(9%) Problem 13: 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 Ho = 0.45 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.
(9%) Problem 13: 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 Ho = 0.45 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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Transcribed Image Text:> A 14% Part (a) Select the correct free-body diagram for the barge when it is empty.
F
N.
FG,barge
FG,barge
FG,barge
FR
F
FB
В
B
В
FG.barge♥
FG,barge
FG,barge
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A 14% Part (b) Write an equation for the buoyant force on the empty barge in terms of the known data.
A 14% Part (c) Determine the mass of the barge in kilograms.
A 14% Part (d) Which freebody diagram represents the barge when it is loaded with coal?
A 14% Part (e) Find the mass of the coal in terms of the given data.
A 14% Part (f) Find the mass of the coal in kilograms.
A 14% Part (g) How far would the barge be submerged (in meters) if mc,2 = 350000 kg of coal had been placed in the empty barge?

Transcribed Image Text:PHY-111 Topic 6 Homework Begin Date: 9/7/2020 12:01:00 AM -- Due Date: 11/29/2020 11:59:00 PM End Date: 12/2/2020 11:59:00 PM
(9%) Problem 13: A barge floating in fresh water (p = 1000 kg/m³) is shaped like a hollow
rectangular prism with base area A = 450 m? and height H = 2.0 m. When empty the bottom of the
barge is located Ho = 0.45 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.
A
H.
Ho
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D A 14% Part (a) Select the correct free-body diagram for the barge when it is empty.
N,
Fa.barge
FG,barge
FG,barge
AA
B
'N,
Fa horoo
Fa bom
Fe borno
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