Archimedes and golden crown 2 part question

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SUMMARY

The discussion centers on Archimedes' principle as applied to a crown made of different materials. It establishes that the apparent weight of a crown made of gold and silver in water is less than that of a solid gold piece due to the lower density of silver. Conversely, if the crown is composed of gold and platinum, which has a higher density than gold, the apparent weight in water would be greater than that of the solid gold piece. This highlights the critical role of density in determining buoyant forces and apparent weight.

PREREQUISITES
  • Understanding of Archimedes' principle
  • Knowledge of material densities (gold, silver, platinum)
  • Basic concepts of buoyant forces
  • Familiarity with weight measurement in different mediums (air vs. water)
NEXT STEPS
  • Research Archimedes' principle in depth
  • Study the densities of various metals, focusing on gold, silver, and platinum
  • Explore the concept of buoyant force calculations
  • Investigate real-world applications of density and buoyancy in material science
USEFUL FOR

Students of physics, material scientists, and anyone interested in the principles of buoyancy and density in practical applications.

ramly
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The weight in the air of the crown and the piece of solid gold is the same

1) If the crown is made of gold and silver (density is less than that of the gold) is the apparent weight of the crown in water greater than, equal to, or less than that of the solid gold? Why?

2) What if the crown is made of gold and platinum, which has the higher density than gold?
 
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Well, what do you know about buoyant forces?
 
Not much :/
 

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