Submarine Sinking: Calculate Volume Needed to Flood

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To determine how much volume needs to be flooded in a submarine weighing 10,000 kg to begin sinking in salt water with a density of 1.02 g/cm³, the forces acting on the submarine must be analyzed. The gravitational force acting on the submarine is equal to its mass multiplied by the acceleration due to gravity. The buoyant force is calculated based on the volume of water displaced, which depends on the density of the salt water. By equating the gravitational force and the buoyant force, the required volume to flood can be calculated. This analysis is essential for understanding the principles of buoyancy and stability in marine vehicles.
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Homework Statement


A submarine that weighs 10,000kg in air and has a volume of 12m3 floats in a harbor. How much of its volume do we need to flood in order to just begin sinking it in salt water with a density 1.02 g/cm3?

Homework Equations





The Attempt at a Solution


Fgravity = mass of object * g = volume of object * density of object * g
 
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The first step is to determine what forces are acting on the boat: one is gravity, the other is the buoyant force.
 

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