The bottom of a flat-bottomed aluminum boat has area = 4.0 m² and mass = 60 kg.If two fishermen and their fishing gear with total mass of 300 kg are placed in the boat,how much lower will the boat ride in the water? (H₂O density = 1.0 ´ 10³ kg/m³) A)0.15 m B)0.090 m C)0.075 m D)0.060 m

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Quizplus · Accepted Answer

The total mass of the boat, fishermen, and gear is 360 kg. The volume of water displaced equals the mass divided by the density of water: 360 kg / 1000 kg/m³ = 0.36 m³. The change in depth is the volume divided by the area: 0.36 m³ / 4.0 m² = 0.090 m.

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