Chapter 10: Q19P (page 260)
(II) How high would the atmosphere extend if it were of uniform density throughout, equal to half the present density at sea level?
Short Answer
The height of the atmosphere is double the present height.
Chapter 10: Q19P (page 260)
(II) How high would the atmosphere extend if it were of uniform density throughout, equal to half the present density at sea level?
The height of the atmosphere is double the present height.
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Get started for freeA submerged can of Coke sink, but a can of Diet Coke will float. (Try it!) Explain.
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
An object that can float in both water and in oil (whose density is less than that ofwater) experiences a buoyant force that is
(a) Greater when it is floating in oil than when floating in water.
(b) Greater when it is floating in water than when floating in oil.
(c) The same when it is floating in water or in oil.
A gardener feels it is taking too long to water a garden with a \(\frac{{\bf{3}}}{{\bf{8}}}\;{\bf{in}}\) diameter hose. By what factor will the time be cut using a \(\frac{{\bf{5}}}{{\bf{8}}}\;{\bf{in}}\) diameter hose instead? Assume nothing else is changed.
(III) Estimate the diameter of a steel needle that can just barely remain on top of water due to surface tension.
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