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A

Anonymous

Dec 12, 2024

What fraction of a piece of aluminum will be submerged when it floats in mercury?

What fraction of a piece of aluminum will be submerged when it floats in mercury? Additionally, could you explain the principles behind buoyancy that determine this fraction?

1 Answers

A
Anonymous

Jan 25, 2025

For floating body the mass of the displaced liquid equals the total mass of the body. its weight liquid which equals

m_dis · g = m_piece · g

←→

ρ_Hg · V_dis · g = ρ_Al · V_piece · g

←→

ρ_Hg · V_dis = ρ_Al · V_piece

←→

V_dis / V_piece = ρ_Al / ρ_Hg

LHS represents fraction of the piece, which is submerged

V_dis / V_piece = ρ_Al / ρ_Hg = 2.70g/cm³ / 13.534g/cm³ = 19.95%

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