A barge floating in fresh water (rho = 1000 kg/m3) is shaped like a hollow rectangular prism with base area A = 450 m2 and height H = 2.0 m. When empty the bottom of the barge is located H0 = 0.55 m below the surface of the water. When fully loaded with coal the bottom of the barge is located H1 = 1.55 m below the surface.
How far would the barge be submerged (in meters) if mc,2 = 250000 kg of coal had been placed in the empty barge?