A raft is constructed of wood having a density of 6.00x102 kg/m3. Its surface area is 5.40 m2 and its volume is 0.45 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.

Question

A raft is constructed of wood having a density of 6.00x102 kg/m3.   Its surface area is 5.40 m2 and its volume is 0.45 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.