AP Physics 1: Algebra-Based FRQ Room
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AP Physics 1: Algebra-Based Free Response Questions
The best way to get better at FRQs is practice. Browse through dozens of practice AP Physics 1: Algebra-Based FRQs to get ready for the big day.
Acceleration Calculation
This question involves calculating acceleration and comparing motion to free-fall conditions. Answer
Analysis of a Velocity vs. Time Graph (Non-Uniform Acceleration)
Examine the velocity vs. time graph provided and answer the following questions about the object's m
Analysis of Position vs. Time Graph for Kinematic Insights
A student obtained a Position vs. Time graph with a quadratic relationship. Answer the following que
Analyzing a Cyclist's Journey
A cyclist's route is divided into five segments with the following details: | Segment | Distance (k
Analyzing Non-Uniform Acceleration from a Velocity-Time Graph
This question challenges you to analyze a velocity-time graph with non-uniform acceleration. Refer t
Angled Motion Analysis: Component Breakdown
A ball is thrown with an initial speed of 20 m/s at an angle of 30° above the horizontal. Analyze it
Calculating Displacement from a Velocity-Time Graph
A velocity vs. time graph is provided for an object with a linearly decreasing velocity given by $$v
Car Crash Analysis: Motion Under Deceleration
During a crash simulation, a car decelerates uniformly from 25 m/s to 0 m/s in 4 seconds. Analyze th
Centripetal Acceleration in Circular Motion
An object moves in uniform circular motion at a constant speed of $$10 \; m/s$$ along a circle with
Circular Motion: Speed vs Velocity
A runner completes one lap around a circular track with a circumference of 400 m at a constant speed
Comparing Scalar and Vector Descriptions in Motion
A delivery drone follows a route consisting of four segments: 2 km east, 3 km north, 2 km west, and
Deriving the Relationships Among the BIG FIVE Equations
Derive one of the kinematic equations used in uniformly accelerated motion. Answer the following ste
Distance vs. Displacement Analysis
A researcher records the motion of a runner who follows a multi-segment track. The runner starts at
Effect of Air Resistance on Downward Motion Experiment
In this experiment, two objects with identical masses but different shapes (a flat plate and a spher
Effect of Launch Angle on Projectile Motion
A projectile is launched with an initial speed of 25 m/s at two different angles: 30° and 60°. Analy
Effects of Friction on Motion
A block is sliding on a horizontal surface with an initial speed of 12 m/s. Due to friction, the blo
Evaluating the Impact of Reaction Time on Car Stopping Distance
A study examines how reaction time contributes to the overall stopping distance of a car. Answer the
Exploring Non-Uniform Acceleration Through Variable Force Application
Some systems experience non-uniform acceleration when variable forces are applied. Design an experim
Free Fall and Acceleration: Analyzing Data
An object is dropped from rest, and its displacement is recorded at various time intervals. Using th
Friction Effects on Uniform Motion: Velocity Decay Study
A report claims that an object moving horizontally experiences zero net force and maintains constant
Graphical Analysis of a Parabolic Trajectory
A video analysis of a projectile's motion results in a graph that shows a parabolic trajectory. Anal
Inclined Plane Experiment: Impact of Angle on Acceleration
Design an experiment using an inclined plane to measure how the angle of the incline affects the acc
Instantaneous vs. Average Speed
An object’s position as a function of time is given by $$x(t) = 2 * t^3 - 5 * t^2 + t + 10$$, with x
Interpreting Position vs. Time Graphs
A position vs. time graph for a moving object is provided. Use the graph to answer the following:
Lab Report Analysis: Measuring Time of Flight for a Thrown Ball
A lab report describes an experiment in which the time of flight of a ball thrown horizontally was m
Laboratory Measurement of Gravitational Acceleration
A student performs an experiment to determine the acceleration due to gravity (g). The following dat
Motion on an Inclined Plane
A block slides down a frictionless inclined plane with a constant acceleration. Analyze its motion a
Multi-phase Problem on Uniformly Accelerated Motion with Multiple Phases
A car undergoes a three-phase journey: it accelerates from rest, cruises at constant speed, and then
Non-Uniform Acceleration and Displacement
An object's velocity changes in a non-uniform manner over time. Given the velocity function $$v(t)=t
Oscillatory Motion of a Mass on a Spring
A mass on a spring oscillates horizontally on a frictionless surface with a position function given
Position vs. Time Graph Analysis
A position vs. time graph of an object’s motion displays two distinct segments: one linear and one c
Projectile Motion in Sports: Analyzing a Soccer Kick
A sports article claimed that a soccer ball kicked with an initial speed of $$v_0 = 30$$ m/s at an a
Projectile Motion with Varying Launch Speeds
A researcher investigates how changes in the launch speed $$v_0$$ affect the range of a projectile l
Projectile Motion: Analyzing Maximum Height
In a high-speed camera experiment, a projectile is launched at an angle and its maximum height is de
Projectile Motion: Maximum Height Determination
A ball is launched at different angles while keeping the initial speed constant. The maximum heights
Scalar vs. Vector: Lab Report Analysis
A student lab report claims that a measured value of 50 m represents both the distance traveled and
Speed vs. Velocity: An Object's Journey
An object moves in four segments as given in the table below. Analyze the object's motion by calcula
Understanding the Impact of Initial Conditions in Uniform Acceleration
Two objects, A and B, are subject to uniform acceleration. Object A is released at t = 0 with an ini
Uniform Acceleration with the BIG FIVE Equations
A car accelerates uniformly from rest.
Uniform Acceleration with Variable Initial Velocities
Two vehicles start moving with different initial velocities but share the same constant acceleration
Uniformly Accelerated Car Motion
A car starting from rest accelerates uniformly over a period of 8 seconds. The following table recor
Uniformly Accelerated Motion and BIG FIVE Equations Lab
A lab experiment involves releasing a cart from rest down a ramp to study uniformly accelerated moti
Uniformly Accelerated Motion Calculations
A car undergoes two phases of motion on a straight road. First, it accelerates uniformly from rest,
Uniformly Accelerated Motion: Car Acceleration
A car starts from rest and accelerates uniformly. The following table shows the car's velocity measu
Vector Addition in Displacement Measurement Error
A student conducts an experiment where a robot moves in two distinct straight-line segments with a c
Vector Addition of Forces
A block is pulled by two forces applied at different angles. Answer the following parts.
Vibrational Motion and Simple Harmonic Motion (SHM) Experiment
A mass-spring system is used to investigate simple harmonic motion. The period of oscillation is rec
Analysis of a Two-Force Pulley System
In a pulley system, a 4 kg block rests on a 40° inclined plane with a kinetic friction coefficient o
Analysis of Force Components on an Inclined Ramp with a Pulley
A researcher investigates a system where a mass on an inclined ramp is connected by a rope over a pu
Centripetal Force and Circular Motion Experiments
A researcher conducts a turntable experiment to measure the centripetal force acting on an object in
Comparative Analysis of Gravitational and Inertial Mass
An experiment is conducted to compare an object's gravitational mass with its inertial mass. In one
Comparing Gravitational and Inertial Mass
This question addresses the relationship and differences between gravitational mass and inertial mas
Designing a Pulley System to Study Accelerated Motion
Develop an experimental design using an Atwood machine (a pulley system with two masses) to measure
Designing a Safety Mechanism in Vehicle Dynamics
In a car collision scenario, forces experienced by passengers can be extremely high over a short tim
Determining Net Force from Component Forces
A force sensor measures the components of the forces acting on an object. The data below represent t
Dynamics Experiment 8: Elastic Collision Force Impulse
In a laboratory experiment on elastic collisions, a student uses force sensors to record the impulse
Dynamics FRQ #2: Tension in a Pulley System
Two masses are connected by a rope over a frictionless pulley system. Mass $$m_1 = 3.0\,kg$$ hangs o
Dynamics in a Non-Inertial Reference Frame
Consider a 70 kg person inside an elevator that is accelerating upward with an acceleration $$a_e$$.
Dynamics in a Two-Dimensional Force System
A 5 kg block is subjected to two forces: Force A of 20 N at 30° above the horizontal and Force B of
Dynamics of a Rolling Object on an Incline
A solid sphere of mass $$m = 0.5 * (kg)$$ and radius $$r = 0.1 * (m)$$ rolls without slipping down a
Dynamics of a Sports Car: Acceleration and Friction
A sports car with a mass of $$m = 1500 * kg$$ is designed to accelerate from rest to $$30 * m/s$$ in
Dynamics of a Spring-Loaded Cart
Design an experiment where a spring-loaded cart is launched by a compressed spring. The objective is
Equilibrium on an Inclined Plane with Static Friction
A block rests on an inclined plane which makes an angle \(\theta\) with the horizontal. The block is
Examining the Role of Inertial Mass in Acceleration
A cart on an air track is propelled by a constant force from a motor. By varying the cart’s mass usi
Experimental Determination of Object Mass using Acceleration Data
A cart on a nearly frictionless track is pulled by a constant force in several experiments. The acce
Force Diagram and Modeling a Hanging Mass System
A mass hangs from a rope attached to a support. A researcher examines how additional loads affect th
Forces in Equilibrium
Analyze a system in static equilibrium and determine unknown forces acting on it.
Friction and Normal Force
Investigate the relationship between frictional force and the normal force in various scenarios.
FRQ5: Dynamics on an Inclined Plane
A cart is allowed to slide down a nearly frictionless inclined plane at varying angles. Study the da
FRQ6: Analyzing Frictional Forces
An experiment measures the frictional force on a moving object for different normal forces. Use the
FRQ11: Multi-Force System Dynamics
A block is subjected to multiple forces simultaneously: an applied force, friction, and a tension fo
Gravitational Forces on Different Planets
Using the gravitational force equation $$F= G*\frac{m_1*m_2}{r^2}$$, analyze how varying planetary m
Gravitational vs. Inertial Mass Comparison
Newton's laws involve both gravitational and inertial mass. Consider experiments where these masses
Interpreting a Diagram with Force Discrepancies
A diagram is provided that purports to show all the forces acting on a block on a sloped surface, bu
Investigating Circular Motion on a Banked Curve
A car negotiates a banked curve with radius $$r = 50 * (m)$$ and bank angle $$\theta = 20^\circ$$. A
Investigating the Equivalence of Gravitational and Inertial Mass
Design an experiment to compare measurements of gravitational mass and inertial mass, thereby testin
Investigation of Applied Force Effects
Design an experiment to investigate how varying magnitudes of an applied force affect the accelerati
Mass-Spring System and Damping Forces
A mass-spring system consists of a mass $$m = 0.5 * kg$$ attached to a spring with spring constant $
Newton's Third Law: Analysis of Action-Reaction Forces
A collision experiment is conducted where two objects interact over a short interval of time. A grap
Projectile Motion and Dynamics Analysis
An object is launched into projectile motion. Neglect air resistance and assume that gravity is the
Projectile Motion and Launch Angle Optimization
Design an experiment to study projectile motion by varying the launch angle, with the aim of determi
Quantitative Analysis of Tension in a Dual-Pulley System
In a dual-pulley system experiment, it was claimed that the tensions measured in the rope deviate fr
Role of Friction in Dynamic Systems
A block of mass \(m\) slides down a ramp inclined at an angle \(\theta\). The system is influenced b
Spring Force and Acceleration
In a lab experiment, a spring is used to apply a force on an object. The extension of the spring is
Spring Scale Measurement of Net Force
Students perform an experiment where they attach a spring scale to a block on a horizontal surface t
Tension and Acceleration in a Pulley System
A frictionless pulley system connects two masses, $$m_1$$ and $$m_2$$, with $$m_1 < m_2$$. The syste
Tension in an Elevated Cable System
A load with weight $$W = 9800\; N$$ is being lifted by a system of cables. In one configuration, the
Analyzing Data: Impact of Variable Speed on Centripetal Force
In a lab experiment, a 0.5 kg mass is whirled in a circle, and the tension in the string (which prov
Analyzing Satellite Motion
A space agency collects data on satellite orbital parameters. The data table shows the orbital radiu
Artificial Gravity in a Rotating Space Station
A rotating space station creates artificial gravity through centripetal acceleration. Answer the fol
Ball on a String: Uniform Circular Motion Analysis
A student sets up an experiment to analyze uniform circular motion using a ball attached to a string
Calculating Centripetal Force in a Rotating Space Station
A rotating space station is designed to simulate Earth-like gravity by providing centripetal acceler
Car Dynamics on a Circular Track
A car is rounding a circular curve with a constant speed. The car’s speed is 20 m/s and the radius o
Centripetal Force in a Banked Curve
A car rounds a banked curve where the road is inclined at a certain angle, and friction is negligibl
Centripetal Motion on a String
A ball of mass 0.5 kg is attached to a 1.5 m long string and swung in a horizontal circle at constan
Comparing Gravitational and Electric Force Effects
A series of experiments compare the magnitudes of gravitational and electric forces between pairs of
Comparing Orbital Motion with Circular Motion on Earth
A comparative study has compiled data from satellites in orbit and vehicles navigating circular test
Conical Pendulum Analysis
A conical pendulum consists of a small bob of mass m attached to a string of length L, making a cons
Deriving the Relationship between Force, Mass, and Circular Motion
Using the concept of centripetal acceleration, derive the formula that relates centripetal force to
Designing a Controlled Experiment to Distinguish Gravitation from Electromagnetism
A scientist wishes to design an experiment to distinguish gravitational forces from electric forces
Escape Velocity Derivation
A satellite must achieve escape velocity to break free from a planet’s gravitational field. Using en
Experimental Validation of Gravitational Law
Free-fall experiments were conducted at various altitudes to measure gravitational acceleration. The
Free-Body Diagram and Force Analysis for Circular Motion
A 1 kg mass is whirled on a horizontal table in a circular path by a string attached to a fixed pivo
Free-Fall Analysis Near a Spherical Body
An object is dropped from rest near the surface of a spherical body with mass $$M$$ and radius $$R$$
Gravitational Force in Planetary Orbits
This problem explores the gravitational force acting on satellites by using Newton's law of universa
Investigating the Impact of Air Resistance on Circular Motion Experiments
A student performing an experiment on uniform circular motion notices that the measured centripetal
Investigation of Free-Fall Motion
In a vacuum chamber, objects are dropped from a known height of 20 m. The recorded free-fall times f
Mass on a String Undergoing Vertical Circular Motion
A ball attached to a string is swung in a vertical circle of radius $$r$$. (a) Draw free-body diagra
Misinterpretation of Free Fall and Centripetal Forces in Lab
A student conducts simultaneous experiments on free fall and circular motion, expecting that the acc
Multi-Part Analysis of a Rotational Dynamics Experiment
In an experiment studying rotational dynamics, measurements of tangential speed, centripetal acceler
Orbit Simulation: Satellite Motion and Gravitational Force
Design a simulation-based experiment to study how the orbital period of a satellite changes with its
Pendulum Period Variations and Gravitation
A pendulum clock is used to measure local gravitational acceleration by observing its period. The pe
Planetary Orbital Period Comparison
Consider two planets orbiting the same star. Using Newton’s law of universal gravitation and circula
Radius Change and its Effect on Centripetal Acceleration
A car travels at a constant speed of 20 m/s around a circular track. Answer the following:
Satellite Orbit Calculation
A satellite orbits a planet in a uniform circular orbit. (a) Derive an expression for its orbital sp
Simulating Satellite Re-entry: The Role of Atmospheric Drag
Design a simulation experiment to analyze how atmospheric drag influences a satellite's orbital deca
Tension and Acceleration in Circular Motion
A 0.5 kg ball is attached to a string and is swung in a horizontal circle at a constant speed of 4 m
Uniform Circular Motion in a Conical Pendulum
A conical pendulum consists of a mass attached to a string that rotates in a horizontal circle, form
Analysis of Energy Conservation in Free-Fall Motion
A ball is dropped from various heights and its speed just before impact is recorded using a motion s
Analysis of Work with Variable Force and Angle
An object is pulled along a horizontal surface using a rope. However, both the magnitude of the appl
Analyzing the Impact of Applied Force Angle on Efficiency
A 30 kg crate is pulled on a horizontal surface in two different scenarios. In scenario A, the rope
Calculating Work at an Angle
A sled is pulled along a horizontal surface by a rope that makes an angle of 40° with the horizontal
Calculating Work on an Inclined Surface
A 10 kg box is pushed up a frictionless ramp inclined at 30° to the horizontal using a constant forc
Car Braking and Energy Dissipation
A 1200 kg car traveling at 20 m/s applies its brakes and comes to a stop in 5 s.
Comparing Power Ratings of Motors
An electric motor with a power rating of $$500 W$$ performs $$200 J$$ of work during a task. Answer
Comparing Work and Efficiency in Lifting Methods
In a study comparing two lifting methods, one using a mechanical crane and the other manual human li
Complex Analysis of Work in Variable Force Fields
A variable force given by $$F(x)= 20 + 4*x$$ (in N) is applied to a cart over a displacement of 5 m.
Conservation of Mechanical Energy in a Roller Coaster
A roller coaster car with a mass of 500 kg is released from rest at the top of a hill of height 20 m
Conservation of Mechanical Energy on a Roller Coaster
A researcher is studying a frictionless roller coaster. A car of mass $$m = 500 \; kg$$ is released
Determination of Engine Power in a Towing Experiment
A student sets up an experiment to calculate the power output of an engine towing a sled. The appara
Determination of Power Output in a Vertical Lift
A researcher measures an athlete’s performance lifting a 50 kg weight vertically upward by 2 m in 5
Determining the Efficiency of a Simple Machine
Students design an experiment using a pulley system to lift a load. The input work (force times disp
Energy Conservation in a Roller Coaster
A roller coaster car of mass $$500\;kg$$ is released from rest at the top of a hill of height $$20\;
Energy Dissipation in a Collision
Analyze the experimental data from an inelastic collision that shows changes in kinetic energy befor
Energy Efficiency of a Machine
A machine receives an energy input of $$1000 J$$ and converts part of this energy into useful work.
Energy Transfers in a Bungee Jump
A bungee jumper with a mass of $$70\,kg$$ jumps from a bridge $$50\,m$$ above the river and reaches
Evaluating the Impact of Nonconservative Forces in a Pendulum
A simple pendulum is released from rest at a height of $$1.00\,m$$ above its lowest point. Due to ai
Frictional Work Analysis on a Moving Block
A researcher pushes a 2 kg block on a rough horizontal surface. The block has an initial speed of $$
Frictional Work in a Daily Commute
A 1500 kg car travels at a constant speed of 25 m/s on a 20 km highway trip. It is estimated that fr
Height Calculation Error in a Pendulum Experiment
A student sets up a pendulum experiment to study mechanical energy conservation. The maximum angular
Investigating the Relationship Between Force, Displacement, and Power Output Using an Electric Motor
Design an experiment to measure how efficiently an electric motor converts electrical energy into me
Investigating the Work-Energy Theorem with Multiple Forces
A 5 kg object is subjected simultaneously to two forces on a horizontal surface: an applied force of
Investigation of Power and Efficiency in a Motorized Lifting System
A researcher tests an electric motor used to lift loads. In an experiment, the motor lifts a 30 kg l
Lab Investigation: Work During Stair Climbing
In a laboratory experiment, a subject climbs a flight of stairs with a vertical height of 3 m while
Mechanical Energy in a Bouncing Ball
A ball with a mass of $$0.2\;kg$$ is dropped from a height of $$2\;m$$. On the first bounce, it reac
Mechanical Energy in a Roller Coaster Experiment
This question involves analyzing experimental data from a roller coaster where changes in height and
Nonconservative Forces and Energy Loss
A 2 kg block slides on a rough horizontal surface. The block has an initial speed of 5 m/s and comes
Potential Energy Variation in a Multi-Level Building
An elevator travels in a building that has floors at 0 m (ground), 3 m (first floor), and 18 m (top
Work and Power in a Lifting Scenario
A person lifts a 50 kg weight vertically by 2 m in 5 seconds. Answer the following:
Work Done Along Different Paths
A cart is moved from point A to point B by applying a constant force of 50 N. Two paths are availabl
Work Done by a Variable Force
In an experiment, a cart is subjected to a variable force along its displacement. A graph of force v
Work Done by Variable Forces
A variable force given by $$F(x) = 20 * x$$ (in N) acts on a block as it moves from x = 0 m to x = 2
Work Done Lifting a Weight
A person lifts a 50 kg weight vertically upward by 2 m. Use $$g = 9.8\,m/s^2$$. Answer the following
Work Done on an Inclined Plane Experiment
Using experimental data from pushing a box on various inclined planes, analyze how the angle of incl
Work on an Inclined Plane with Friction
A 2 kg block slides down a 30° inclined plane that is 4 m long. The coefficient of kinetic friction
Work-Energy Analysis in a Car Braking System
A car with a mass of $$1200\;kg$$ is traveling at $$25\;m/s$$ when the brakes are applied, generatin
Airbag Safety and Impulse
In a car accident, a driver (mass = 70 kg) traveling at 25 m/s is brought to a stop in 0.5 seconds b
Amusement Park Ride Collision Analysis
Two ride cars at an amusement park, each with a mass of $$500\,\text{kg}$$, are moving along the sam
Analyzing Lab Collision Data
In a series of collision experiments using gliders on an air track, the following data were recorded
Ballistic Pendulum Momentum and Energy Analysis
In a ballistic pendulum experiment, a bullet is fired into a suspended block, and they swing upward
Basic Momentum Calculation
A 5 kg object is moving to the right with a velocity of 3 m/s. Part (a): Calculate the object's mome
Calculating Linear Momentum and Impulse
In this problem, you will calculate linear momentum and impulse for a moving object and relate impul
Car Braking and Impulse
A car of mass $$1200\,kg$$ traveling at $$25\,m/s$$ comes to a complete stop by braking over a time
Comparing Elastic and Inelastic Collisions
Two objects undergo collisions under different conditions. Experiment 1 features an elastic collisio
Complex Collision Data Analysis
In an experiment involving three colliding objects, the following table provides measurements of the
Data Analysis of Collision from Velocity Graph
The velocity vs. time graph for Glider A during a collision on an air track is provided. Assume Glid
Designing a Collision Experiment with Air Tracks
You are tasked with designing a lab experiment using air tracks to investigate the conservation of m
Effect of Varying Time Intervals on Impulse
A force of constant magnitude is applied to an object for different time intervals. In one trial, an
Experimental Analysis of Impulse Under Variable Forces
Design an experiment to measure the impulse delivered to a cart using a force sensor that records fo
Experimental Design: Effect of Mass on Momentum
Design an experiment to investigate the hypothesis that, for a constant velocity, increasing the mas
Flawed Timing Measurements in a Cart Collision Experiment
In this experiment, two carts on an air track collide, and photocell timers are used to measure the
Fragmenting Projectile: Momentum Analysis
A projectile with a mass of $$10\,kg$$ explodes in mid-air into two fragments. Before the explosion,
Impulse in Sports Performance
In sports such as baseball, the brief, high-force impact between the bat and ball generates an impul
Impulse-Momentum Theorem: Graph Analysis
A force-time graph is provided showing the force exerted on an object during a collision. Use the gr
Incorrect Calibration of Measuring Instruments in a Momentum Experiment
In this experiment, digital sensors measure the velocities of colliding blocks on an air track to ve
Investigating Collision Outcomes on an Air Track
Design an experiment on an air track to study the outcomes of collisions between carts. Answer the f
Investigating Momentum Conservation in a Pendulum Collision
Two pendulum bobs, each of mass $$1.5 \ kg$$, are suspended. Bob A is set in motion and collides wit
Momentum Analysis in a Projectile Splitting
A projectile initially at rest explodes into two fragments. Fragment A has a mass of $$2 \ kg$$ and
Momentum Analysis in Vehicle Collisions
In a car accident reconstruction, two vehicles with masses of 1500 kg and 1200 kg are involved. Afte
Momentum and Impulse in Circular Motion
Consider an object moving in uniform circular motion. A brief tangential force is applied, deliverin
Momentum Conservation in an Explosion Experiment
A stationary pellet explodes into three fragments. The following table shows measurements for fragme
Momentum Conservation in Collisions
In a collision experiment, two objects on a frictionless surface exhibit the following experimental
Momentum in Two-Dimensional Collisions
Two pucks collide on a frictionless air table, resulting in two-dimensional motion. Answer the follo
Momentum in Water Collisions: Inelastic Collision in a Fluid
A small boat (mass $$500\,kg$$) moving at $$4\,m/s$$ collides with a floating barrel (mass $$100\,kg
Momentum Transfer in a Coupled Spring-Pendulum System
In an experiment, a swinging pendulum collides with a stationary block attached to a spring. Answer
Momentum-Time Graph Interpretation
A momentum vs. time graph for a moving object is provided below. Analyze the graph to determine the
Multi-Object Collision Momentum Transfer
Three objects collide and stick together. The following table provides the experimental data for the
Pendulum Collision and Energy Transformation
A pendulum bob of mass $$0.8\,kg$$ swings into a stationary block of mass $$1.2\,kg$$ that hangs on
Rebound Motion and Momentum Change
A ball is dropped from a height and rebounds off the ground. During the collision with the ground, t
Two-Block System Momentum Investigation
A researcher studies a collision between two blocks on a frictionless surface. The blocks collide, a
Two-Body Collision Analysis
Two vehicles collide at an intersection. Vehicle A (mass 1200 kg) is traveling east at 15.0 m/s and
Two-Car Collision Analysis
Two cars collide and stick together in a perfectly inelastic collision. The table below provides the
Two-Dimensional Collision Analysis
On a nearly frictionless air hockey table, two pucks (mass = 0.2 kg each) collide elastically. Puck
Underestimating the Role of Impulse in Variable Force Applications
In this experiment, a cart is subjected to a force from a mechanical actuator designed to change its
Amplitude Effects on Oscillator Energy
A mass attached to a spring oscillates with amplitude A. The total mechanical energy is given by $$E
Amplitude Independence of Period in SHM
In ideal simple harmonic motion, the period is independent of the amplitude. Answer the following pa
Analysis of the Effects of Gravity on Pendulum SHM
A pendulum’s period is influenced by the gravitational acceleration in its environment.
Comparing Amplitude Effects
Two identical mass-spring systems oscillate with different amplitudes: System 1 has $$A_1 = 0.10 m$$
Comparing Displacement Functions
Consider the two displacement functions for a mass-spring system: $$x_1(t)= A*cos(ω*t+φ)$$ and $$x_2
Comparison of Pendulum and Spring Systems
Compare the factors that affect the period of oscillation in a mass-spring system versus a simple pe
Damped Oscillations in a Mass-Spring System
A mass-spring oscillator subject to damping is described by the equation $$x = A e^{-b*t}\cos(ω*t)$$
Determining Spring Constant from Energy Measurements
A mass-spring oscillator has a measured amplitude of 0.25 m and a total mechanical energy of 3.125 J
Effect of Mass Variation on Oscillation Period
In an experiment, the period of oscillation for a spring-mass system is measured for different masse
Energy Conservation in SHM and Pendulum Systems
Energy conservation is a central concept in oscillatory motion. Answer the following:
Energy Transformation in SHM
In a mass-spring system undergoing SHM, the total mechanical energy is conserved and is partitioned
Faulty Equipment Setup in SHM Frequency Determination
A student sets up an experiment aimed at measuring the frequency of a mass-spring oscillator. A digi
Graphical Analysis of SHM Data
A mass-spring oscillator is undergoing simple harmonic motion, and experimental measurements of disp
Graphical Analysis of SHM Motion
A researcher performs an experiment with a spring-mass system and records its displacement as a func
Impact of Amplitude on SHM Characteristics: Theoretical and Experimental Analysis
Although the theory of simple harmonic motion predicts that the period is independent of amplitude,
Impulse and SHM Initiation
Investigate how a sudden impulse initiates simple harmonic motion in a mass-spring system.
Inaccurate Phase Measurement in SHM due to Timing Error
A researcher uses a high-speed camera to capture the motion of a mass-spring system and determine it
Interpreting Velocity and Displacement Time Graphs in SHM
A combined graph displays both the displacement and velocity of an oscillator as functions of time.
Investigating Nonlinear Effects in Large Amplitude SHM
For a pendulum undergoing large angular displacements, the period deviates from the simple harmonic
Investigating SHM through Electrical Analogues
Electrical circuits containing inductors and capacitors can exhibit oscillatory behavior analogous t
Measurement Uncertainty in SHM Parameters
A student performs an experiment to measure the period, amplitude, and angular frequency of a mass-s
Misapplication of Hooke's Law in Oscillatory Force Experiment
A student examines the relationship between displacement and force in a spring system. In the experi
Misinterpretation of Velocity Data in SHM Experiment
In an experiment aimed at verifying the velocity function in SHM, a student records the displacement
Nonlinear Effects in Pendulum Motion
For a pendulum undergoing large amplitude oscillations, the period deviates from the simple harmonic
Pendulum Clock Accuracy and Errors
A pendulum clock relies on the period of a simple pendulum to keep time. However, factors such as ai
Pendulum Motion Comparison
Pendulums are a common example of systems exhibiting periodic motion. Answer the following:
Pendulum Period Measurement Error
A student conducts an experiment using a simple pendulum to study the relationship between the lengt
Real-World Applications of SHM
An engineering suspension system can be modeled as a mass-spring-damper system exhibiting simple har
Relation between Period and Frequency
Discuss the relationship between the period and frequency of an oscillating system undergoing SHM. A
Time-Dependent Forcing in SHM
Consider a mass-spring system subject to an external periodic force given by $$F(t)=F_0\cos(ωt)$$. T
Visual Interpretation of SHM in a Pendulum Clock Mechanism
A diagram of a pendulum clock is provided, illustrating its components such as the pendulum, pivot p
Analysis of Rotational Energy Data
An experiment measured the rotational kinetic energy of a rotating object at various angular velocit
Analyzing a Damped Rotational System
Investigate a rotating disc subjected to a damping torque proportional to its angular velocity.
Angular Impulse Analysis
A rotating turntable receives a brief pulse of force, which results in an angular impulse that chang
Calculating Angular Displacement and Angular Velocity
In a lab setup, a car is moving along a circular track. Analyze the following data to determine its
Calculating the Center of Mass of a System
Consider a system of three objects with the properties indicated in the table. Compute the center of
Comparative Analysis of Angular Sensors and Linear Measurement Systems
A researcher is evaluating two sensor types for measuring rotational motion in an industrial machine
Comparative Analysis of Moment of Inertia
Two wheels, each with a mass of $$10 kg$$ and a radius of $$0.5 m$$, have different mass distributio
Compound Rotational System Analysis
A compound pendulum is built by attaching a rod (length $$1 m$$, mass $$1 kg$$) to a sphere (mass $$
Connecting Linear and Angular Motion on a Rotating Disc
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Note Tips from Former AP Students
- 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 1: 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.