The bottom of a flat-bottomed aluminum boat has an area of 4.0 m² and the boat's mass is 60 kg.When set afloat in water,how far below the water surface is the boat bottom? (water density = 1.0 ´ 10³ kg/m³) A)0.060 m B)0.015 m C)0.030 m D)0.075 m

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Quizplus · Accepted Answer

The buoyant force equals the weight of the boat. Using Archimedes' principle: (density of water) x (g) x (submerged volume) = (mass of boat) x (g). Solving for submerged volume: (1000 kg/m³) x (submerged depth) x (4.0 m²) = 60 kg. Submerged depth = 60 kg / (1000 kg/m³ x 4.0 m²) = 0.015 m.

The Bottom of a Flat-Bottomed Aluminum Boat Has an Area