College Board · AP Physics 1

AP Physics 1: Fluids — Practice Questions & Answers

Density, pressure with depth, buoyancy, Pascal's principle, continuity, and Bernoulli's equation for ideal fluid flow.

210 practice questions available for this unit — here are 10 with full answers and explanations.

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Practice questions with answers

1 Multiple choice · Easy

Which expression correctly defines the density of a substance?

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WhyDensity is mass per unit volume, rho = m / V, with SI units of kg/m^3.
2 Multiple choice · Easy

Pressure is defined as the magnitude of the force exerted perpendicular to a surface divided by which quantity?

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WhyPressure P = F / A, where F is the perpendicular force and A is the area over which it acts. The SI unit is the pascal (Pa = N/m^2).
3 Multiple choice · Easy

A solid object is fully submerged in water. According to Archimedes' principle, the buoyant force on the object equals which of the following?

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WhyArchimedes' principle states the buoyant force equals the weight of the fluid displaced by the object, F_b = rho_fluid * V_displaced * g.
4 Multiple choice · Easy

As you descend deeper into a lake, the pressure exerted by the water on you does what?

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WhyGauge pressure in a static fluid increases with depth as P = rho * g * h, so deeper means greater pressure.
5 Fill in the blank · Easy

The SI unit of pressure, equal to one newton per square meter, is called the .

Answer: pascal / Pa

WhyOne pascal (Pa) is defined as 1 N/m^2.
6 Fill in the blank · Easy

An object floats in a fluid when the upward force balances the downward force of gravity on the object.

Answer: buoyant / buoyancy

WhyFor floating equilibrium, the buoyant force equals the object's weight.
7 Multiple choice · Medium

A cube of metal has a mass of 2.4 kg and a side length of 0.10 m. What is its density?

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WhyVolume = (0.10)^3 = 1.0e-3 m^3, so rho = 2.4 / 1.0e-3 = 2400 kg/m^3.
8 Multiple choice · Medium

What is the gauge pressure at a depth of 5.0 m below the surface of fresh water (rho = 1000 kg/m^3, g = 10 m/s^2)?

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WhyP = rho * g * h = 1000 * 10 * 5.0 = 50000 Pa.
9 Multiple choice · Medium

A hydraulic lift has a small piston of area 0.0050 m^2 and a large piston of area 0.50 m^2. If a force of 100 N is applied to the small piston, what force is exerted by the large piston?

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WhyBy Pascal's principle the pressure is equal: F2 = F1 * (A2/A1) = 100 * (0.50/0.0050) = 10000 N.
10 Multiple choice · Medium

Water flows through a horizontal pipe that narrows from a cross-sectional area of 0.040 m^2 to 0.010 m^2. If the speed in the wide section is 2.0 m/s, what is the speed in the narrow section?

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WhyBy continuity A1 v1 = A2 v2: v2 = (0.040 * 2.0) / 0.010 = 8.0 m/s.

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Key terms in Fluids

Fluid: A substance that flows and takes the shape of its container, including both liquids and gases.
Density: The mass of a substance per unit volume, indicating how tightly matter is packed together.
Mass density formula: Density equals mass divided by volume (rho = m/V), measured in kg/m^3.
Volume: The amount of three-dimensional space that a substance or object occupies, measured in m^3.
Specific gravity: The ratio of a substance's density to the density of water, a dimensionless comparison value.
Density of water: The standard reference density of liquid water, approximately 1000 kg/m^3.
Pressure: The amount of force applied perpendicular to a surface divided by the area of that surface.
Pressure formula: Pressure equals force divided by area (P = F/A), measured in pascals.

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