AP Physics 2: Algebra-Based FRQ Room
Ace the free response questions on your AP Physics 2: Algebra-Based exam with practice FRQs graded by Kai. Choose your subject below.
Knowt can make mistakes. Consider checking important information.
AP Physics 2: Algebra-Based Free Response Questions
The best way to get better at FRQs is practice. Browse through dozens of practice AP Physics 2: Algebra-Based FRQs to get ready for the big day.
Airflow Over an Airplane Wing via Bernoulli's Equation
Airflow over an airplane wing results in a pressure difference that contributes to lift. Answer the
Analyzing Fluid Flow in a River System
A river exhibits variations in cross-sectional area and flow speed along its course. Measurements at
Analyzing Pressure in a U-Tube Manometer
A U-tube manometer utilizes two different fluids (water and mercury) to measure pressure differences
Application of Bernoulli's Equation
In a horizontal pipe, a pump forces water (density $$1000\;kg/m^3$$) from point 1 into a constricted
Average Hydrostatic Pressure on a Submerged Plate
A rectangular plate measuring 2 m in width and 1.5 m in height is submerged vertically in water (den
Bernoulli's Data Analysis
An experiment is conducted where a fluid flows through a horizontal pipe. A graph showing the variat
Bernoulli’s Equation and Venturi Meter
A Venturi meter is installed in a pipe to measure fluid flow. The meter provides different pressure
Bernoulli's Equation in a Constricting Pipe
In a pipe system, water is pumped at a constant flow rate. The pipe gradually constricts so that at
Bernoulli's Flow Analysis
This problem applies Bernoulli's equation to analyze changes in fluid pressure due to variations in
Bernoulli's Pressure-Velocity Analysis
In a fluid dynamics experiment, water is pumped through a horizontal pipe that gradually narrows. Th
Bernoulli's Principle in Lift Generation
Aircraft wings generate lift in part due to differences in airspeed above and below the wing. (a) Ex
Buoyancy Analysis: Floating and Sinking Objects
A laboratory study on buoyancy involves placing an object in a container of ethyl alcohol. The objec
Buoyancy and Fractional Submersion
An object with a mass of $$150\,kg$$ and a volume of $$0.75\,m^3$$ is placed in a liquid of density
Buoyancy and Submerged Volume
An object with a mass of $$150 \cdot kg$$ and a volume of $$0.75 \cdot m^3$$ is placed in a fluid wi
Buoyancy and Volume Fraction Analysis
A researcher studies buoyancy by examining how much of an object is submerged when floating. The exp
Buoyancy Experiment with Incorrect Variable Substitution
A student designs an experiment to determine the fraction of an object's volume that is submerged wh
Buoyancy in Marine Vessel Design
A researcher studies how buoyancy principles are applied to ensure that marine vessels float.
Buoyancy in Multi-fluid Systems
This problem examines buoyancy when an object is in contact with two immiscible fluids, requiring de
Centrifugal Effects on Fluid Pressure Distribution
A fluid with density $$\rho = 800 \; kg/m^3$$ is contained in a cylindrical container and rotated wi
Channel Flow Dynamics Analysis
A researcher examines fluid flow in a channel with varying cross-sectional areas, applying the conti
Continuity Equation Experimental Variation
The continuity equation predicts that the flow rate in a pipe remains constant. An experiment measur
Continuity Equation in a Variable Diameter Pipe
A circular pipe carries water with an initial section having a radius of 2 cm and a flow speed of 6
Designing a Pipeline: Balancing Pressure and Flow Rate
An engineering project requires designing a pipeline to transport water over long distances. Changes
Designing a Water Distribution System using the Continuity Equation
An engineering water distribution system uses a main pipe which eventually splits into several branc
Designing a Water Fountain: Pressure and Flow
A landscape architect is designing a water fountain and needs the water jet to reach a maximum heigh
Determining Object Volume through Fluid Displacement
A student in a laboratory measures the volume of an irregularly shaped stone by submerging it in wat
Dynamic Pressure and Nozzle Flow
An industrial nozzle is designed to eject a high-speed jet of water. The inlet pressure is measured
Effect of Pipe Diameter on Flow Velocity: A Scaling Study
Design an experiment to determine how changes in pipe diameter affect the flow velocity of a fluid u
Effect of Temperature on Fluid Density and Pressure
A container holds a fluid that is heated from 20°C to 80°C, causing its density to decrease from 100
Energy Conversion in Hydraulic Systems
Hydraulic systems utilize fluid flow to convert energy and perform work. As fluid flows, energy is t
Exploring Buoyancy in Variable Fluid Densities
A block with a volume of $$0.5\,m^3$$ and a mass of $$400\,kg$$ is placed in two different fluids. I
Floating Object Buoyancy
An object has a mass of 150 kg and occupies a volume of 0.75 m³. It is floating in ethyl alcohol wit
Flow in an Open Channel: Continuity and Energy Considerations
Water flows in an open channel that narrows from a width of 4.0 m to 2.0 m. In the wider section, th
Graphical Analysis of Flow Speed Variation
A researcher has collected experimental data on the relationship between a pipe's cross-sectional ar
Graphical Analysis of Fluid Flow Data
A team of students measures the fluid velocity at various positions along a pipe with a varying cros
Hydrostatics: Force on Submerged Surfaces
A rectangular plate measuring $$2\,m \times 1\,m$$ is submerged vertically in water (density = 1000
Industrial Fluid Density and Pressure Calculation
A researcher in an industrial laboratory is studying fluid properties for engineering applications.
Investigating Air Flow and Aerodynamic Lift
Design an experiment using a wind tunnel to investigate how wing curvature affects aerodynamic lift
Investigating Air Pressure Changes with Altitude
A researcher measures atmospheric pressure at different altitudes to study its variation with elevat
Investigating Fluid Pressure with a Manometer
A researcher employs a U-tube manometer to measure the gauge pressure in a pressurized system using
Modeling Pressure as a Function of Depth in a Fluid
A graduate student models the pressure distribution in a tank filled with a liquid of constant densi
Non-Uniform Fluid Acceleration in a Varying Pipe
Consider a horizontal pipe whose cross-sectional area changes along its length. A segment of the pip
Optimization of Fluid Flow in Industrial Piping Systems
An industrial piping system includes a segment where the pipe narrows from a diameter of 0.3 m to a
Pressure Changes with Altitude
Atmospheric pressure decreases with altitude. A graph shows measured pressures at various altitudes.
Pressure Distribution in an Accelerating Container
A rectangular container filled with water (density $$1000\;kg/m^3$$) is accelerated horizontally at
Pressure Measurements in a Deep Lake
A diver uses a pressure sensor to measure the absolute pressure at various depths in a deep lake. Th
Pressure Variation in a Swimming Pool
Consider a swimming pool with a uniform depth of 2.5 m filled with water (density $$\rho = 1000 \; k
Pump Work Analysis in a Closed Fluid Circuit
In a closed fluid circuit, a pump is used to circulate water so that it maintains a constant flow ra
Quantitative Analysis of Pressure Distribution in an Accelerating Fluid
A rectangular container with a length of $$2 \cdot m$$ is filled with water (density = $$1000 \cdot
Reynolds Number and Flow Regime Analysis
In an experiment, water flows through a pipe with a diameter of $$0.05\,m$$ at a velocity of $$2.0\,
Structural Column Pressure
This question examines the calculation of pressure exerted by a vertical structure and how variation
Submerged Object Buoyant Force Evaluation
A hollow cylindrical object is partially submerged in water. Its cross-sectional area is 0.1 m² and
Submerged Volume Determination Error in Buoyancy Experiment
A student designs an experiment to determine what fraction of an object's volume is submerged when i
Surface Pressure Analysis of a Column
A vertical column of cement has a base area of $$0.5\,m^2$$, a height of $$2\,m$$, and a density of
Temporal Flow Rate Analysis from an Experimental Graph
A student records the flow speed of water through a pipe over a 30-second interval. The graph shows
Viscosity Impact on Pipe Flow Rates
An experiment was conducted to investigate the effect of fluid viscosity on flow rates in identical
Adiabatic Process Calculations
An ideal gas undergoes an adiabatic expansion, meaning that no heat is exchanged with the surroundin
Adiabatic vs. Isothermal Process Comparison
A gas transitions between the same initial and final states via two different processes: an adiabati
Analysis of a Composite Thermodynamic Cycle
A gas undergoes a composite cycle consisting of an isobaric expansion, an adiabatic compression, and
Analysis of a P-V Diagram for Isothermal and Adiabatic Processes
This question examines a P-V diagram that displays two distinct thermodynamic processes: one isother
Analysis of Work Done in Cyclic Processes
In a cyclic thermodynamic process, the net work done by the system is equal to the area enclosed by
Calorimetry Experiment: Measuring Specific Heat Capacity Using Temperature Changes
Calorimetry is used to measure the specific heat capacity of substances. Design an experiment using
Comparative Study of Heat Transfer Modes in Earth's Atmosphere
Understanding heat transfer in the Earth’s atmosphere is crucial for climate modeling. The three pri
Comparing Heat Transfer Mechanisms: Conduction vs Convection in Fluids
Heat can be transferred via conduction and convection in fluids. Design an experiment to isolate and
Designing a Controlled Experiment for Ideal Gas Behavior
A scientist is planning an experiment to test the Ideal Gas Law $$PV = nRT$$ under controlled condit
Designing a Heat Engine for Maximum Efficiency
A researcher is designing an idealized Carnot heat engine operating between a high-temperature reser
Determining Molecular Mass of a Gas via Ideal Gas Law Measurements: Experimental Design
The molecular mass of a gas can be determined by measuring its pressure, volume, temperature, and th
Entropy Change and the Second Law of Thermodynamics
During a reversible isothermal expansion of an ideal gas, the entropy change is described by the equ
Entropy Change in a Heating Process
An ideal gas (1 mole) undergoes a reversible isobaric process in which its temperature increases fro
Entropy Changes in Thermodynamic Processes
Consider an ideal gas that undergoes an isothermal expansion from an initial volume $$V_1$$ to a fin
Evaluating Experimental Error in the Ideal Gas Law Measurements
A laboratory experiment uses measured values of pressure, volume, and temperature to calculate the n
Evaluating Heat Transfer Mechanisms in a Fluid System
A fluid heating system employs both convection and radiation to transfer heat from a furnace to an a
Evaluating the Role of Pressure Differences in Atmospheric Applications
A high-altitude weather balloon collects data on atmospheric pressure as it ascends. The recorded da
Experimental Design for Gas Effusion
Graham's law states that the rate of effusion of a gas is inversely proportional to the square root
First Law of Thermodynamics in a Closed System
An experiment on a closed system records the changes in internal energy, heat added, and work done o
Gas Diffusion and Molecular Speed Distribution
The rate of diffusion in gases is significantly influenced by the molecular speed distribution. (a)
Heat Engine Efficiency Experiment Error
In an experiment designed to measure the efficiency of a heat engine, a student records the amount o
Heat Engine Efficiency in Different Thermal Reservoir Conditions: Experimental Design
The efficiency of a heat engine depends on the temperatures of its high-temperature and low-temperat
Heat Engines and Maximum Efficiency
No heat engine can achieve 100% efficiency due to inherent energy losses. (a) Explain why complete c
Investigating Adiabatic Expansion in a Piston
A piston containing an ideal gas is allowed to expand adiabatically. In this process, no heat is exc
Isothermal vs. Adiabatic Processes
In a laboratory experiment, a gas is compressed in a piston under two different conditions: one proc
Maxwell-Boltzmann Distribution Analysis
The Maxwell-Boltzmann distribution provides a statistical description of the speeds of molecules in
Non-Ideal Gas Behavior and Real Gas Equations
A researcher observes that at high pressures, real gases deviate from ideal behavior. To account for
Real Gas Behavior vs. Ideal Gas Law: Experiment Design to Evaluate Deviations
While the ideal gas law (PV = nRT) works well for many gases, real gases deviate from this behavior
RMS Velocity and Temperature
The RMS (root-mean-square) velocity of molecules in an ideal gas is given by $$v_{rms} = \sqrt{\frac
Statistical Interpretation of Gas Behavior
The kinetic theory of gases connects microscopic molecular behavior with macroscopic properties. Two
Thermal Equilibrium and the Zeroth Law
Thermal equilibrium is a key concept in thermodynamics. (a) Define thermal equilibrium and its relat
Thermodynamic Process Comparison: Isothermal vs Adiabatic
Consider an ideal gas undergoing two different expansion processes: an isothermal expansion and an a
Thermodynamic Processes and Energy Changes
Many thermodynamic processes involve changes in volume, pressure, and temperature. Consider an ideal
Work Done in Thermodynamic Processes
The following P–V diagram represents two different paths between the same initial state (point a, $$
Analysis of Electric Dipole Field Measurements
An experimental setup measures the electric field magnitude at various distances along the perpendic
Analyzing Electric and Gravitational Forces in a Hydrogen Atom
In a hydrogen atom, the proton has a mass of $$1.6 \times 10^{-27} \; kg$$ and a charge of $$+e$$, a
Analyzing Electric Field Variation Above a Charged Plate
An experiment measured the electric potential at various distances from a large, uniformly charged p
Capacitor Energy Storage Experiment
A laboratory experiment investigates the energy stored in a parallel-plate capacitor. In this experi
Capacitor Network Analysis in Series and Parallel
In a circuit, three capacitors are connected as follows: capacitor C1 (4 μF) is connected in series
Charge Induction on Conductors vs. Insulators
A charged rod is brought near two spheres—one made of a conductor and one made of an insulator—that
Charging an RC Circuit
Consider an RC circuit connected to a 12 V battery. The circuit consists of a resistor with resistan
Charging Methods and Redistribution of Charge
Two identical, initially neutral conducting spheres are brought into contact. Then, a positively cha
Comparing Charging Methods: Friction, Conduction, and Induction
Design an experiment to compare the efficiency and outcome of charging objects through friction, con
Coulomb’s Law in Different Media
A study investigates how the presence of various media affects the force between two point charges,
Derivation of Potential Difference Between Concentric Equipotential Surfaces
The electric potential due to a point charge is given by $$V = \frac{k \times Q}{r}$$. Using this re
Deriving Capacitance from Physical Dimensions
A parallel-plate capacitor is constructed with a plate separation $$d$$ and plate area $$A$$ in vacu
Design of a Charging by Induction Experiment
Two initially neutral conducting spheres are to be charged by induction. Design an experiment to dem
Diagram Analysis: Electric Field Lines and Equipotentials in a Dipole
The following diagram represents an electric dipole configuration. It shows two charges located on t
Dipole Electric Field Analysis
Consider an electric dipole formed by two point charges of equal magnitude $$|Q| = 4.0 \times 10^{-9
Distance Dependence in Coulomb's Law
Coulomb's Law quantitatively describes the force between two point charges as inversely proportional
Electric Field Due to a Dipole
A dipole consists of two point charges: $$+4.0 \times 10^{-9} \; C$$ and $$-4.0 \times 10^{-9} \; C$
Electric Field due to a Point Charge in Different Media
Consider a point charge Q = 2.0 × 10⁻⁹ C placed in free space.
Electric Field Lines and Equipotential Mapping Misinterpretation
In a laboratory experiment, a student is tasked with mapping electric field lines and equipotential
Electric Potential Dependence Experiment
An experiment is conducted to measure the electric potential at various distances from a fixed point
Electric Potential Difference in a Radial Field
A point charge Q = 1.0 × 10⁻⁹ C produces an electric field in space. A test charge is moved from poi
Electrostatic Shielding
A researcher investigates the phenomenon of electrostatic shielding by placing a charged rod near a
Energy Conversion in Point Charge Interaction
A fixed positive charge $$Q = +2.0 \times 10^{-6} \; C$$ creates an electric field in vacuum. A nega
Force Balance in a Uniform Electric Field
A researcher studies a small object of mass $$5 \; g$$ in a vertical, uniform electric field produce
Impact of a Dielectric on a Capacitor's Properties
A parallel-plate capacitor with a plate separation of $$1.0\,mm$$ and plate area of $$0.05\,m^2$$ is
Induction Charging Experiment: Charge Redistribution Oversight
An experiment is conducted to study charging by induction using two initially uncharged metal sphere
Kinetic Energy Gain from Electric Potential Energy Loss
A negative charge of magnitude q = -1×10⁻⁸ C is released from rest at a distance of 10 cm from a fix
Kinetic Energy Gain of a Test Charge in a Non-Uniform Electric Field
A test charge of $$q = +5.0 \times 10^{-9}\,C$$ is released from rest at a distance of $$0.20\,m$$ f
Motion of a Charged Particle in a Non-Uniform Electric Field
A particle with charge \(q\) and mass \(m\) moves into a region where the electric field varies with
RC Circuit Charging
A researcher investigates the charging behavior of a capacitor in an RC circuit. The circuit contain
RC Circuit: Charging a Capacitor
A capacitor with a capacitance of $$100\,\mu F$$ is connected in series with a resistor of $$10\,k\O
Setup of a Uniform Electric Field Using Parallel Plates
Design a laboratory experiment to create a uniform electric field using two parallel plates and to m
Square Charge Configuration
A researcher sets up a square configuration in vacuum with four point charges placed at the corners
Superposition of Forces in a Square Configuration
Four equal positive point charges are placed at the vertices of a square. A negative charge is place
Work and Potential Difference in a Uniform Electric Field
A positive charge of $$+1.0*10^{-2}$$ C is moved a distance of 0.15 m in the direction of a uniform
Analysis of a Mixed Resistor Circuit
A battery with an EMF of $$12 \text{ V}$$ is connected to a circuit consisting of a $$4 \Omega$$ res
Analysis of Current Flow in a Circuit with Mixed Components
An experiment involves a circuit that includes a combination of resistors and a capacitor branch. Th
Analysis of Non-Ohmic Behavior in Materials
Some materials do not obey Ohm’s Law under certain conditions, exhibiting non-ohmic behavior. Answer
Analyzing Transients in RC Circuits with Switching
Consider a circuit where a capacitor, initially uncharged, is connected in series with a resistor an
Application of Kirchhoff’s Junction and Loop Rules
Consider a circuit where three branches intersect at a junction. Two branches carry currents $$I_1$$
Basic Circuit Analysis: Applying Ohm's Law
A battery providing $$9~V$$ is connected to a single resistor with a resistance of $$10~\Omega$$. An
Battery Internal Resistance and Terminal Voltage
This question investigates the effects of a battery's internal resistance on its terminal voltage wh
Battery Internal Resistance and Terminal Voltage Analysis
A battery can be modeled as an ideal electromotive force (EMF) in series with an internal resistance
Capacitor Charging in an RC Circuit
In an RC circuit, a capacitor is charged by connecting it to a battery through a resistor. Consider
Capacitor Combination Analysis
Two capacitors, one with $$10\,\mu F$$ and the other with $$20\,\mu F$$, are arranged in different c
Capacitors in Series and Parallel: Equivalent Capacitance Analysis
An experiment is performed using two identical capacitors each with capacitance $$C = 5\;F$$. They a
Charging Behavior of an RC Circuit
A capacitor with capacitance $$C = 5 \text{ F}$$ is charged through a resistor of $$R = 3 \Omega$$ b
Circuit Analysis Using Kirchhoff's Laws
Consider a circuit with a battery of $$12\,V$$ connected to a series resistor $$R_1 = 4\,\Omega$$, w
Design and Analysis of a Flash Circuit for a Camera
A camera flash circuit uses a capacitor with capacitance $$C = 100\,\mu F$$, charged by a 300 V batt
Design and Analysis of a Resistivity Measurement Experiment
A student plans to measure the resistivity $$\rho$$ of a metallic wire. The wire is of uniform cross
Designing a Circuit for a Specific Equivalent Resistance
You are provided with resistors of values 50 Ω, 100 Ω, 200 Ω, and 400 Ω. Your task is to design a ci
Designing a Circuit for Specific Power Dissipation
You are tasked with designing a simple circuit that will dissipate 4.5 W of power across a resistor
Determining Equivalent Resistance in Mixed Resistor Networks
A circuit is constructed using three resistors: one resistor of 100 \(\Omega\), one of 200 \(\Omega\
Determining Resistivity of Various Materials
Resistance (R) and resistivity (\(\rho\)) are related by the expression $$R = \rho*\frac{l}{A}$$. Yo
Determining Resistivity through Experimental Measurements
A researcher studies a uniform wire made of an unknown material. The wire has a length of 2 m and a
Determining the Capacitance Variation Through Geometric Changes
A student explores how the geometry of a parallel-plate capacitor affects its capacitance. The exper
Effect of a Discharged Capacitor on Parallel Resistor Branches in an RC Circuit
In an experiment, an initially uncharged (discharged) capacitor is connected in parallel with two re
Effect of Dielectric on Capacitance in a Parallel-Plate Capacitor
A parallel-plate capacitor with plate area A and separation d is initially filled with air (dielectr
Effect of Wire Cross-Sectional Area on Resistance
Resistance in a wire is given by the formula $$R = \rho \frac{l}{A}$$, where A is the cross-sectiona
Effects of a Variable Resistor on Circuit Behavior
A variable resistor is used in a series circuit powered by a 15V battery.
Effects of Altering Capacitance on a Charged Capacitor
A capacitor with an initial capacitance of $$10\,\mu F$$ is charged to $$12\,V$$ by a battery, and t
Electromotive Force and Terminal Voltage under Load
This problem explores the relationship between a battery's true electromotive force (EMF), its inter
Evaluating a Modified Ammeter Design for Improved Accuracy in Low-Current Measurements
A claim has been made that a newly designed ammeter with ultra-low internal resistance provides sign
Evaluating Conductance and its Relationship to Resistance
Electrical conductance, the reciprocal of resistance, is an important parameter in circuit analysis.
Evaluation of Energy Storage in a Capacitor
A capacitor with a capacitance of 10 μF is charged to a potential difference of 12 V.
Experimental Circuit Measurements Analysis
A researcher records experimental data from a circuit using a voltmeter and an ammeter. The data is
Impact of Temperature on Capacitance in a Dielectric-Filled Capacitor
The capacitance of a parallel-plate capacitor is given by $$C = k * ε_0 * \frac{A}{d}$$, where k is
Measuring Electric Current and Voltage in a Simple Circuit
In a simple circuit consisting of a battery, a resistor, and connecting wires, you are asked to inve
Multi-loop Circuit Analysis: Equivalent Resistance Calculation
Consider a circuit with two interconnected loops sharing a common resistor. Loop 1 contains a batter
Multiple Energy Sources in a Complex Circuit
Consider a complex circuit composed of two branches connected in parallel. The details for each bran
Non-Ohmic Behavior in Real-World Devices
Some devices, such as filament bulbs or semiconductors, exhibit non-ohmic behavior, meaning their V-
Ohm's Law and Circuit Analysis
A circuit consists of an ideal battery with an EMF of 12 V and a resistor of 6 Ω. First, assume the
Power Dissipation in Resistive Circuits
A resistor with a resistance of $$10\,\Omega$$ is connected to a $$9\,V$$ battery. Answer the follow
Power Dissipation in Resistors
In circuits, resistors convert electrical energy into heat. This problem explores the concept of pow
Resistivity and Material Properties Experiment
A student investigates the influence of material properties on resistance by measuring wires made of
Series and Parallel Resistor Analysis
This question examines the behavior of resistors arranged in series and parallel in simple circuits.
Transient and Steady State Analysis in RC Circuit
Consider an RC circuit with a resistor $$R = 1\times10^3\,\Omega$$, a capacitor $$C = 10\,\mu F$$, a
Transient Behavior in RC Circuit: Initial vs Steady-State
An RC circuit is constructed with a $$12~V$$ battery, and two branches: one branch contains a $$6~\O
Transient Response in an RC Circuit with Multiple Resistors
Design and analyze a more complex RC circuit that includes multiple resistors in series and parallel
Understanding Charging and Discharging Curves of Capacitors
In an experiment, a capacitor is alternately charged by connecting it to a battery and then discharg
AC Generator Induced EMF Analysis
Consider an alternating current generator where a coil of $$N$$ turns and area $$A$$ rotates in a un
Analysis of Experimental Data in a Motional EMF Investigation
In an experiment, a sliding conductor is moved through a uniform magnetic field at various speeds, a
Analyzing Induced EMF with Sinusoidal Variation
Consider a loop in which the magnetic flux varies sinusoidally over time, described by $$\Theta_B(t)
Angular Dependence of Magnetic Force
A series of experiments measures the magnetic force on a charged particle moving in a constant magne
Assessing Iron Dust Experiments for Bar Magnets
A study uses iron dust to demonstrate that the magnetic field inside a bar magnet is continuous and
Balancing Forces on a Current-Carrying U-Shaped Wire
In a laboratory experiment, a U-shaped wire is immersed in a region with a uniform magnetic field th
Calculating the Magnetic Field Around a Current-Carrying Wire
A long, straight wire carrying a steady current produces a magnetic field in the space around it. Us
Charged Particle in a Uniform Magnetic Field
A positively charged particle with charge $$q = 2.0 * 10^{-6}$$ C enters a region with a uniform mag
Circular Motion of a Charged Particle in a Magnetic Field
A particle with charge $$q = 0.1 C$$ and mass $$m = 0.02 kg$$ enters a uniform magnetic field $$B =
Combined Effects of Motion and Rotation in a Varying Magnetic Field
A loop of wire is simultaneously moving linearly and rotating while situated in a time-varying magne
Design and Analysis of a Railgun
Railguns use magnetic forces to accelerate projectiles. In this problem, analyze the principles behi
Designing a Magnetic Speed Sensor Using Motional EMF
In a laboratory experiment, a metal rod moves through a uniform magnetic field of strength $$B = 0.5
Determination of Solenoid Current through Field Measurements
Students aim to determine the current flowing through a solenoid by measuring the magnetic field ins
Effect of Magnetic Field Strength on Induced Current
Design an experiment to explore how varying the magnetic field strength affects the induced current
Force on a Moving Charge in a Magnetic Field
A charged particle moves in a uniform magnetic field. Consider a scenario where the particle moves w
Force on Wire and Its Dependence on Current
An experiment measures the magnetic force on a current-carrying wire in a fixed magnetic field for d
Graphical Analysis of Magnetic Flux Change
This FRQ involves analyzing experimental data on magnetic flux change over time, determining the ind
Induced EMF in a Time-Varying Solenoid Field
A solenoid with 300 turns and a cross-sectional area of 0.05 m² produces an axial magnetic field tha
Investigating Magnetic Induction in a Sliding Conductor
Design an experiment to study magnetic induction in a conductor that slides along conductive rails p
Magnetic Field from a Current-Carrying Wire
Consider a long, straight wire carrying an electric current. Answer the following regarding the magn
Magnetic Field Lines Visualization
In this FRQ, you will explore the physical basis and representation of magnetic fields around a bar
Magnetic Field vs. Distance Experiment
A researcher measures the magnetic field strength around a long, straight current-carrying wire at v
Magnetic Flux Change in a Sliding Rod Circuit
A rectangular circuit has one side that is a conducting rod sliding in a uniform magnetic field. Ana
Magnetic Force Cancellation in a U-Shaped Wire
A U-shaped wire is immersed in a uniform magnetic field of $$0.5\;T$$. The report claims that by pas
Magnetic Permeability and Field Mapping
A researcher investigates the effect of material magnetic permeability on the distribution of magnet
Mapping Magnetic Field Lines using Computer Simulation
Students use a computer simulation to model the magnetic field lines around a bar magnet and analyze
Mapping the Magnetic Field of a Current-Carrying Wire
Design an experiment to map the magnetic field produced by a long, straight current-carrying wire an
Motional EMF in a Sliding Bar Circuit
A U-shaped rail of length 1 m is connected by a sliding conductive bar, forming a rectangular circui
Motional EMF in a Sliding Rod
A conducting rod moving through a uniform magnetic field experiences a motional electromotive force
Rotating Coil Induced Current
A coil consisting of N turns and area A rotates in a uniform magnetic field of strength B with a con
Solenoid Magnetic Field
This FRQ explores the magnetic field inside a solenoid through derivations, calculations, and concep
Time-Dependent Induced EMF in a Rotating Loop
Design an experiment to investigate how the induced emf in a rotating loop varies over time, particu
U-Shaped Wire Current Balance
A researcher studies a U-shaped wire with three segments (two vertical legs and one horizontal segme
Uniform Field of a Solenoid
A researcher studies the magnetic field produced by a solenoid. Measurements of the magnetic field a
Uniform Magnetic Field in a Solenoid
A solenoid of length $$L = 0.5 m$$ has $$N = 500$$ turns and carries a current of $$I = 2 A$$. a)
Vector Cross Product in Magnetic Force
The magnetic force on a moving charge is given by a vector cross product. Analyze this vector relati
Advanced Thin Lens Systems in Compound Microscopes
A compound microscope uses two converging lenses: an objective lens with a focal length of $$f_o = 0
Analysis of Polarization and Malus' Law
This question explores the concept of polarization, quantitative analysis using Malus' law, and requ
Aperture Diffraction Analysis
A rectangular aperture with a width of $$0.5*10^{-3}$$ m and a height of $$1*10^{-3}$$ m is illumina
Combined Lens System Analysis
A two-lens system consists of a converging lens with focal length $$f_1 = 30 \text{ cm}$$ and a dive
Concave Mirror Image Analysis
An object of height $$h_o = 4 \ cm$$ is placed at a distance of $$d_o = 30 \ cm$$ in front of a conc
Converging Lens Ray Tracing
A converging lens has a focal length of $$15\,cm$$. An object is placed $$20\,cm$$ from the lens. An
Converging Thin Lens Image Formation
A researcher sets up a converging lens with a focal length of $$15$$ cm to project an image. An obje
Convex Mirror Image Formation
An object of height $$5 \text{ cm}$$ is placed $$20 \text{ cm}$$ in front of a convex mirror with a
Curved Mirror and Lens Combination in Optical Instruments
Design a simplified optical instrument that incorporates a concave mirror and a converging lens. Ans
Designing a Periscope: Light Path Analysis
A researcher is tasked with designing a periscope using plane mirrors to redirect light so that an o
Determining Index of Refraction Using Critical Angle Measurements
A student conducts an experiment to determine the index of refraction of a transparent material by m
Diffraction Grating Analysis
A diffraction grating with 5000 slits per centimeter is illuminated by monochromatic light of wavele
Diffraction Gratings Analysis
A diffraction grating with 5000 lines per centimeter is used to analyze sodium light with wavelength
Diffraction Gratings and Wavelength Measurement
A diffraction grating with 5000 lines per centimeter is used in an experiment to measure the wavelen
Diverging Lens: Image Formation Analysis
This question involves analyzing image formation by a diverging lens using the thin lens equation an
Effect of Medium on Electromagnetic Wave Propagation: Experiment Design
Design an experiment to investigate how different media affect the propagation speed of electromagne
Electromagnetic Spectrum Frequency Calculation
A researcher is exploring the electromagnetic spectrum. The researcher is working with green light,
Electromagnetic Wave Propagation in Different Media
An experiment measured the speed of light in various media. The table below presents the recorded sp
Energy and Intensity of Electromagnetic Waves
For electromagnetic waves, the intensity is proportional to the square of the amplitude of the elect
Experimental Evaluation of the Electromagnetic Spectrum
Researchers often use a variety of techniques to measure the properties of electromagnetic radiation
Image Formation by Convex Mirrors
A convex mirror has a focal length of $$20\,cm$$. An object is placed $$30\,cm$$ in front of the mir
Image Formation in Plane Mirrors
Consider a scenario where a person stands in front of a plane mirror at a distance $$d$$ from the mi
Interference in Thin Films
A researcher studies the colorful interference patterns observed in a thin soap film, where film thi
Interference Patterns in Thin Films
A thin oil film (with refractive index n = 1.3) lies on water (n = 1.33) and is illuminated with whi
Interference with Variable Slit Separation: Observing the Changes in Fringe Spacing
Design an experiment to investigate how varying the separation between slits in a double slit appara
Lens Power Calculation
When an object is placed 10 cm from a converging lens, a real image is formed that is twice the heig
Lens Power Determination Based on Image Size
This question requires you to determine the power of a converging lens based on the magnification ob
Lens-Mirror Combination Instrument
A researcher designs an optical instrument that integrates a converging lens with a focal length of
Optical Instrument Design: Telescope Model
A researcher is designing a simple astronomical telescope that employs a converging objective lens a
Optical Sensors in Environmental Monitoring
Environmental scientists are developing optical sensors to monitor particulate matter in water. The
Oscillating Charges and the Generation of EM Waves
An oscillating charge is a fundamental source of electromagnetic radiation. This problem involves ex
Photon Energy Calculation in the Electromagnetic Spectrum
This question involves using fundamental relations in quantum physics to calculate the energy of pho
Polarization and Electromagnetic Wave Behavior
In an experiment testing polarization, a polarizer is rotated and the transmitted light intensity is
Ray Tracing for Converging Lenses and Mirrors
This question involves constructing ray diagrams for optical instruments. (a) Draw and label a ray
Reflection and Refraction: Snell's Law
A beam of light traveling in air (with an index of refraction, n = 1.0) strikes a glass surface (n =
Single Slit Diffraction Analysis
A student conducts an experiment to investigate the diffraction pattern produced by a single slit. T
Single-Slit Diffraction: Experimental Error Analysis
In an experiment aimed at studying single-slit diffraction, a student sets up a coherent light sourc
Thin Film Interference
A thin film of oil (index $$n = 1.25$$) rests on water (index $$n = 1.33$$). White light is incident
Thin Lenses: Converging Lens Analysis
In an experiment involving a converging lens, measurements were taken for various object distances.
Thin Lenses: Diverging Lens Analysis
An object of height 11 cm is placed 48 cm in front of a diverging lens with a focal length of $$-24.
Total Internal Reflection and Critical Angle
Consider a beam of light traveling within water (with index of refraction $$n_{water} = 1.33$$) that
Total Internal Reflection at Air-Water Interface
Light traveling within water (with an index of refraction $$n_{water} \approx 1.33$$) approaches the
Young’s Double Slit Experiment Analysis
A double slit experiment is set up with two narrow slits separated by $$d = 1.5 * 10^{-3}$$ m, a scr
Trusted by millions
Everyone is relying on Knowt, and we never let them down.
Need to review before working on AP Physics 2: Algebra-Based FRQs?
We have over 5 million resources across various exams, and subjects to refer to at any point.
Browse top AP materials
We’ve found the best flashcards & notes on Knowt.
Explore top AP flashcards
Flashcards (30)Explore top AP notes
Note Tips from Former AP Students
FAQ
We thought you might have some questions...
- Of course, make sure to run through College Board's past FRQ questions!
- Once you’re done with those go through all the questions in the AP Physics 2: Algebra-BasedFree Response Room. You can answer the question and have it grade you against the rubric so you know exactly where to improve.
- Reddit it also a great place to find AP free response questions that other students may have access to.