## A community for students. Sign up today

Here's the question you clicked on:

## anonymous one year ago A rectangular barge 7 m long and 2 m wide floats in fresh water. How much will the barge sink when loaded with 600 kg of sand? Show all calculations leading to an answer.

• This Question is Closed
1. anonymous

@sleepyjess @Michele_Laino

2. Michele_Laino

here we have to apply the Principle of Archimede

3. anonymous

I think the answer is 40mm"

4. anonymous

Water Density = 1,000kg/m^3 600/1,000= .6m^3 Area = 15m^2 V= (L)(W)(D)= .6^3 D= .6m^3/15m^2 = .04m = 40mm"

5. Michele_Laino

If I call with "h" the sinking level, then we can write: $\Large LWh\delta g= Mg$ where: L is the length of the barge, W is the width of the barge \delta is the density of water g is gravity M is the mass of the loaded sand

6. Michele_Laino

is 600 Kg the mass of the sand ot its weight?

7. Michele_Laino

or*

8. Michele_Laino

I think that M=600 Kg is the mass of the sand

9. anonymous

yeah i think mass

10. Michele_Laino

so we get: $\Large h = \frac{M}{{LW\delta }} = \frac{{600}}{{7 \times 2 \times 1000}} = ...$

11. Michele_Laino

what is h?

12. anonymous

the depth of sinking?

13. Michele_Laino

yes!

14. anonymous

In mine i hade it D

15. anonymous

Made*

16. Michele_Laino

I got: $\Large h \cong 43\;mm$

17. Michele_Laino

so, you are right!

18. anonymous

Yay!

19. Michele_Laino

:)

20. anonymous

When a steadily-flowing gas flows from a larger-diameter pipe to a smaller-diameter pipe, what causes the pressure in the smaller pipe to drop? Use 3 – 4 complete sentences to explain your answer.

21. anonymous

do you know this? lol

22. Michele_Laino

if we can neglect all loss of energy of the gas, then we can apply the Principle of Bernoulli furtermore we can apply the equation of continuity

23. anonymous

@kaitlynmcurtis Bernoulli's principle states that the same V/s of fluid flowing will remain the same. If the radius of a pipe drops, then then the fluid has to travel faster through the pipe in order to maintain the same Volume per second... the only way the fluid can move faster is if there is a pressure drop from the larger pipe into the smaller pipe. Hope the helps!

24. Michele_Laino

for example, the equation of continuity is: $\Large {A_1}{v_1} = {A_2}{v_2}$ |dw:1434221385263:dw| A is the cross sectional area v is the speed of the gas

25. Michele_Laino

so when the cross sectional area is minimum, then the speed of the gas is maximum

26. Michele_Laino

I have assumed that the density of our gas doesn't change as we go from section #1 to section #2

27. Michele_Laino

next the Principle of Bernoulli is: $\Large gz + \frac{P}{\delta } + \frac{{{v^2}}}{2} = const$ where g is gravity, and z is the geodesic height

28. anonymous

I think I got this one done, could you guys help me with another? @cramos725 @Michele_Laino

29. Michele_Laino

|dw:1434221789810:dw|

30. Michele_Laino

ok!

#### Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy