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

  • Thread starter Thread starter j_suder2
  • Start date Start date
AI Thread Summary
To determine how deep a Mississippi river barge sinks when loaded with 3000 tonnes of coal, the area of the barge in contact with water is calculated first. The weight of the coal is converted from tonnes to kilograms, facilitating the calculation of the volume of water displaced. The relationship between the weight of the coal and the volume of water displaced is established using the density of water, which is 1000 kg/m^3. The final step involves calculating the height of water displacement using the formula for volume, which is height multiplied by length and width of the barge. The discussion highlights the importance of accurate unit conversion for successful calculations.
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
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanged mass'

Thread 'A cylinder connected to a hanged mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

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

Hot Threads

Recent Insights

Back
Top