Exam 9: Fluids and Solids

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A tire stops a car by use of friction.What modulus should we use to calculate the stress and strain on the tire?

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A fluid is drawn up through a tube as shown in the figure.If the height difference from the top of the tank to the bottom of the siphon is H = 1.40 m,then what is the outflow speed? Assume the pressure is the same at the top of the tank and at the siphon outlet. A fluid is drawn up through a tube as shown in the figure.If the height difference from the top of the tank to the bottom of the siphon is H = 1.40 m,then what is the outflow speed? Assume the pressure is the same at the top of the tank and at the siphon outlet.   ​

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A machinist needs to punch a 5.0-cm-radius hole in a steel plate which is 0.45 cm thick.If the ultimate shear strength of steel is 2.50 × 108 Pa,what is the force required to accomplish this task?

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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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A 1.00-kg platinum-iridium cylinder is 26.0 mm in height and 40.0 mm in diameter.What is the density of the material?

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Water is being sprayed from a nozzle at the end of a garden hose of diameter 2.25 cm.If the nozzle has an opening of diameter 1.30 cm,and if the water leaves the nozzle at a speed of 14.0 m/s,what is the speed of the water inside the hose?

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What is the minimum diameter of a steel wire if it is to support a mass of 80 kg.The elastic limit of steel is 5.0 × 108 Pa.​

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By what factor is the total pressure greater at a depth of 900 m in water than at the surface where pressure is one atmosphere? (water density = 1.0 × 103 kg/m3,1 atmosphere pressure = 1.01 × 105 N/m2,and g = 9.8 m/s2)

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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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A Venturi tube may be used as the inlet to an automobile carburetor.If the inlet pipe of 2.00 cm diameter narrows to 1.00 cm diameter,what is the pressure drop in the constricted section for airflow of 2.16 m/s in the 2.00-cm section? (Assume air density is 1.25 kg/m3. )

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When water freezes,it expands about nine percent.What would be the pressure increase inside your automobile engine block if the water in there froze? (The bulk modulus of ice is 2.0 × 109 Pa,and 1 atm = 1.0 × 105 Pa. )

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Think of Bernoulli's equation as it pertains to an ideal fluid flowing through a horizontal pipe.Imagine that you take measurements along the pipe in the direction of fluid flow.What happens to the sum of the pressure and energy per unit volume?

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When lying down,the gauge pressure of the blood at a patient's heart is 13.3 kPa.If the patient suddenly stands up and her body doesn't compensate quickly enough for the pressure changes,what would be the pressure at her head,55.0 cm above her heart? The density of blood is 1 060 kg/m3.

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How large a force is necessary to stretch a 1.1-mm-diameter steel wire (Y = 2.0 × 1011 N/m2)by 2.0%?

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A pipe of diameter three cm is replaced by one of the same length but of diameter six cm.If the pressure difference between the ends of the pipe remains the same,by what factor is the rate of flow of a viscous liquid through it changed?

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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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The Greenland ice sheet can be one km thick.Estimate the pressure underneath the ice.(The density of ice is 918 kg/m3. )

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A heavily loaded boat is floating in a pond.The boat starts to sink because of a leak but quick action plugging the leak stops the boat from going under although it is now deeper in the water.What happens to the surface level of the pond?

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Water (density = 1.00 × 103 kg/m3)flows at 15.0 m/s through a pipe with radius 0.0400 m.The pipe goes up to the second floor of the building,2.50 m higher,and the pressure remains unchanged.What is the speed of the water flow in the pipe on the second floor?

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A pipe carrying water has a radius of 1.0 cm.If the flow velocity is 9.0 cm/s,which of the following characterizes the flow? Take the viscosity of water to be 1.0 × 10−3 N⋅s/m.

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