A barge floating in fresh water (ρ = 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 = 0.45 m below the surface of the water. When fully loaded with coal the bottom of the barge is located H1 = 1.15 m below the surface.a.) Find the expression of the mass of the coal in terms of the given data. mc=______b.) Find the mass of the coal in kilograms. c.) How far would the barge be submerged (in meters) if mc,2 = 250000 kg of coal had been placed in the empty barge?

Bouyancy force on the empty bargeThis bouyancy force will be balanced by the weight of the barge, So

Answered: A barge floating in fresh water (ρ =…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A barge floating in fresh water (ρ = 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 = 0.45 m below the surface of the water. When fully loaded with coal the bottom of the barge is located H₁ = 1.15 m below the surface.

a.) Find the expression of the mass of the coal in terms of the given data.

m_c=______

b.) Find the mass of the coal in kilograms.

c.) How far would the barge be submerged (in meters) if m_c,2 = 250000 kg of coal had been placed in the empty barge?

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