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

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The discussion focuses on calculating the amount of freshwater a ship can deliver to a desert island in the Caribbean, based on its buoyancy and the change in waterline height after unloading. The ship has a cross-sectional area of 3000 m² and rises 8.21 m when unloaded. Participants suggest using the balance of forces, comparing the weight of the ship and water to the buoyancy force before and after unloading. The equations provided help establish the relationship between the mass of the ship, the mass of the water, and the density of seawater. The conversation emphasizes the need to rearrange the equations to find the delivered water's mass accurately.
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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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anyone ?
 
Set up balance of forces (weight of object versus buoyancy force) in both cases.
Find from this the removed weight from the ship.
 
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?
 
can anyone help? I'm studying for a test on this and the test is tomorrow
 
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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