How Deep Does a Barge Sink with 3000 Tonnes of Coal?

  • Thread starter Thread starter j_suder2
  • Start date Start date
Click For Summary

Homework Help Overview

The problem involves determining how deep a barge will sink into the water when loaded with 3000 tonnes of coal. The context is related to buoyancy and displacement in fluid mechanics.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between the weight of the coal and the volume of water displaced. There are attempts to calculate the area of the barge and convert weights from tonnes to kilograms. Questions arise regarding the final height of water displacement and the necessary calculations to find it.

Discussion Status

Some participants have provided insights into the relationship between the weight of the coal and the volume of water displaced, while others are exploring how to calculate the height of the displacement. There is acknowledgment of a conversion error that affected one participant's calculations.

Contextual Notes

Participants are working under the constraints of typical physics homework rules, focusing on the principles of buoyancy and displacement without providing direct solutions.

j_suder2
Messages
14
Reaction score
0

Homework Statement


A Mississippi river barge is 65m long and 20m wide. How far will it sink into the water when 3000 tonnes of coal is placed on it?


Homework Equations


rho=m/v, L x W = A,


The Attempt at a Solution



I figured out the area of the barge in contact with the water, then converted the tonnes to kilograms. I used this to get the volume of coal taken off. (I think that works).
I guess from here I need to use the density of water to see how much is displaced by that amount of coal, and then determine the height of water this would correspond to.
I'm stuck at this last part.
 
Physics news on Phys.org
Weight of water displaced = weight of coal, which means,
Volume displaced of water (not coal) X density of water = weight of coal.

Density of water can be taken to be 1000 kg/m^3.
 
Ok so I can find the volume of water, I'm still having trouble finding the height of the displacment,
Thanks
 
Height*length*width = voulme.
 
Thanks,
I just had the wrong conversion from tonnes to kg's
 

Similar threads

Does Dropping the Anchor Affect the Barge's Water Displacement?
  • · Replies 20 ·
Replies
20
Views
2K
How Deep Will a Barge Sit When Moving from Saltwater to Freshwater?
  • · Replies 4 ·
Replies
4
Views
2K
How much deeper does the barge lower?
  • · Replies 3 ·
Replies
3
Views
5K
Solved: Calculating Barge Rise from 7 Tonnes of Grain Removed
  • · Replies 9 ·
Replies
9
Views
2K
Energy from Waste: How Much Electricity Can 230M Tonnes Produce?
  • · Replies 6 ·
Replies
6
Views
3K
Solve Bouyancy Question: Max People in Crate Before Sinking
  • · Replies 13 ·
Replies
13
Views
2K
Undergrad How to convert density ratio of grams/ mm^3 into metric tonnes/ m^3
  • · Replies 6 ·
Replies
6
Views
2K
How many tanks can a 150 ft. barge carry without sinking more than 1 ft?
  • · Replies 2 ·
Replies
2
Views
4K
How Deep Does a Ferry Sink with Added Weight?
  • · Replies 1 ·
Replies
1
Views
2K
How Does Buoyancy Affect Balance Scale Readings?
  • · Replies 4 ·
Replies
4
Views
3K