Abarge floating in fresh water (rho = 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 = 1.35 m below the surface. a) write an equation for the buoyant force on the empty barge in terms of the known data.

b) determine the mass of the barge in kilograms.

c) find the mass of the coal in terms of the given data.

d) find the mass of the coal in kilograms.

e) how far would the barge be submerged (in meters) if mc,2 = 25 kg of coal had been placed in the empty barge?