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Chapter 15: Problem 15
The density of molasses is \(1600 \mathrm{kg} / \mathrm{m}^{3} .\) Find the mass of the molasses in a \(0.75-\) L jar.
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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?
Archimedes purportedly used his principle to verify that the king's crown was pure gold by weighing the crown submerged in water. Suppose the crown's actual weight was \(25.0 \mathrm{N}\). What would be its apparent weight if it were made of (a) pure gold and (b) \(75 \%\) gold and \(25 \%\) silver, by volume? The densities of gold, silver, and water are \(19.3 \mathrm{g} / \mathrm{cm}^{3}, 10.5 \mathrm{g} / \mathrm{cm}^{3},\) and \(1.00 \mathrm{g} / \mathrm{cm}^{3},\) respectively.
Commercial aircraft cabins are usually pressurized to the pressure of the atmosphere at about \(2 \mathrm {km}\) above sea level. Why don't you feel the lower pressure on your entire body?
The difference in air pressure between the inside and outside of a ball is a constant \(\Delta p .\) Show by direct integration that the net pressure force on one hemisphere is \(\pi R^{2} \Delta p,\) with \(R\) the ball's radius.
Arterial stenosis is a constriction of an artery, often due to plaque buildup on the artery's inner walls. Serious medical conditions can result, depending on the affected artery. Stenosis of the carotid arteries that supply blood to the brain is a leading cause of stroke, while stenosis of the renal arteries can lead to kidney failure. Pulmonary artery stenosis results from birth defects, and can result in insufficient oxygen supply. Because the heart has to work harder to get blood through a constricted artery, stenosis can contribute to high blood pressure. In answering the questions below, assume steady flow (which is true in arteries only on short timescales). How does the volume flow rate of blood at a stenosis compare with the rate in the surrounding artery? a. lower b. the same c. higher
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