A vessel immersed in fresh water to the waterline displaces 20,000 m3 of water. The weight of the vessel without cargo is 60 MN. What is the weight of the cargo?
To find the mass of the cargo on the ship in question, we apply the formula: m = (P – Pc) / g = (ρw * g * V – Pc) / g.
Constants and variables: ρw – fresh water density (ρw = 1000 kg / m3); g – acceleration of gravity (g = 9.8 m / s2); V is the volume of fresh water displaced by the vessel loaded with cargo (V = 20,000 m3); Рс – own weight of the vessel (Рс = 60 МН = 60 * 10 ^ 6 Н).
Calculation: m = (ρw * g * V – Pc) / g = (1000 * 9.8 * 20,000 – 60 * 10 ^ 6) / 9.8 = 13.88 * 10 ^ 6 kg.
Answer: The ship in question has a cargo weighing 13.88 * 106 kg.
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