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

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Homework Help Overview

The problem involves a ship delivering freshwater to a desert island in the Caribbean, focusing on the relationship between the ship's buoyancy and the amount of water delivered based on changes in the ship's height in the water.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss setting up a balance of forces involving buoyancy and weight, with some attempting to derive equations based on the ship's dimensions and water density. Questions arise about comparing different states of the system and the correctness of the equations used.

Discussion Status

The discussion is ongoing, with participants sharing equations and seeking clarification on their approaches. Some have provided guidance on how to manipulate the equations, but there is no explicit consensus on the correct method or solution yet.

Contextual Notes

One participant mentions studying for a test, indicating a time constraint, while others express a need for assistance, suggesting varying levels of understanding of the concepts involved.

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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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