Question

A raft is constructed of wood having a density of
6.00x10^{2} kg/m^{3}. Its surface area is 5.70
m^{2} and its volume is 0.80 m^{3}. 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/m^{3}.

Hint: Use Newton’s second to sum the forces (Buoyancy and weight) that are in equilibrium.

Answer #1

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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*If there is any confusion regarding the answer
mention it in the comments below.*

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