A lost shipping container is found resting on the ocean floor andcompletely subm

Question

A lost shipping container is found resting on the ocean floor andcompletely submerged. The container is 6.1 m long, 2.4 m wide and2.6 m high. Salvage experts attach a spherical balloon to the topof the container and inflate it with air pumped down from thesurface. When the balloon's radius is 1.5 m, the shipping containerjust begins to rise toward the surface. What is the mass of thecontainer? Ignore the mass of the balloon and the air within it. Donot neglect the buoyant force exerted on the shipping container bythe water. The density of seawater is 1025 kg/m3.

Explanation / Answer

Case I: if container is water filled the container will rise when the buoyant force exerted on balloon =force due to gravity on water filled container let the mass of container be M kg volume of balloon V = 4/3 r3 = volume of waterdisplaced the container will rise when Mg = Vg   M = 14490.6 kg Case II : container is empty then an additional displacement of volume due to container alsooccures volume of container V' = 6.1*2.4*2.6 m3 Mg = (V + V')g     M =53506.2 kg

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