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Unformatted text preview: 11-10-03 12:13 AMMasteringPhysics: Assignment Print ViewPage 1 of 8http://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=1643512Assignment 2- Week3Due: 11:59pm on Friday, September 23, 2011Note:To understand how points are awarded, read your instructor's Grading Policy.[Switch to Standard Assignment View]Archimedes' PrincipleLearning Goal: To understand the applications of Archimedes' principle.Archimedes' principleis a powerful tool for solving many problems involving equilibrium in fluids. It statesthe following:When a body is partially or completely submerged in a fluid (either a liquid or a gas), the fluid exerts anupward force on the body equal to the weight of the fluid displaced by the body.As a result of the upward Archimedes force (often called the buoyant force), some objects may float in afluid, and all of them appear to weigh less. This is the familiar phenomenon of buoyancy.Quantitatively, the buoyant force can be found as,where is the force, is the density of the fluid, is the magnitude of the acceleration due togravity, and is the volume of the displaced fluid.In this problem, you will be asked several qualitative questions that should help you develop a feel forArchimedes' principle.An object is placed in a fluid and then released. Assume that the object either floats to the surface (settlingso that the object is partly above and partly below the fluid surface) or sinks to the bottom. (Note that forParts A through D, you should assume that the object has settled in equilibrium.)Part AConsider the following statement:The magnitude of the buoyant force is equal to the weight of fluid displaced by the object.Under what circumstances is this statement true?Hint A.1Archimedes' principleThe statement of Part A is one way of expressing Archimedes' principle.ANSWER:for every object submerged partially or completely in a fluidonly for an object that floatsonly for an object that sinksfor no object submerged in a fluidCorrectUse Archimedes' principle to answer the rest of the questions in this problem.Part BConsider the following statement:The magnitude of the buoyant force is equal to the weight of the amount of fluid that has the same totalvolume as the object....
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