Why is the pressure different at points X and Y?

In summary, the conversation discusses the calculation of pressure and direction of force on a vessel containing a liquid of density p at various points. It also explains why the pressure is the same at certain points and different at others due to the difference in densities of the liquids.
  • #1
Taniaz
364
1

Homework Statement


a)Consider the vessel in the figure shown. It contains a liquid of density p. Calculate the pressure, and give the direction of the force on the container due to the liquid, acting at each of the following points.

b) Consider the second figure shown. Why is the pressure the same at point C and D?
Why is the pressure at point X and Y different?

Homework Equations


P=pgh

The Attempt at a Solution


a) I'm not sure what the pressure is at point B. Sometimes I think the pressure is 0 but sometimes I think the pressure is P=pg(h1-h2) because the pressure is the same at all points on a horizontal plane.

b) The pressure at C and D is the same because they're at the same horizontal level.
The pressure at X and Y is different because they lie in different liquids (oil and water) so the density is different therefore the pressure is different?
 

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  • #2
Taniaz said:
but sometimes I think the pressure is P=pg(h1-h2) because the pressure is the same at all points on a horizontal plane.
Sometimes you are correct. ;)

Taniaz said:
The pressure at X and Y is different because they lie in different liquids (oil and water) so the density is different therefore the pressure is different?
Correct.

In the same fluid at the same height, the pressure must be the same.
 
  • #3
Thank you! :smile:
 

1. What is pressure due to a liquid?

Pressure due to a liquid is the force exerted by a liquid on an object or surface. It is caused by the weight of the liquid above the object or surface.

2. How is pressure due to a liquid calculated?

The pressure due to a liquid can be calculated using the formula P = ρgh, where P is the pressure, ρ is the density of the liquid, g is the acceleration due to gravity, and h is the height of the liquid.

3. What is the relationship between pressure and depth in a liquid?

The pressure in a liquid increases with depth. This is because as the depth increases, the weight of the liquid above the object or surface also increases, resulting in a greater pressure.

4. How does the density of a liquid affect pressure?

The density of a liquid directly affects the pressure it exerts. A denser liquid will exert a greater pressure, while a less dense liquid will exert a lower pressure.

5. How is pressure due to a liquid different from pressure due to a gas?

Pressure due to a liquid is caused by the weight of the liquid above an object or surface, while pressure due to a gas is caused by the collisions of gas molecules with the object or surface. Additionally, the pressure in a liquid increases with depth, while the pressure in a gas is the same at all depths.

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