Question

Part A: A boat (with a flat bottom) and its cargo weigh 5,600 N. The area of the boat's bottom is 6 m². How far below the surface of the water is the boat's bottom when it is floating in water? (answer in meter).

Part B: What substance is it, most likely?

- diamond

- brass    

-ebony wood

- iron

Answer 1

a. According to Archimedian principle weight of the cargo will be equal to the weight of the water displaced.

So, as mentioned in the question the weight of the cargo = 5600 N

Area of the boat is =

Let the bottom of the boat goes x meter below the surface

Density of water is =

So,   

where 9.8 is acceleration due to gravity.

or,

b. Looking at the submerged part which is 9.5 cm we can say that the cargo must have very small density, which is just higner than that of the water but close to it. So on this basic Ebony wood is the cargo.