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Part A Take the density of the crown to be Pe. What is the ratio of the crown's apparent weight (in water) Wapparent to its actual weight Wactual? Express your answer in terms of the density of the crown pe and the density of water pw.

Part A Take the density of the crown to be Pe. What is the ratio of the crown's apparent weight (in water) Wapparent to its actual weight Wactual? Express your answer in terms of the density of the crown pe and the density of water pw.

An Introduction to Physical Science
An Introduction to Physical Science
14th Edition
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Chapter1: Measurement
Section: Chapter Questions
Problem 8SA: The senses cannot be completely relied on. Why?
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According to legend, the following challenge led Archimedes to the discovery of his famous principle: Hieron, king of Syracuse, was suspicious that a new crown that he had received from the royal goldsmith was not pure gold, as claimed. Archimedes was ordered to determine whether the crown was in fact made of pure gold, with the condition that only a nondestructive test would be allowed. Rather than answer the problem in the politically most expedient way (or perhaps extract a bribe from the goldsmith). Archimedes thought about the problem scientifically. The legend relates that when Archimedes stepped into his bath and caused it to overflow, he realized that he could answer the challenge by comparing the volume of water displaced by the crown with the volume of water displaced by an amount of pure gold equal in weight to the crown. If the crown was made of pure gold, the two volumes would be equal. If some other (less dense) metal had been substituted for some of the gold, then the crown would displace more water than the pure gold. A similar method of answering the challenge, based on the same physical principle, is to compute the ratio of the actual weight of the crown, Wactual, and the apparent weight of the crown when it is submerged in water, W Wapparent. See whether you can follow in Archimedes' footsteps. The figure shows what is meant by weighing the crown while it is submerged in water. (Figure 1) Figure II < 1 of 1 > Part A Take the density of the crown to be pc. What is the ratio of the crown's apparent weight (in water) Wapparent to its actual weight Wactual? Express your answer in terms of the density of the crown pc and the density of water pw. ▸ View Available Hint(s) Wapparents Wactual Submit 6, 2 Temptates Symbols undo reço reset keyboard shortcuts help 31 Previous Answers X Incorrect; Try Again; 4 attempts remaining Provide Feedback Part B Complete previous part(s)
Transcribed Image Text:According to legend, the following challenge led Archimedes to the discovery of his famous principle: Hieron, king of Syracuse, was suspicious that a new crown that he had received from the royal goldsmith was not pure gold, as claimed. Archimedes was ordered to determine whether the crown was in fact made of pure gold, with the condition that only a nondestructive test would be allowed. Rather than answer the problem in the politically most expedient way (or perhaps extract a bribe from the goldsmith). Archimedes thought about the problem scientifically. The legend relates that when Archimedes stepped into his bath and caused it to overflow, he realized that he could answer the challenge by comparing the volume of water displaced by the crown with the volume of water displaced by an amount of pure gold equal in weight to the crown. If the crown was made of pure gold, the two volumes would be equal. If some other (less dense) metal had been substituted for some of the gold, then the crown would displace more water than the pure gold. A similar method of answering the challenge, based on the same physical principle, is to compute the ratio of the actual weight of the crown, Wactual, and the apparent weight of the crown when it is submerged in water, W Wapparent. See whether you can follow in Archimedes' footsteps. The figure shows what is meant by weighing the crown while it is submerged in water. (Figure 1) Figure II < 1 of 1 > Part A Take the density of the crown to be pc. What is the ratio of the crown's apparent weight (in water) Wapparent to its actual weight Wactual? Express your answer in terms of the density of the crown pc and the density of water pw. ▸ View Available Hint(s) Wapparents Wactual Submit 6, 2 Temptates Symbols undo reço reset keyboard shortcuts help 31 Previous Answers X Incorrect; Try Again; 4 attempts remaining Provide Feedback Part B Complete previous part(s)
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ISBN:
9781305079137
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Publisher:
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