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## A barge floating in fresh water (rho = 1000 kg/m^3) is shaped like a hollow rectangular prism with base area A = 550 m^2 and height H = 2.0

Question

A barge floating in fresh water (rho = 1000 kg/m^3) is shaped like a hollow rectangular prism with base area A = 550 m^2 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 = 1.35 m below the surface.

Randomized Variables

A = 750 m²

H₀ = 0.55 m

Hᵢ = -1.1 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.

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Physics
2 months
2021-07-31T07:04:17+00:00
2021-07-31T07:04:17+00:00 1 Answers
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## Answers ( )

Answer:Explanation:A )

When empty , H₀ length of barge is inside water .

volume of barge inside water = A x H₀

Weight of displaced water = AH₀ x ρ x g

Buoyant force = weight of displaced water = AH₀ ρg

B)

It should balance the weight of barge

Weight = buoyant force

Weight = AH₀ ρg

mass of barge = weight / g

weight / g = AH₀ ρ

= 550 x .55 x 1000

= 302500 kg