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An international shipping corporation is planning a new route across the Pacific Ocean. The corporation is responsible for much of the steel...
An international shipping corporation is planning a new route across the Pacific Ocean. The corporation is responsible for much of the steel transportation between North America and Asia. Anticipating the new route, the shipping corporation commissioned a new cargo ship named the "Asiatica." Without any cargo, the cargo ship has a mass of 1.45 × 108 kg and a volume of 1.78 × 105 m3. The shipping corporation has tasked you with determining how much steel it can transport without sinking the vessel as well as tracking fuel consumption during the route.
1. What is the maximum mass of steel that the Asiatica can transport without sinking? Assume that the density of water is 997 kg/m3 and the density of steel is 8050 kg/m3.
2. If the Asiatica is transporting 3.56 × 104 metric tons of steel and its density decreases by 14.6 kg/m3, how many days has the cargo ship been traveling? The cargo ship consumes fuel at a steady rate of 14,000 L/hour while cruising. Also, the density of the fuel that powers the Asiatica has a density of 856 kg/m3. Assume that the volume of the cargo ship remains constant throughout the journey.