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In this lesson, we will learn how to use Pascal's principle to analyze the magnitude and direction of fluid pressure on an object.
Q1:
A cubic container holds water. The lid of the container can be pushed downward, exerting pressure on the water in the container. Which of the following statements most correctly describes how the pressure exerted by the water is changed when the lid is pushed downward?
Q2:
A bag attached to an intravenous drip holds saline solution that has a density of 2 1 6 0 kg/m3. The bag is 15 cm in height and full to the top. The solution flows from the drip through a hole of area 0.785 cm2 and passes through the tube into a cannula that has an opening of area 0.0225 cm2.
What is the magnitude of the force exerted by the saline solution at the hole at the base of the drip bag? Give your answer to two decimal places.
What is the magnitude of the force exerted by the saline solution at the cannula? Give your answer to three decimal places.
Q3:
A tall and thin water container has holes in its side at different heights above the ground, as shown in the diagram. Water leaks from the holes in the container and only the leak from hole ๐ด is shown. The leaks from the different holes travel different distances sideways from the water container. From which hole would the water travel farthest away from the container?
Q4:
A container that is 1.2 m under the sea, near the shore, is full of water of density 1 0 2 0 kg/m3. The container is suspended above the sea bed on a pole. The container is 3.5 m in height. Water can enter and leave the container through three holes in its walls and one hole in its base, as shown in the diagram. Water pressure is increased gradually at one of the holes in the walls until the pressure there is 7 5 0 0 Pa.
Is the pressure ๐ 1 greater than, less than, or equal to 7 5 0 0 Pa?
Is the pressure ๐ 2 greater than, less than, or equal to 7 5 0 0 Pa?
Is the pressure ๐ 3 greater than, less than, or equal to 7 5 0 0 Pa?
Q5:
Water in a container is pushed horizontally by a movable wall of the container, as shown in the diagram. The movable wall has sides of length ๐ฟ = 0 . 2 5 2 m and ๐ฟ = 0 . 7 5 3 m . Within the water in the container is a square metal sheet with sides of length 0.125 m. The sheet is supported by a pole so that all of its downward-facing surface is in contact with the liquid apart from a small area that the pole fits through. The water pushes the sheet when the containerโs movable wall is moved. The force applied to the movable wall is equal to the force applied to the water by the wall.
What is the magnitude of the force due to the motion of the movable wall that pushes upward on the downward-facing surface of the metal sheet? Ignore the area of the hole where the pole passes through the sheet.
What is the magnitude of the force due to the motion of the movable wall that pushes downward on the upward-facing surface of the metal sheet? Ignore the area of the hole where the pole passes through the sheet.
Q6:
Water in a container is pushed horizontally by a movable wall of the container, as shown in the diagram. Inside the water-filled part of the container is a square metal sheet with sides of length 0.25 m. The base of the sheet is attached to the floor of the container, keeping the sheet vertically oriented. The water pushes the sheet when the containerโs movable wall is moved. The movable wall has sides of lengths ๐ฟ = 0 . 2 5 2 m and ๐ฟ = 0 . 7 5 3 m . The force applied to the movable wall is equal to the force applied to the water by the wall.
What is the magnitude of the force that pushes the surface of the metal sheet that faces the movable wall?
What is the magnitude of the force that pushes the surface of the metal sheet that faces away from the movable wall?
Q7:
A solid object falls through water of density 1 0 0 0 kg/m3. At the instant that the top of the object is 25 cm below the waterโs surface, the water exerts a pressure on the top, bottom, and side of the object, as shown in the diagram.
Find ๐ 1 .
Find ๐ 2 .
Find ๐ 3 .
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