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Fluids and Newton's Laws (Buoyancy)

AP Physics 1· difficulty 3/5

A wood block floats with 90%90\% submerged in fresh water (density 1000 kg/m31000~\text{kg/m}^3). The block's density is

  • A

    1000 kg/m31000~\text{kg/m}^3

  • B

    500 kg/m3500~\text{kg/m}^3

  • C

    100 kg/m3100~\text{kg/m}^3

  • D

    900 kg/m3900~\text{kg/m}^3

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Explanation

Submerged fraction =ρobj/ρfluid= \rho_\text{obj}/\rho_\text{fluid} ⇒ρobj=0.90×1000=900 kg/m3\Rightarrow \rho_\text{obj} = 0.90 \times 1000 = 900~\text{kg/m}^3.

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