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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Thu Thảo 2 months 2021-07-31T07:04:17+00:00 1 Answers 3 views 0

Answers ( )

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    2021-07-31T07:05:27+00:00

    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

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )