How much water can a ship deliver to a desert island in the Caribbean?

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In summary, The conversation discusses the setup of a balance of forces (weight versus buoyancy) for a ship carrying freshwater to a desert island in the Caribbean. The ship has a horizontal cross-sectional area of 3000 m^2 and rises 8.21 m higher in the sea when unloaded. The conversation also explores comparing the weight of the ship before and after unloading.
  • #1
physicsss
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A ship, carrying freshwater to a desert island in the Caribbean, has a horizontal cross-sectional area of 3000 m^2 at the waterline. When unloaded, the ship rises 8.21 m higher in the sea. How much water was delivered?
 
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  • #2
anyone ?
 
  • #3
Set up balance of forces (weight of object versus buoyancy force) in both cases.
Find from this the removed weight from the ship.
 
  • #4
um...(M+m)g=pgAx for before
Mg=pgA(x-9) for after, where M is mass of ship and m is mass of water, p is density of seawater, A is cross sectional area? Now if that's correct, how do I compare them?
 
  • #5
can anyone help? I'm studying for a test on this and the test is tomorrow
 
  • #6
Put your first equation into the right place in your second equation:
Mg=(M+m)g-pgA9
or simply:
mg=pgA9
 

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The study of fluids is called fluid mechanics.

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