Physics for Scientists and Engineers
Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 14, Problem 50CP

Why is the following situation impossible? A barge is carrying a load of small pieces of iron along a river. The iron pile is in the shape of a cone for which the radius r of the base of the cone is equal to the central height h of the cone. The barge is square in shape, with vertical sides of length 2r, so that the pile of iron comes just up to the edges of the barge. The barge approaches a low bridge, and the captain realizes that the top of the pile of iron is not going to make it under the bridge. The captain orders the crew to shovel iron pieces from the pile into the water to reduce the height of the pile. As iron is shoveled from the pile, the pile always has the shape of a cone whose diameter is equal to the side length of the barge. After a certain volume of iron is removed from the barge, it makes it under the bridge without the top of the pile striking the bridge.

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Chapter 14 Solutions

Physics for Scientists and Engineers

Ch. 14 - Prob. 6PCh. 14 - Review. A solid sphere of brass (bulk modulus of...Ch. 14 - The human brain and spinal cord are immersed in...Ch. 14 - Blaise Pascal duplicated Torricellis barometer...Ch. 14 - A tank with a flat bottom of area A and vertical...Ch. 14 - Prob. 11PCh. 14 - A 10.0-kg block of metal measuring 12.0 cm by 10.0...Ch. 14 - A plastic sphere floats in water with 50.0% of its...Ch. 14 - The weight of a rectangular block of low-density...Ch. 14 - A wooden block of volume 5.24 104 m3 floats in...Ch. 14 - A hydrometer is an instrument used to determine...Ch. 14 - Refer to Problem 16 and Figure P14.16. A...Ch. 14 - On October 21, 2001, Ian Ashpole of the United...Ch. 14 - Prob. 19PCh. 14 - Water flowing through a garden hose of diameter...Ch. 14 - Water falls over a dam of height h with a mass...Ch. 14 - A legendary Dutch boy saved Holland by plugging a...Ch. 14 - Water is pumped up from the Colorado River to...Ch. 14 - In ideal flow, a liquid of density 850 kg/m3 moves...Ch. 14 - Review. Old Faithful Geyser in Yellowstone...Ch. 14 - You are working as an expert witness for the owner...Ch. 14 - A thin 1.50-mm coating of glycerin has been placed...Ch. 14 - A hypodermic needle is 3.00 cm in length and 0.300...Ch. 14 - What radius needle should be used to inject a...Ch. 14 - An airplane has a mass of 1.60 104 kg, and each...Ch. 14 - Prob. 31PCh. 14 - Decades ago, it was thought that huge herbivorous...Ch. 14 - Prob. 33APCh. 14 - The true weight of an object can be measured in a...Ch. 14 - Prob. 35APCh. 14 - Review. Assume a certain liquid, with density 1...Ch. 14 - Evangelista Torricelli was the first person to...Ch. 14 - A common parameter that can be used to predict...Ch. 14 - In 1983, the United States began coining the...Ch. 14 - Review. With reference to the dam studied in...Ch. 14 - The spirit-in-glass thermometer, invented in...Ch. 14 - A woman is draining her fish tank by siphoning the...Ch. 14 - Prob. 43APCh. 14 - Prob. 44APCh. 14 - Prob. 45APCh. 14 - Review. In a water pistol, a piston drives water...Ch. 14 - Prob. 47APCh. 14 - The hull of an experimental boat is to be lifted...Ch. 14 - Show that the variation of atmospheric pressure...Ch. 14 - Why is the following situation impossible? A barge...
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