A barge floating in fresh water ( = 1000 kg/m³) is shaped like a hollow rectangular prism with base area A = 550 m² and height H = 2.0 m. When empty the bottom of the barge is located H₀ = 0.45 m below the surface of the water. When fully loaded with coal the bottom of the barge is located H₁ = 1.3 m below the surface.

a. Which freebody diagram represents the barge when it is loaded with coal?

b. Find the mass of the coal in terms of the given data.

c. Find the mass of the coal in kilograms.

d. How far would the barge be submerged (in meters) if m_c,2 = 450000 kg of coal had been placed in the empty barge?

A H HoO F N,coal FB FG.barge FG.coal FG.coal FG.barge O O O FG.coal FG barge FG.coal FG barge