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A trash barge is docked in the Mississippi River. It has an approximately rectangular bottom of...

A trash barge is docked in the Mississippi River. It has an approximately rectangular bottom of area 2100 m^2. When the barge is empty, its bottom sits 1 m bellow the surface of water.

a)What is the buoyant force on the barge?

b)What is the mass of empty barge?

c) The barge is then loaded 1x10^6 N of garbage. How far does the bottom sit bellow the water now?

d)What is the net force on the barge, now that it is loaded and ready for its journey?

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Answer #1

The buoyant force on the barge is equal to weight of displaced water. We use this to find the buoyant force as shown below. Buoyant force is also equal to weight of the empty barge because it balances its weight.

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