Chapter 15: Problem 1
Why do your ears "pop" when you drive up a mountain?
Chapter 15: Problem 1
Why do your ears "pop" when you drive up a mountain?
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Get started for freeWater 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.
You're a private investigator assisting a large food manufacturer in tracking down counterfeit salad dressing. The genuine dressing is by volume one part vinegar (density \(1.0 \mathrm{g} / \mathrm{cm}^{3}\) ) to three parts olive oil (density \(0.92 \mathrm{g} / \mathrm{cm}^{3}\) ). The counterfeit dressing is diluted with water (density \(1.0 \mathrm{g} / \mathrm{cm}^{3}\) ). You measure the density of a dressing sample and find it to be \(0.97 \mathrm{g} / \mathrm{cm}^{3} .\) Has the dressing been altered?
You're testifying in a drunk-driving case for which a blood alcohol measurement is unavailable. The accused weighs 140 lb, and would be legally impaired after consuming 36 oz of beer. The accused was observed at a beach party where a keg with interior diameter \(40 \mathrm{cm}\) was floating in the lake to keep it cool. After the accused's drinking stint, the keg floated \(1.2 \mathrm{cm}\) higher than before. Beer's density is essentially that of water. Does your testimony help or hurt the accused's case?
A fire hose \(10 \mathrm{cm}\) in diameter delivers water at \(15 \mathrm{kg} / \mathrm{s}\). The hose terminates in a 2.5 -cm-diameter nozzle. What are the flow speeds (a) in the hose and (b) at the nozzle?
Density and pressure in Earth's atmosphere are proportional: \(\rho=p / h_{0} g,\) where \(h_{0}=8.2 \mathrm{km}\) is a constant and \(g\) is the gravitational acceleration. (a) Integrate Equation 15.2 for this case to show that atmospheric pressure as a function of height \(h\) above the surface is given by \(p=p_{0} e^{-h / l h_{0}},\) where \(p_{0}\) is the surface pressure. (b) At what height will the pressure have dropped to half its surface value?
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