A raft is constructed of wood having a density of 6.00x102 kg/m3. Its surface area is 5.70 m2 and its volume is 0.80 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.
Buoyant force is equal to weight of displaced water. Buoyant force also balances the weight of the wood. We use this condition to find the required depth as shown below
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