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A barge floating in fresh water (p=1000 kg/m3) is shaped like a hollow rectangular prism with base area A=450 m2 and height H=2.0 m

A barge floating in fresh water (p=1000 kg/m3) is shaped like a hollow rectangular prism with base area A=450 m2 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 = 1.4 m below the surface

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Part (a) Find the mass of the coal in kilograms. 

Part (b) How far would the barge be submerged (in meters) if m2 = 350000 kg of coal had been placed on the empty barge?

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Answer #1

Concept- Use the Archimedes principle to find the mass of coal and the depth of the barge underwater as shown below.

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