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Write an equation for the buoyant force on the empty barge

A barge floating in fresh water (λ = 1000 kg/m3) is shaped like a hollow rectangular prism with base area A =650 m2 and height H= 2.0 m. When empty the bottom of the barge is located H0 =0.4 m below the surface of the water. When fully loaded with coal the bottom of the barge is located H1 = 1 m below the surface.

Randomized VariablesA = 650 m2
H0 = 0.4 m
H1 = 1 m

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.

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Physics: Write an equation for the buoyant force on the empty barge

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