Exam 10: Thermal Physics: Part A

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Water comes down the spillway of a dam from an initial vertical height of 100 m.What is the highest possible speed of the water at the end of the spillway?

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B

Air pressure is 1.0 × 105 N/m2,air density is 1.3 kg/m3,and the density of soft drinks is 1.0 × 103 kg/m3.If one blows carefully across the top of a straw sticking up 0.080 m from the liquid in a soft drink can,it is possible to make the soft drink rise half way up the straw and stay there.How fast must the air be blown across the top of the straw?

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C

A hole is poked through the metal side of a drum holding water.The hole is 28 cm below the water surface.What is the initial speed of outflow?

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B

An ideal fluid,of density 0.85 × 103 kg/m3,flows at 0.50 kg/s through a pipe of radius 0.010 m.What is the fluid speed?

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An ideal fluid,of density 0.90 × 103 kg/m3,flows at 12 m/s through a level pipe with radius of 0.50 cm.The pressure in the fluid is 1.3 × 105 N/m2.This pipe connects to a second level pipe with a radius of 1.5 cm.Find the speed of flow in the second pipe.

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How deep under the surface of a lake would the pressure be triple that at the surface? (1 atm = 1.01 × 105 Pa)

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The flow rate of blood through the average human aorta,of radius 0.95 cm,is about 90 cm3/s.What is the speed of the blood flow through the aorta?

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Water is being sprayed from a nozzle at the end of a garden hose of diameter 2.0 cm.If the nozzle has an opening of diameter 0.50 cm,and if the water leaves the nozzle at a speed of 15 m/s,what is the speed of the water inside the hose?

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Water is sent from a fire hose at 40 m/s at an angle of 30° above the horizontal.What is the maximum height reached by the water?

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The bottom of a flat-bottomed aluminum boat has area = 4.0 m2 and mass = 120 kg.If two fishermen and their fishing gear with total mass of 240 kg are placed in the boat,how much lower will the boat ride in the water? (water density = 1.0 × 103 kg/m3)

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Legend says that Archimedes,in determining whether or not the king's crown was made of pure gold,measured its volume by the water displacement method.If the density of gold is 19.3 g/cm3,and the crown's mass is 440 g,what volume would be necessary to prove that it is pure gold?

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A Boeing-737 airliner has a mass of 30,000 kg.The total area of the wings is 100 m2.What must be the pressure difference between the top and bottom of the wings to keep the airplane up?

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A piece of aluminum has density 2.70 g/cm3 and mass 834g.The aluminum is submerged in a container of oil of density 0.650 g/cm3.A spring balance is attached with string to the piece of aluminum.What reading will the balance register in grams (g)for the submerged metal?

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What volume of water is displaced by a submerged 16-kg cylinder made of solid aluminum? (aluminum density = 2.7 × 103 kg/m3 and water density = 1.0 × 103 kg/m3)

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A jet of water flowing from a hose at 15 m/s is directed against a wall.If the mass flow in the fluid stream is 4.3 kg/s,what force is the water applying to the wall if backsplash is negligible?

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A U-tube is partially filled with water and then an immiscible liquid is added to the right side.The top of the liquid is a distance h1 above the level of interface between the liquid and water.On the left side of the tube the top of the water is a distance h2 above the liquid-water interface on the right side.What is the density of the liquid in terms of the density of water A U-tube is partially filled with water and then an immiscible liquid is added to the right side.The top of the liquid is a distance h<sub>1</sub> above the level of interface between the liquid and water.On the left side of the tube the top of the water is a distance h<sub>2</sub> above the liquid-water interface on the right side.What is the density of the liquid in terms of the density of water   ? Note that h<sub>2</sub> < h<sub>1</sub>. ? Note that h2 < h1.

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It takes 2.0 minutes to fill a gas tank with 60 liters of gasoline.If the pump nozzle is 1.0 cm in radius,what is the average speed of the gasoline as it leaves the nozzle? (1000 liters = one cubic meter)

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A solid object is made of two materials,one material having density of 2000 kg/m3 and the other having density of 6000 kg/m3.If the object contains equal masses of the materials,what is its average density?

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A syringe has an inside radius of its barrel of 0.50 cm and at the opening at the end of the needle the radius is 1.0 mm.If a force F is applied to the plunger,what is the force produced at the opening of the needle?

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The flow rate of a liquid through a 2.0-cm radius pipe is 0.016 m3/s.The average fluid speed in the pipe is:

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