surface area of the top is 14 m 2. The density of ice is 900 kg/m 3 and sea water is 1030 kg/m 3. A polar bear climbs to the top of the slab and sits on the slab for a long time. d. On the diagram below show all the applied forces on the slab.

42 Slide 42 / A rectangular slab of ice floats on water with a large portion submerged beneath the water surface. The volume of the slab is 20 m 3 and the surface area of the top is 14 m 2. The density of ice is 900 kg/m 3 and sea water is 1030 kg/m 3. A polar bear climbs to the top of the slab and sits on the slab for a long time. e. If the average mass of a polar bear is 500 kg, calculate the maximum number of bears that can sit on the slab without sinking.

43 Slide 43 / A sphere with a radius of 5 cm is completely submerged in a tank of water and it is attached to the bottom of the tank by a string as shown in the picture above. The tension in the string is 0.75 times the weight of the sphere. The density of water is 1000 kg/m 3. a. The circle below represents the sphere. Draw and label each of the applied forces that act on the sphere.

44 Slide 44 / A sphere with a radius of 5 cm is completely submerged in a tank of water and it is attached to the bottom of the tank by a string as shown in the picture above. The tension in the string is 0.75 times the weight of the sphere. The density of water is 1000 kg/m 3. b. Calculate the density of the sphere.

45 Slide 45 / A sphere with a radius of 5 cm is completely submerged in a tank of water and it is attached to the bottom of the tank by a string as shown in the picture above. The tension in the string is 0.75 times the weight of the sphere. The density of water is 1000 kg/m 3. c. The string is cut and the sphere begins to move. Calculate the initial acceleration of the sphere immediately after the string is cut.

46 Slide 46 / A sphere with a radius of 5 cm is completely submerged in a tank of water and it is attached to the bottom of the tank by a string as shown in the picture above. The tension in the string is 0.75 times the weight of the sphere. The density of water is 1000 kg/m 3. d. Does the buoyant force change as the sphere rises to the surface? Justify your answer.

47 Slide 47 / A sphere with a radius of 5 cm is completely submerged in a tank of water and it is attached to the bottom of the tank by a string as shown in the picture above. The tension in the string is 0.75 times the weight of the sphere. The density of water is 1000 kg/m 3. e. Does the buoyant force change as the sphere reaches the surface and rises out of the water? Justify your answer.

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