In the famous story, Archimedes proposed to weigh the king's crown under water to determine if it was pure gold. Suppose the weight of the crown was W₁ in air, and W₂ under water. Calculate (A) W₂ for a gold crown; and (B) W₂ for an alloy of 75% gold and 25% silver. {Historical correction: Archimedes actually used a different method, but he could have used the buoyancy method! } [Data for W₁ = 31.6 N ]

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Chapter11: Fluid Statics
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Problem 53PE: (a) A 75.0-kg man floats in freshwater with 3.00% of his volume above water when his lungs are...
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In the famous story, Archimedes proposed to weigh the
king's crown under water to determine if it was pure gold.
Suppose the weight of the crown was W₁ in air, and W₂
under water. Calculate (A) W₂ for a gold crown; and (B) W₂
for an alloy of 75% gold and 25% silver.
{Historical correction: Archimedes actually used a
different method, but he could have used the buoyancy method! }
[Data for
W₁ =
31.6 N ]
Transcribed Image Text:In the famous story, Archimedes proposed to weigh the king's crown under water to determine if it was pure gold. Suppose the weight of the crown was W₁ in air, and W₂ under water. Calculate (A) W₂ for a gold crown; and (B) W₂ for an alloy of 75% gold and 25% silver. {Historical correction: Archimedes actually used a different method, but he could have used the buoyancy method! } [Data for W₁ = 31.6 N ]
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