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?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter15: Fluid Mechanics
Section: Chapter Questions
Problem 20P: A tank with a flat bottom of area A and vertical sides is filled to a depth h with water. The...
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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. 

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? 

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