# Homework Help: Height of the loaded barge -

1. May 9, 2006

Height of the loaded barge - urgent

Hi

Got a question to prepare for my exams tomorow.

A barge of mass m and area A is loaded with sand of mass M. What is the difference in water line between the empty and the loaded barge.

Regards.

2. May 9, 2006

Height of the loaded barge - urgent

Hi

Got a question to prepare for my exams tomorow.

A barge of mass m and area A is loaded with sand of mass M. What is the difference in water line between the empty and the loaded barge.

Regards.

3. May 9, 2006

### eep

You're not going to get an answer faster by posting in multiple forums.

4. May 9, 2006

### Tide

HINT: The buoyant force equals the weight of water displaced.

5. May 11, 2006

Sorry, this topic really is difficult for me - what would be the solution?

thanks a lot for the help

6. May 11, 2006

### Staff: Mentor

Look up Archimedes' principle and buoyant force. (Tide gave you the big hint.)

7. May 11, 2006

### Staff: Mentor

Please give the OP the opportunity to do his own work.

8. May 11, 2006

### Curious3141

We try not to do the work wholesale for the poster.

9. May 15, 2006

Density * H1* A = m => H1 = m /(density*A)
Density * H2 *A = m+ M => H2 = (m+M)/(density*A)

hence
H2 - H1 = height difference = m / (density *A)

is this correct?

10. May 15, 2006

### Curious3141

That should be a big "M" (mass of sand) in the answer right? If so, it's correct.

BTW, remember to state that the new waterline (with sand) is higher up the barge than the old one, even if it seems obvious. Otherwise the answer isn't complete.

Last edited: May 15, 2006