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hw01 - 256 Chapter 1S Fluid Motion For Thought and...

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256 Chapter 1S Fluid Motion For Thought and Discussion 1. Why do your ears "pop" when you drive up a mountain? 2. The cabins of commercial jet aircraft are usually pressurized to the pressure of the atmosphere at about 2 kID above sea level. Why don't you feel the lower pressure on your entire body? 3. Water pressure at the bottom of the ocean arises from the weight of the overlying water. Does this mean that the water exerts pressure only in the downward direction? Explain. 4. The three containers in Fig. 15.22 are filled to the same level and are open to the atmosphere. How do the pressures at the bottoms of the three containers compare? ' FIGURE 15.22 For Thought and Discussion 4 5. Why is it easier to float in the ocean than in fresh water? 6. Figure 15.23 shows a cork suspended from the bottom of a sealed container of water. The container is on a turntable rotating about a vertical axis, as shown. Explain the position of the cork. ElliUBE 15.23 For Thought and Discussion 6 Exercises and Problems Exercises Section 15.1 Density and Pressure 16. The density of molasses is 1600 kglm 3 Find the mass of the molasses in a 0.75-L jar. 17. The density of atomic nuclei is about 10 17 kglm 3 , while the densi - ty of watet is 10 3 kg/m3. Roughly what fraction of the volume of water is not empty space? 18. Compressed air with mass 8.8 kg is stored in a gas cylinder with a volume of 0.050 m 3 (a) What is the density of the compressed air? (b) How large a volume would the same gas occupy at typical atmospheric density of 1.2 kg/m 3 ? 19. The pressure unit torr is defined as the pressure that will support a column of mercury 1 mm high. Meteorologists often give barometric pressure in inches of mercury, defined analogously. Express each of these in S1 units. The density of mercury is 1.36X Itt kg/m 3 20. Measurement of small pressure differences-for example, //If//O 7. Meteorologists in the United States usually report barometer readings in inches. What are they talking about? 8. A mountain stream, frothy with entrained air bubbles, presents a serious hazard to hikers who fall into it, for they may sink in the stream where they would float in calm water. Why? 9. Why are dams thicker at the bottom than at the top? lO. It's not possible to breathe through a snorkel from a depth greater than a meter or so (Fig. 15.24). Why not? flill.llf.ll.2§ For Thought and Discussion 10 11. A helium-filled balloon stops rising long before it reaches the "top" of the atmosphere, but a cork released from the bottom of a lake rises all the way to the surface of the water. Explain the difference between these two behaviors. 12. A barge filled with steel beams overturns in a lake, spilling its cargo. Does the water level in the lake rise, fall, or remain the same? 13. Under what conditions can a gas be treated as incompressible?
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