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physics Physics For High Schools (KS4)

Solved problems for the chapter:

Pressure in Liquids

The chapter does not contain theoretical materials.

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Detailed solution steps are available at:

https://en.openprof.com/wb/chapter:pressure_in_liquids/5052/

Example 1.

Which quantities, in addition to the acceleration of free fall , affect the pressure at the bottom of a pond of water?

the density of the water and the depth of the pond only
the density of the water and the surface area of the pond only
the depth of the pond and the surface area of the pond only
the depth of the pond, the density of the water and the surface area of the pond

Example 2.

The diagram shows a deep reservoir formed by a dam.

On what does the pressure at X depend?

the depth of the water at X
the length of the reservoir
the surface area of the water
the thickness of the dam wall

A pipe full of water connects a water supply on a hill to a tap lower down the hill. The length of the pipe is , the height of the supply above the tap is and the density of the water is . The effect of atmospheric pressure is negligible. What is the water pressure at the tap?

A dam holds water in a reservoir. The height of the water in the reservoir is .

The density of water is . What is the pressure due to the water at the bottom of the dam?

Liquid is stored in a tank. The area of the base of the tank is and the pressure at the base due to the liquid is . What is the weight of the liquid?

The diagram shows a tank containing sea water.

The density of the sea water is . What is the pressure at point P relative to atmospheric pressure?

above atmospheric pressure
above atmospheric pressure
above atmospheric pressure
above atmospheric pressure

A measuring cylinder of cross-sectional area contains of liquid. The pressure of the liquid at the base of the measuring cylinder due to the liquid is . What is the density of the liquid?

Liquid of mass is contained in a rectangular tank. The area of the base of the tank is . What is the pressure exerted by the liquid on the base of the tank?

The diagram shows three glass containers. All three contain water filled to the same vertical height .

The base area of P is equal to the base area of R. The base area of Q is larger than the other two. Students are asked to compare the water pressure at the bottom of each container.

Student 1 says that the pressure at base R is more than the pressure at base P.

Student 2 says that the pressure at base Q is less than the pressure at base P.

Student 3 says that the pressures at all three bases are the same.

Which students are correct?

none are correct
1 only
2 only
3 only

10.

The diagram shows a tank full of water.

The mass of water in the tank is , the density of the water is , and the height of water in the tank is . Which equation gives the pressure due to the water at the bottom of the tank?

11.

A beaker contains a liquid.

On what does the liquid pressure at position X depend?

both the density of the liquid and the depth of X below the surface
both the surface area of the liquid and the depth of X below the surface
both the surface area of the liquid and the volume of the liquid
the depth of X below the surface only

12.

The pressure due to the liquid on an object immersed in that liquid is . The density of the liquid is . What is the depth of the object below the surface of the liquid?

13.

An object is below the surface of a liquid. The pressure due to the liquid at this depth is . What is the density of the liquid?

14.

An object is below the surface of a liquid. The density of the liquid is . What is the pressure on the object due to the liquid?

15.

The density of mercury is . What is the pressure at the bottom of a column of mercury that has a height of ?

16.

Two beakers are filled to the same depth, one with water and one with oil. The density of water is and the density of oil is . In which position is the pressure the greatest?

17.

A submarine is below the surface of the sea. The pressure due to the water at this depth is . On another day, the submarine is below the surface of fresh water. The density of sea water is 1.3 times the density of fresh water. What is the pressure due to the fresh water at a depth of ?

18.

Four identical beakers are filled with equal volumes of liquids P or Q, as shown. Liquid P is more dense than liquid Q. At which point is the pressure the least?

19.

A submarine is in water of density . The submarine changes its depth. This causes the pressure on it to change by . What is the change in depth of the submarine?

20.

Diagram 1 shows a conical flask containing water.

Diagram 2 shows a beaker with the same base area as the flask and containing water of the same depth .

Which statement is correct?

The pressure at P is equal to the pressure at X.
The pressure at P is greater than the pressure at Y.
The pressure at P is greater than the pressure at X.
The pressure at Y is greater than the pressure at X.

21.

A column of liquid has height , mass and density . The gravitational field strength is . Which expression gives the pressure due to the column of liquid?

22.

The diagram shows a dam holding back water. The depth of the water is . The density of the water is and the gravitational field strength is . What is the pressure exerted at the base of the dam due to the water?

23.

The diagram shows a conical vessel full of water. The pressure at point X due to the water is . A point Q is a distance above point X.

Which graph shows how the pressure due to the water at Q varies with distance ?

24.

The diagram shows three vases each with the same base area. Each vase contains water of the same depth.

Which statement about the water pressures at points P, Q, and R is correct?

The pressure at point P is the greatest.
The pressure at point Q is the least.
The pressure at point R is the greatest.
The pressures at points P, Q, and R are the same.

25.

Four different liquids are poured into four containers. The diagrams show the depth and the density of liquid in each container. In which container is the pressure on its base the greatest?