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Chapter 10: Q13Q (page 260)
Children are told to avoid standing too close to a rapidly moving train because they might get sucked under it. Is this possible? Explain.
Due to the pressure difference between near and distant air from the train, the child might be pushed towards it.
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(II) (a) Determine the total force and the absolute pressure on the bottom of a swimming pool 28.0 m by 8.5 m whose uniform depth is 1.8 m. (b) What will be the pressure against the side of the pool near the bottom?
Explain how the tube in Fig. 10鈥�45, known as a siphon, can transfer liquid from one container to a lower one even though the liquid must flow uphill for part of its journey. (Note that the tube must be filled with liquid to start with.)
Because gasoline is less dense than water, drums containing gasoline will float in water. Suppose a 210-L steel drum is completely full of gasoline. What can the total volume of steel be used in making the drum if the gasoline-filled drum is to float in freshwater?
A hurricane-force wind of \({\bf{180}}\;{\bf{km/h}}\) blows across the face of a storefront window. Estimate the force on \({\bf{2}}{\bf{.0}}\;{\bf{m \times 3}}{\bf{.0}}\;{\bf{m}}\) the window due to the difference in air pressure inside and outside the window. Assume the store is airtight so the inside pressure remains at 1.0 atm. (This is why you should not tightly seal a building in preparation for a hurricane.)
In Fig. 10-54, take into account the speed of the top surface of the tank and show that the speed of fluid leaving an opening near the bottom is \({{\bf{v}}_{\bf{1}}}{\bf{ = }}\sqrt {\frac{{{\bf{2gh}}}}{{\left( {{\bf{1 - A}}_{\bf{1}}^{\bf{2}}{\bf{/A}}_{\bf{2}}^{\bf{2}}} \right)}}} \),
where \({\bf{h = }}{{\bf{y}}_{\bf{2}}} - {{\bf{y}}_{\bf{1}}}\), and \({{\bf{A}}_{\bf{1}}}\) and \({{\bf{A}}_{\bf{2}}}\) are the areas of the opening and of the top surface, respectively. Assume \({{\bf{A}}_{\bf{1}}}{\bf{ < < }}{{\bf{A}}_{\bf{2}}}\) so that the flow remains nearly steady and laminar.
Figure 10-54
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