Mathematics, 08.04.2020 00:51 bernie24
Submarines control how much they float or sink in the ocean by changing the volume of air and water contained in large ballast tanks. When the tanks are completely full of water, the submarine increases its overall mass and sinks down to the bottom. When the tanks are completely full of air, the submarine reduces its overall mass and floats to the surface. Depending on the density of the seawater surrounding the submarine, it will pump seawater in or out of the tanks in order to achieve the same overall density as the sea water and float neutrally in the water. The volume of the submarine never changes. When the tanks are completely full of air, a submarine with a volume of 2\times10^2\text{ m}^32Γ10 2 m 3 2, times, 10, squared, start text, space, m, end text, cubed has a total mass of 1.5\times10^5\text{ kg}1.5Γ10 5 kg1, point, 5, times, 10, start superscript, 5, end superscript, start text, space, k, g, end text. The density of the seawater is 10^3\text{ kg/m}^310 3 kg/m 3 10, cubed, start text, space, k, g, slash, m, end text, cubed. To make that submarine float neutrally, and neither float nor sink in the ocean, what volume of water does that submarine need to add to its tanks? (Ignore the mass of the replaced air.)
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Submarines control how much they float or sink in the ocean by changing the volume of air and water...
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