It is said that Archimedes discovered the buoyancy laws when asked by King Hiero of Syracuse to determine whether or not his new crown was gold (S.G. = 19.3). Archimedes found the weight of the crown in the air to be 13.0N and its weight in water to be 11.8N. Determine the following a.  Is it Pure Gold? b.Compute percentage silver in the crown. (Assuming that the crown is an alloy of gold (S.G. = 19.3) and silver(S.G. = 10.5) for the same measured weights. )

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter15: Fluid Mechanics
Section: Chapter Questions
Problem 18P
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It is said that Archimedes discovered the buoyancy laws when asked by King Hiero of Syracuse to determine whether or not his new crown was gold (S.G. = 19.3). Archimedes found the weight of the crown in the air to be 13.0N and its weight in water to be 11.8N. Determine the following

a.  Is it Pure Gold?

b.Compute percentage silver in the crown. (Assuming that the crown is an alloy of gold (S.G. = 19.3) and silver(S.G. = 10.5) for the same measured weights. )

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