U-shaped tube- how far does the mercury rise when water is poured into one side?

Click For Summary
When water is poured into one side of a U-shaped tube containing mercury, the pressure exerted by the water column must equal the pressure difference in the mercury columns. The water column is 15.0 cm deep, which creates a specific pressure that affects the mercury levels. To find how far the mercury rises in the right arm, the pressure from the water must be calculated and matched with the mercury's pressure difference. This involves using the equations for pressure, factoring in the densities of water and mercury. Ultimately, the solution requires equating the pressures to determine the mercury's rise in the right arm.
kalisious
Messages
13
Reaction score
0
U-shaped tube-- how far does the mercury rise when water is poured into one side?

Homework Statement


A U-shaped tube containing mercury is open to the air on both ends. Water is poured into one arm until the water column is 15.0 cm deep. How far upward from the initial position does the mercury in the right arm rise?


Homework Equations


P = P0+density(gh)
P = P0+(density*h)(g)


The Attempt at a Solution


I am not sure how to go about this solution!
 
Physics news on Phys.org


The pressure from the water column must match the pressure from the difference in the mercury columns. Once you know this difference it's easy to find how much the mercury in the right arm has risen.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

Similar threads

  • · Replies 18 ·
Replies
18
Views
7K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 13 ·
Replies
13
Views
3K
Replies
4
Views
4K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 1 ·
Replies
1
Views
14K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
8
Views
4K