Buoyancy Archimedes principle says that the buoyant force

Chapter 6, Problem 64

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Buoyancy Archimedes principle says that the buoyant force exerted on an object that is (partially or totally) submerged in water is equal to the weight of the water displaced by the object (see figure). Let rw = 1 g>cm3 = 1000 kg>m3 be the density of water and let r be the density of an object in water. Let f = r>rw. If 0 6 f 1, then the object floats with a fraction f of its volume submerged; if f 7 1, then the object sinks. buoyant force volume of displaced water Consider a cubical box with sides 2 m long floating in water with one-half of its volume submerged 1r = rw>22. Find the force required to fully submerge the box (so its top surface is at the water level). (See the Guided Project Buoyancy and Archimedes Principle for further explorations of buoyancy problems.)