Density & Pressure (College Board AP® Physics 1: Algebra-Based): Exam Questions

39 mins20 questions
1a
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2 marks

Describe an ideal fluid.

1b
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3 marks

Water has a density of 1000 kg/m3. Calculate the mass of 200 cm3 of water.

1c
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3 marks

A book with surface area 10 A and mass mrests on a table with area 500 A. A man presses on the book with his finger, which has an area 0.1 A. The magnitude of the force exerted is F and is at an angle theta from vertical.

Determine an expression for the pressure experienced by the table. Write your expression in terms of A, F, m, theta and physical constants as appropriate.

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2a
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2 marks

m subscript A of fluid A occupies a volume of V subscript A, while m subscript B of fluid B occupies a volume of V subscript B.

The two fluids are then combined and mixed. Determine an expression for the density of the mixture.

2b
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2 marks

A pressure sensor is placed a depth h below the surface of the mixture. The atmospheric pressure is P subscript 0.

Determine an expression for the pressure increase experienced by the sensor between the surface and depth h. Write your expression in terms of m subscript A, m subscript B, V subscript A, V subscript B, h, P subscript 0 and physical constants as appropriate.

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3a
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1 mark
Diagram of a vertical cylinder with points A on top, B and C on the side, and D at the base level, illustrating different positions on the cylinder.

Figure 1

Four points are shown in Figure 1. These are in and around a container filled with water.

State which point experiences the greatest pressure.

3b
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1 mark

Point B is 300 cm below the surface of the water.

Calculate the pressure at point B.

The density of water is 1000 kg/m3.

3c
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2 marks

A thin sheet of metal is placed at point B. The sheet has a surface area of 0.025 m2.

Calculate the weight of the region of water directly above the sheet of metal.

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1a
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2 marks
Cylindrical container is half-filled with liquid. The container rests on a table.

Figure 1

A group of students are given a cylindrical container half filled with a liquid of unknown density rho. The students have access to an additional container with more of the same liquid, meter sticks, and a pressure sensor. They do not have access to a scale.

The students are asked to take measurements to create a graph that could be used to determine the density of the liquid. Describe an experimental procedure the students could use to collect the data needed to determine the density of the liquid. Include any steps necessary to reduce experimental uncertainty. If needed, you may include a simple diagram of the setup with your procedure.

1b
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2 marks

Describe how the data collected in part a) could be plotted to create a linear graph and how that graph would be analyzed to determine the density rho of the liquid.

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2a
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2 marks

A group of students are given a beaker with a spout and several irregular objects made from the same material. They also have access to a ruler, a scale, a measuring cylinder and a supply of water.

Students are asked to take measurements to create a graph that could be used to determine the density of the material.

Describe an experimental procedure the students could use to collect the data needed to determine the density of the object. Include any steps necessary to reduce experimental uncertainty. If needed, you may include a simple diagram of the setup with your procedure.

2b
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2 marks

Describe how the data collected in part a) could be plotted to create a linear graph and how that graph would be analyzed to determine the density rho of the material.

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