In: Physics
A raft is constructed of wood having a density of 6.00x102 kg/m3. Its surface area is 5.50 m2 and its volume is 0.55 m3. When the raft is placed in fresh water, to what depth h is the raft submerged by its weight? The density of fresh water is 1000 kg/m3. Hint: Use Newton’s second to sum the forces (Buoyancy and weight) that are in equilibrium.
The buoyant force will be equal to the weight of the raft. Find the mass of the raft using its density and volume. The volume submerged is equal to the volume of displaced water. The buoyant force is equal to the weight of displaced water. Hence the weight of displaced water will be equal to the weight of the raft for equilibrium.
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