Araft is made of solid wood and is 2.31 m long and 1.59 m wide. the raft is floating in a lake. a woman who weighs 130 lb steps onto the raft. how much further into the water does the raft sink? you do not need the thickness of the raft or the density of the wood to solve this problem if you find the symbolic solution first.

To solve this problem we will apply the principle of Archimedes.

We know that in the equilibrium condition the weight of the object is equivalent to the Buoyant Force exerted by the water to generate buoyancy.

The weight of the system is equivalent to,

Now the definition of the Bouyant force is equivalent to

Here,

= Water Density

g = Gravity

= Volume of Object

The volume will be equal to the dimensions of the raft x h (h will be the height that the raft sinks)

At equilibrium

Therefore the height that the raft sinks is 1.6cm

a 2,000 calorie based diet.