A piece of wood floats in water. It measures 49 cm x 12 cm x 11 cm, and has a density of 500 kg/m3. Find the percent of the wood that's underwater, if the density of water is 1000 kg/m3 Hint: Answer should be between 0 and 100 % Buoyancy problem: draw the wood and the forces on it - namely gravity pulling down and the buoyant force of the water pushing up ∑F = 0 the buoyant force = Fb = density of fluid x g x Volume underwater = density of fluid x g x percent * total volume solve for percent

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A piece of wood floats in water. It measures 49 cm x 12 cm x 11 cm, and has a density of 500 kg/m3. Find the percent of the wood that's underwater, if the density of water is 1000 kg/m3

Hint: Answer should be between 0 and 100 %

Buoyancy problem:

  • draw the wood and the forces on it - namely gravity pulling down and the buoyant force of the water pushing up
  • ∑F = 0
  • the buoyant force = Fb = density of fluid x g x Volume underwater = density of fluid x g x percent * total volume 
  • solve for percent
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