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Is the Ring Made of Pure Gold? Your friend asks you to determine whether the ring that she recently bought is made of pure gold. (The density of gold is 1.93 × 104 kg/m3.) Using a thread of negligible mass and volume, you tie the ring to a very accurate spring balance and determine that in air it weighs 6.40 ×〖10〗^(-3) N. You then fully immerse the ring in a beaker full of water and find that its apparent weight is 6.00 3 1023 N. Is the ring made of pure gold?
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Nuclear Physics
Keeping a Fire Hose Stationary Consider a fire hose that has an inner diameter of 4.40 cm. The diameter of the nozzle connected to the end of the hose tapers from 4.40 cm to 2.00 cm. Water is flowing out of the nozzle at a rate of 10 L/s, and the gauge pressure at the wide end of the nozzle is 6.80 × 105 Pa. What force must a firefighter exert to keep the nozzle stationary? (Ignore the weight of the nozzle.)
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Nuclear Physics
Measuring the Mass of Earth’s Atmosphere Given that atmospheric pressure at Earth’s surface is 1.01 × 105 Pa and the mean radius of Earth is about 6.370 × 106 m, calculate the approximate mass of the air surrounding Earth. What assumptions do you need to make to calculate the mass of the air?
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Nuclear Physics
Pipeline Pressure The total pressure in a gas pipeline is to be maintained at three times atmospheric pressure. Figure 12-14 shows the cross-sectional area of the pipeline that is connected to a manometer filled with mercury. An inspector measures a difference of 1.25 m between the two columns of mercury. Is the gas pressure being maintained at the desired value? The density of mercury is 13 600 kg/m3.
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Nuclear Physics
Pipeline Pressure The total pressure in a gas pipeline is to be maintained at three times atmospheric pressure. Figure 12-14 shows the cross-sectional area of the pipeline that is connected to a manometer filled with mercury. An inspector measures a difference of 1.25 m between the two columns of mercury. Is the gas pressure being maintained at the desired value? The density of mercury is 13 600 kg/m3.
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Nuclear Physics
Pumping Blood to an Ostrich’s Head An ostrich’s neck is approximately 1.20 m long. Assume that the artery supplying blood to the ostrich’s head has a radius of 2.00 mm and that the blood flows through it with an average speed of2.00 cm/s. If the blood arrives at the ostrich’s head when it is upright (Figure 12-49) at one atmospheric pressure, with what pressure should the ostrich’s heart pump the blood? Assume that the density of the ostrich’s blood is 1.06 3 103 kgym3 and its viscosity is 1.06×〖10〗^3 kg/m^3 and its viscosity is 4.00×〖10〗^(-3) Pa•s.
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Nuclear Physics
The density of the Sun The mass of the Sun can be accurately determined from the length of the year on Earth, the distance between Earth and the Sun, and the value of the gravitational constant, G. The mass of the Sun is 1.99×1030 kg, and its radius is approximately 6.96 × 108 m. What is the average density of the Sun? Assume that the Sun is spherical.
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Nuclear Physics
Water Flow through a Pressurized Tank Water flows from a large enclosed tank through a horizontal pipe of variable cross-sectional area, as shown in Figure 12-45. The upper end of the tank is maintained at an absolute pressure of 1.20 × 105 N/m2 by pumping compressed air into it. The horizontal outlet of the pipe has a cross-sectional area of 4.00×〖10〗^(-2) m^2 in the larger section and 2.00×〖10〗^(-2) m^2 in the smaller section. A vertical tube of cross-sectional area 4.00×〖10〗^(-2) m^2 is connected to the horizontal tube and open to the atmosphere.
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Nuclear Physics
