Fluids and Newton's Laws (Buoyancy)

AP Physics 1· difficulty 4/5

A solid object of density 0.60×1030.60 \times 10^3 kg/m³ floats in water (density 1.0×1031.0 \times 10^3 kg/m³). The fraction of the object's volume submerged is

  • A

    60% (Archimedes: ρobj/ρfluid\rho_{obj}/\rho_{fluid})

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  • B

    100%

  • C

    40%

  • D

    60%

Explanation

Floating equilibrium: weight = buoyant force. ρobjVg=ρwVsubg\rho_{obj} V g = \rho_w V_{sub} g. So Vsub/V=ρobj/ρw=0.60V_{sub}/V = \rho_{obj}/\rho_w = 0.60 = 60%.

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