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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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 thatthe 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.
Explorers in the jungle find an ancient monument in the shape of a large isosceles triangle as shown. The monument is made from tens of thou- sands of small stone blocks of density = 800 kg/m3 . The monument is 15.7 m high and 64.8 m wide at its base and is everywhere 3.60 m thick from front to back. Before the monument was built many years ago, all the stone blocks lay on the ground. (a) Choosing a coordinate system with x = 0 at the center of the pyramid, y = 0 at the base of the pyramid, and z = 0 at the face of the pyramid shown in the diagram, determine the coordinates of the center of mass of the pyramid in the x, y, and z directions. (b) How much work did laborers do on the blocks to put them in position while building the entire monument? Note: The gravitational potential energy of an object–Earth system is given by Ug = MgyCM, where M is the total mass of the object and yCM is the elevation of its center of mass above the chosen reference level.
Consider the 3D vectors C and D defined as C = 4i + 5j - 12k and D = 12i - 8j + 2k. Which of the following vectors is the result of the cross product, C x D?
Chapter 14 Solutions
Physics for Scientists and Engineers
Ch. 14.1 - Suppose you are standing directly behind someone...Ch. 14.2 - The pressure at the bottom of a filled glass of...Ch. 14.3 - Several common barometers are built, with a...Ch. 14.4 - You are shipwrecked and floating in the middle of...Ch. 14.6 - You observe two helium balloons floating next to...Ch. 14 - A large man sits on a four-legged chair with his...Ch. 14 - Prob. 2PCh. 14 - Estimate the total mass of the Earths atmosphere....Ch. 14 - Prob. 4PCh. 14 - What must be the contact area between a suction...
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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