Calculating Ship Mass from Water Density Change

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Homework Help Overview

The problem involves calculating the mass of a ship based on its behavior when transitioning from seawater to freshwater. The context includes the ship's load and its buoyancy changes as it is unloaded.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the need for the density ratio of seawater to freshwater and how it relates to the ship's mass. There is an exploration of the relationship between the ship's weight and the load removed.

Discussion Status

Some participants have provided guidance on using the density ratio to set up an equation for the ship's mass. However, there is no explicit consensus on the interpretation of the problem or the necessary steps to solve it.

Contextual Notes

Participants note the absence of the ship's weight and the reliance on the density ratio, which may not be readily available. The discussion reflects uncertainty regarding the assumptions needed to proceed with the calculations.

kidia
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Can anybody help me on this one

A ship sails from sea water into fresh water and therefore sinks slightly.When its load of 600000kg is removed,its returns to its original level.Assuming the sides of the ship are vertical at the water line,find the mass of ship before it was unloaded.

I fail to understand because we don't have the weight of the ship.
 
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You need the ratio R of the densitiy of ocean water to fresh water.

(W+600000)/W=R
 
Thanx very much mathman
 
Of course, if you look up R and then solve for W, it will be the answer to your question! Do you see why?
 

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