Fluids and Newton's Laws (Buoyancy)

AP Physics 1· difficulty 3/5

An object floats with 30%30\% submerged in water. In a denser fluid (1.5ρw1.5\rho_w), what fraction would be submerged?

  • A

    20%20\%

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  • B

    30%30\%

  • C

    45%45\%

  • D

    10%10\%

Explanation

Submerged fraction = ρobj/ρfluid\rho_\text{obj}/\rho_\text{fluid}. With ρobj=0.30ρw\rho_\text{obj} = 0.30\rho_w and now fluid 1.5ρw1.5\rho_w: submerged =0.30/1.5=0.20= 0.30/1.5 = 0.20.

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