Calculating Mass of Dry Wood in Buoyancy Problem

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AI Thread Summary
To solve the buoyancy problem, the mass of the dry wood raft can be determined using the principles of buoyancy and the given parameters. The total weight of the pig and the raft must equal the buoyant force acting on them, which can be calculated using the volume of the raft and the density of water. The buoyant force is equal to the weight of the displaced water, which is the product of the water's density, gravitational acceleration, and the raft's volume. By rearranging the equations, the mass of the dry wood can be derived from the difference between the total weight and the buoyant force. The problem emphasizes the need to understand the relationship between buoyancy, weight, and volume in fluid mechanics.
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Homework Statement


A pig of mass (1158kg) is placed on a fart made of dry wood. The raft completely submerged in water so that the raft's top surface was just level with the surface of the lake. If the raft's volume was 3.40 m^3, what was the mass of the raft's dry wood? Density of water is 1000 kg/m^3


Homework Equations


m' = (p2 - p1)V
p = density
V = Volume

Buoyant Force
B = pfluid(g)Vobj

Gravity
mg

The Attempt at a Solution


I have no idea where to begin with this. The only density I am given is of water not of the wood.
 
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Buoyant force = weight of pig and raft
 

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