How much deeper does the barge lower?

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Homework Help Overview

The problem involves a rectangular barge floating in freshwater and examines the effect of adding a 400 kg block on its buoyancy, specifically how much deeper the barge sinks as a result. The subject area includes principles of buoyancy and Archimedes' principle.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between the volume displaced by the barge and the area of the barge's base. There are questions about how to calculate the additional depth the barge sinks due to the added weight.

Discussion Status

Some participants have provided insights regarding the volume displacement and area, suggesting that understanding these relationships could lead to a quicker resolution. However, there is no explicit consensus on the approach to take or the final answer.

Contextual Notes

Participants note that the textbook does not provide much guidance on this specific scenario, which may contribute to the uncertainty in the discussion.

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Homework Statement


  1. A rectangular barge floats in freshwater. When a 400 kg block is loaded on the 5 m long by 2 m wide barge, the barge sinks a few centimeters deeper. How much deeper does the barge lower?

Homework Equations


Archimedes' principle
This is where I am stuck. My textbook doesn't talk much about this at all.
barge.jpg


The Attempt at a Solution

 
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You've done all the hard work. How much deeper does the barge have to "sink" to displace the extra 0.4 m3?
 
Bystander said:
You've done all the hard work. How much deeper does the barge have to "sink" to displace the extra 0.4 m3?
barge.jpg
 
keithcuda said:
Yes, but you could have got there a bit faster from knowing the volume displaced and the area.
 
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