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 Analysis in Uniform and Non-uniform Motion
A group of students records the motion of a toy car that initially starts from rest, accelerates uni
Acceleration Calculation from Velocity Data
A series of velocity measurements for an object are recorded over time as shown in the table below.
Air Resistance Negligence in Projectile Motion Error
A student performs an experiment to investigate projectile motion by launching a ball at various ang
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
Analyzing Motion from a Position vs. Time Graph
Examine the position vs. time graph provided in the stimulus to analyze the object's motion.
Analyzing Variable Acceleration
An object's velocity is measured at different times as shown below. Use the data to analyze the acce
Angled Motion: Water Fountain
Water is projected from a fountain at an initial speed of \(15\,m/s\) at an angle of \(45^\circ\) wi
Baseball Projectile Motion
A baseball is hit off a bench, following a projectile trajectory under ideal conditions with no air
Braking Distance of a Car
A car traveling at $$25\ m/s$$ comes to a stop under uniform deceleration.
Calculating Acceleration in Uniformly Accelerated Motion
A car, starting from rest, accelerates uniformly and reaches a final velocity of $$24$$ m/s in $$8$$
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 Motion Error
A student designs an experiment to measure the centripetal acceleration of an object moving in a cir
Circular Motion: Distance and Displacement on a Track
A researcher studies the motion of a car moving on a circular track with a fixed radius of $$r = 50$
Circular Track Analysis: Distance vs. Displacement
A runner is recorded while running on a circular track. The following table shows measurements at va
Collision Analysis: Elastic vs Inelastic Collisions
An experiment is designed using gliders on an air track to study collisions. Two types of collisions
Comparative Analysis: Scalar vs. Vector Quantities on a Circular Track
A runner completes several laps on a circular track at a constant speed. Answer the following.
Comprehensive Analysis Using the BIG FIVE Equations
A toy car starting from rest accelerates uniformly in a straight line. The experiment records time,
Critical Analysis: Acceleration Measurements under Free Fall
In a free fall experiment, objects are dropped from a known height and their fall times are recorded
Determining Kinematic Quantities from Graph Data
A motion sensor experiment simultaneously records position, velocity, and acceleration graphs for an
Distance vs. Displacement
This question examines your understanding of the fundamental differences between distance and displa
Drone Delivery Route
A delivery drone flies from a warehouse to a customer's location. Its flight path is not a straight
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
Evaluating Experimental Data on Uniform Acceleration Using the BIG FIVE Equations
An experiment is conducted to study uniformly accelerated motion. Data for time, velocity, and displ
Force Vector Addition Experiment
In a laboratory setup, an object is subjected to multiple forces applied at different angles using s
Free Fall Experiment Analysis
In a free fall experiment, an object is dropped from rest and the distance fallen is recorded at var
Free Fall Motion Lab
In a free fall experiment, a ball is dropped from rest. Use the data provided to analyze the motion.
Free-Body Diagram and Kinematics Analysis
A 3-kg block is subject to multiple forces.
Graphical Analysis of Position vs. Time: Identification and Correction of Errors
Below is a schematic diagram of a position vs. time graph that is intended to represent the motion o
Impact of Initial Velocity on Projectile Trajectories
Two projectiles, A and B, are launched from the same height with an angle of 45° but with different
Influence of Angle on Projectile Motion: A Controlled Experiment
A controlled laboratory experiment is conducted to examine how varying the launch angle affects the
Interpreting a Visual Diagram: Position vs. Time Graph Analysis
Below is a diagram intended to represent a position vs. time graph for an object undergoing interval
Launch Angle Impact Analysis
An experiment records the maximum height and time of flight for a projectile launched at various ang
Methods for Calculating Displacement
Design a controlled experiment to compare two different methods for calculating displacement: one us
Motion Sensor and Staircase Displacement Experiment
In this experiment, a motion sensor is used to track a subject as they walk up and down a flight of
Multi-Dimensional Projectile Motion Analysis
In this advanced experiment, a projectile is launched in a two-dimensional plane and its motion is r
Path Analysis: Distance vs. Displacement
An object moves along a path composed of three segments: first, it travels 4 m east, then 3 m north,
Position vs. Time Graph Analysis
A position versus time graph for an object in motion is provided. Answer the following questions bas
Projectile Motion Analysis
A projectile is launched from ground level under the given conditions.
Projectile Motion: Maximum Height and Range
A projectile is launched from the ground with its height described by the equation $$h(t) = -4.9*t*t
Qualitative Analysis: Effects of Air Resistance on Projectile Motion
Air resistance is often neglected in ideal projectile motion problems. Consider its qualitative effe
Real-World Application: Rescue Helicopter Drop
A rescue helicopter flying horizontally at 15 m/s at an altitude of 50 m drops a supply package. Neg
Resolving Force Components on an Inclined Plane
A 10-kg block rests on a 30° inclined plane. Analyze the gravitational forces by resolving the weigh
Scalar vs. Vector: Lab Report Analysis
A student lab report claims that a measured value of 50 m represents both the distance traveled and
Simulated Impact Test: Speed and Velocity
In a crash simulation lab, a test vehicle decelerates from a high speed and various sensors record i
Trajectory of a Ball: Graphical Analysis
A ball is thrown and its trajectory is recorded using a high-speed camera. The resulting parabolic p
Two-Stage Motion Analysis: Acceleration and Deceleration
An object undergoes two stages of motion. In the first stage, it accelerates uniformly from rest to
Uniform Acceleration and Displacement of a Car
A car starting from rest accelerates uniformly at 5 m/s² for 10 seconds. Analyze this motion using k
Uniform Acceleration Graph Analysis Error
A student collects position versus time data for an object undergoing uniform acceleration using a m
Uniform Acceleration in a Laboratory
In a controlled physics lab experiment, a ball is dropped from a known height and its position is re
Uniformly Accelerated Motion Investigation
Design an experiment that verifies the BIG FIVE equations of motion for uniformly accelerated motion
Uniformly Accelerated Motion: Deriving Equations
Derive the kinematic equation for displacement under uniform acceleration, $$s = ut + \frac{1}{2}at^
Vector Addition in Displacement
Design an experiment to demonstrate how vector addition can be used to determine the net displacemen
Vector Addition in Two-Dimensional Displacement
An object moves in two stages: first, it travels 6 m at an angle of 30° above the horizontal; then,
Vector Addition in Two-Dimensional Motion
A hiker takes two sequential displacements: first, 8 m east, and then 6 m north. Answer the followin
Vector Addition: Forces on an Object
An object is subjected to two forces: one force of 10 N acting due East and another force of 15 N ac
Video Analysis of Accelerated Motion
In this experiment, students record a toy car moving along a track using a video camera to determine
Work Done and Energy Considerations in Accelerated Motion
A block on a frictionless surface accelerates uniformly under a constant net force. Consider the blo
Action-Reaction Forces on Ice Skaters
Two ice skaters push off from one another on a nearly frictionless ice surface.
Analysis of a Rope-Pulley and Force System in a Rescue Operation
During a rescue operation, a team uses a rope and pulley system to lift a victim from debris. The vi
Analysis of Forces during a Car Crash
A 1200 kg car moving at 20 m/s crashes into a stationary barrier and comes to rest in 0.25 s. Use im
Analyzing a Car Crash: Friction, Inertia, and Safety
A transportation safety study claims that an abrupt car stop during a crash can be perfectly modeled
Analyzing Forces on a Frictionless Cart
A student investigates the motion of a cart on a frictionless track by applying different constant f
Analyzing Impulse in a Collision
During a collision experiment, the force exerted as a function of time is recorded, and the graph be
Applied Force at an Angle on a Block
A 10 kg block rests on a horizontal surface with a kinetic friction coefficient of $$\mu_k = 0.3$$.
Center of Mass and Tipping Point Experiment
A composite object consisting of two connected masses is placed on an inclined plane to determine th
Collision Analysis on a Frictionless Surface
A 1 kg object moving at 8 m/s collides head-on with a stationary 2 kg object and they stick together
Comparing Gravitational and Inertial Mass
An experiment is conducted to compare gravitational mass with inertial mass.
Critical Evaluation of an Experiment on Energy Dissipation in Colliding Cars
A media report claims that in a rear-end collision, nearly all the kinetic energy of the vehicles is
Designing a Multi-Factor Experiment for Vehicle Safety Dynamics
Design a comprehensive experiment to investigate how various forces (such as friction, tension, and
Designing a Pulley System to Study Accelerated Motion
Develop an experimental design using an Atwood machine (a pulley system with two masses) to measure
Dynamics Analysis: Banked Curve Without Friction
A car negotiates a banked curve of radius $$r = 50 * m$$ and banking angle $$\theta = 20°$$ with no
Dynamics and Energy Analysis in a Roller Coaster
A roller coaster car of mass 500 kg descends a frictionless track from a height of 20 m.
Dynamics FRQ #8: Friction on a Rough Surface
A 10.0 kg block slides on a horizontal surface. A constant 30 N force is applied, while the coeffici
Dynamics FRQ #18: Normal Force on a Curved Surface
A roller coaster car of mass 500 kg travels over the top of a convex hill with a radius of curvature
Dynamics Problem 7: Action-Reaction in Skater Push-Off
Two ice skaters, Skater A (mass = $$50\ kg$$) and Skater B (mass = $$70\ kg$$), stand at rest on a f
Dynamics Problem 9: Impulse from a Force-Time Graph
A force is applied to a small cart for a short duration, and the force varies with time. A force vs.
Dynamics Problem 11: Effects of Friction on a Cart
A small cart of mass $$m = 3\ kg$$ moves along a horizontal track. Initially, the cart moves on a fr
Dynamics with Variable Mass: A Rocket Analogy
In a modified dynamics experiment, a cart is designed to gradually lose mass (for example, by ejecti
Effect of Friction on a Moving Object on an Inclined Plane
An object slides down an inclined plane where friction plays a non-negligible role. A researcher inv
Energy and Dynamics: Understanding Work and Force
A researcher studies the work done on an object as it is pushed up a ramp. The investigation examine
Energy and Newton's Laws: Work Done Against Friction
A box of mass 8 kg is pushed over a distance of 5 m on a rough horizontal surface. The coefficient o
Evaluating Dynamic Equilibrium: Forces and Acceleration
A researcher examines objects moving at a constant velocity (dynamic equilibrium) on a horizontal su
Evaluating Newton's Third Law in Action-Reaction Pairs
A researcher investigates the force interactions between a person and a boat when the person jumps o
Exploring the Transition from Static to Kinetic Friction
Design an experiment to measure the coefficient of static friction and observe its transition to kin
Force Analysis on a Rotating Platform
A 70 kg person stands on a rotating platform of radius 2 m. The platform rotates with an angular spe
Forces on an Inclined Plane
Analyze the dynamics of an object on an inclined plane with friction and an applied force.
Free-Body Diagram and Dynamics Analysis
An object of mass $$m$$ is placed on a frictionless inclined plane at an angle $$\theta$$. Analyze t
Frictional Force and Acceleration Experiment
Students investigate the relationship between applied force and acceleration on a dynamics cart by a
FRQ1: Dynamics on a Frictionless Track
In an experiment, a cart is pushed along a frictionless track with varying net forces. Analyze the d
FRQ2: Projectile Motion Analysis Using a Velocity-Time Graph
A projectile is launched vertically upward. A velocity vs. time graph is provided. Analyze the graph
FRQ18: Constant Force and Varying Mass
An experiment uses a constant applied force of 10 N on objects of different masses. The resulting ac
Impact of Varying Mass on Acceleration
Two carts move along a frictionless track. One cart has mass $$m$$, and the other has a slightly inc
Inclined Plane Dynamics with Friction
A block of mass $$m = 5 ~kg$$ is placed on a 30° inclined plane. The coefficient of kinetic friction
Inertial Measurements in Rotating Frames
A popular physics demonstration claims that instruments operating in a rotating frame consistently r
Investigating Frictional Forces on an Inclined Plane
Design an experiment to measure the coefficient of kinetic friction for a block sliding down an incl
Investigating Inertial Mass through Force Application Experiments
A student runs an experiment to measure inertial mass by applying different known forces to an objec
Investigating Normal Force Variations on an Uneven Surface
An object moves along an uneven, curved path such as a roller coaster loop where the normal force ch
Investigation of Applied Force Effects
Design an experiment to investigate how varying magnitudes of an applied force affect the accelerati
Investigation of Newton's Third Law Using Collision Experiments
Two gliders on an air track undergo a collision, and force sensors measure the force versus time dur
Mass Distribution and Center of Mass
Explore the concept of center of mass and its influence on the dynamics of a system.
Moment of Inertia Measurement
A disk is rotated by applying a constant tangential force at its edge, and its angular acceleration
Multiple Forces on an Inclined Plane
A 10 kg block slides down a 30° inclined plane with a coefficient of kinetic friction of 0.2. Analyz
Projectile Motion with Air Resistance Idealization
A projectile is launched with an initial speed $$v_0 = 20 * m/s$$ at an angle $$\theta = 30°$$ above
Reaction Forces in a Collision Event
During a collision, two masses undergo changes in momentum. An experiment recorded the following dat
Tension Analysis in a Stationary Object
A mass is hanging from a rope attached to a ceiling. Consider the forces acting on the mass when it
Theoretical Impact of Air Resistance on a Falling Object
A 2.0-kg object is dropped and falls under gravity while experiencing an air resistance (drag) force
Analysis of the Impact of Varying Mass on Free Fall Acceleration
In a vacuum, free-fall experiments were performed by dropping objects of different masses from the s
Analyzing Circular Motion in a Race Car Turn
A race car with a mass of 800 kg is negotiating a circular turn of radius 50 m at a constant speed o
Analyzing the Transition from Circular to Elliptical Orbits
Design a simulation-based experiment to analyze how a slight increase in the orbital speed of a sate
Artificial Gravity in a Rotating Space Station
A rotating space station creates artificial gravity through centripetal acceleration. Answer the fol
Ball on a String: Uniform Circular Motion Analysis
A student sets up an experiment to analyze uniform circular motion using a ball attached to a string
Car on a Circular Track: Maximum Speed Analysis
A car of mass $$m$$ negotiates a circular turn of radius $$r$$ on a level road. The maximum static f
Centrifuge Dynamics
A laboratory centrifuge spins a sample in a tube along a circular path of radius $$r$$ at a constant
Centripetal Acceleration Dependency on Speed: Data Table Analysis
This problem asks you to use experimental data to analyze the relationship between speed and centrip
Centripetal Force in a Banked Curve
A car rounds a banked curve where the road is inclined at a certain angle, and friction is negligibl
Charged Particle in Circular Orbit
A stationary charged sphere with charge $$Q = 5.0 \times 10^{-6} \;C$$ is fixed at the center of a f
Comparative Analysis of Electric and Gravitational Forces
A charged particle moves in a circular path under the influence of an electric force, while gravitat
Comparative Analysis of Gravitational Acceleration on Different Planets
A table provides the mass and radius for two different planets. Use these data to analyze the gravit
Comparing Effects of Circular Motion and Gravitational Orbits
A satellite orbits a planet while an object is undergoing uniform circular motion in a laboratory. A
Comparing Observed and Predicted Acceleration in Circular Motion
In an experiment, the observed centripetal acceleration was compared with the theoretical prediction
Designing a Circular Motion Laboratory Experiment
Design an experiment to study the relationship between centripetal acceleration and radius for an ob
Designing a Lab to Measure Air Resistance Effects on Free-Fall Acceleration
Design a comprehensive experiment to investigate how air resistance affects the measured free-fall a
Determining the Gravitational Constant G Using a Torsion Balance
Design an experiment using a torsion balance to measure the gravitational constant $$G$$. Your desig
Effect of Changing Radius on Centripetal Acceleration
This problem examines how centripetal acceleration changes with the radius of the circular path when
Effect of Charge Distribution on Electric Forces
An insulating rod with a non-uniform charge distribution is studied by measuring the electric force
Effects of Changing Radius on Uniform Circular Motion
An object is moving in a circular path at a constant speed. (a) Derive the relationship that shows h
Electric Force Measurement in Circular Motion Setup
A student designs an experiment in which a charged particle is directed into a circular path by elec
Electric Force vs. Gravitational Force Comparison
Consider two objects placed 0.5 m apart. One scenario involves two masses, and the other involves tw
Estimating the Required Charges for Equilibrium in a Charged Rotating System
A system consists of two small charged spheres that rotate about a common center. The only force pro
Gravitational Acceleration Measurements
A researcher is using a simple pendulum to measure the local gravitational acceleration (g). The fol
Gravitational vs Electric Force Experiment: Conceptual Error Analysis
A group of students designs an experiment to compare gravitational and electric forces acting on sma
Impact of Radius Variation on Uniform Circular Motion
In an experiment designed to study uniform circular motion, a student varies the radius of the circu
Investigating Gravitational Acceleration at Different Altitudes
A free-fall experiment is conducted at various altitudes above the Earth's surface. Assume that Eart
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
Orbital Speed Variation in Circular Orbits
A student uses a computer simulation to study the orbital speeds of satellites in circular orbits ar
Pendulum Motion in a Vertical Circle
A pendulum bob of mass 2 kg is attached to a string of length 3 m and moves in a vertical circle. At
Satellite Motion and Free-Body Analysis
This problem involves analyzing a satellite in orbit, including drawing a free-body diagram and deri
Spinning Ice Skater's Arms
An ice skater rotates with arms extended. With arms extended, the hand moves with a linear speed of
Analysis of Mechanical Energy Conservation in a Pendulum
A pendulum with a 2 kg bob is released from a height of 1.5 m above its lowest point. Answer the fol
Analyzing the Work-Energy Theorem through a Spring Launch Experiment
In this experiment, a spring launcher propels a mass horizontally. The spring is compressed a known
Assessing Energy Loss due to Air Resistance in a Free Fall
A skydiver of mass $$80\,kg$$ jumps from a balloon at an altitude of $$3000\,m$$. After deploying th
Comparative Power Outputs in Different Systems
Two machines are used for similar tasks. Machine A operates at a constant power output of $$2000\;W$
Designing an Experiment to Determine Frictional Force
Design an experiment to measure the frictional force acting on a sliding block on a horizontal surfa
Effective Force Measurement in a Pulley Experiment
A student tests a pulley system by lifting a load and measuring the force using a calibrated weight
Efficiency and Power Loss in a Mechanical System
Examine the experimental data of a mechanical system that measures input energy, output energy, and
Forces and Energy in a Bicycle Ride
A cyclist with a total mass (including the bicycle) of $$80\,kg$$ rides uphill and gains a vertical
Investigating the Dynamics of Rotational Work and Power in a Flywheel System
A flywheel is accelerated by an electric motor and its angular displacement, applied torque, and tim
Investigation of Mechanical Energy in a Roller Coaster Model
A model roller coaster is built and data are collected on the speed of the coaster at different poin
Kinetic Energy in Free Fall
A 5 kg object is dropped from rest from a height of 20 m. Answer all parts.
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
Lifting and Mechanical Energy
A person lifts a 50 kg mass vertically upward from the ground to a platform that is 3 m high. Answer
Mechanical Energy in a Spring-Loaded Apparatus
A researcher investigates a spring-loaded mechanism. A spring with a spring constant of $$k = 200 \;
Nonconservative Losses in an Elastic Collision Experiment
In an experiment, a student investigates energy conservation during an elastic collision between two
Power Output in a Weight Lifting Competition
Two athletes participate in a weight lifting competition. Data on the mass they lifted, the height,
Power Output Variability in a Walking Robot
A walking robot performs cyclic motion. In one cycle, the robot does 150 J of work in 2 seconds. Ans
Quantitative Analysis of Friction Work
A 2 kg block is sliding on a rough horizontal surface and comes to rest after traveling a distance o
Work and Energy in Circular Motion
Analyze the experimental data from a vertical loop where an object's speed is recorded at different
Work Done Along Different Paths
A cart is moved from point A to point B by applying a constant force of 50 N. Two paths are availabl
Work Done at an Angle
A force of 50 N is applied to a block on a frictionless horizontal surface at various angles. With a
Work Done at an Angle
A force of 100 N is applied to a crate at an angle of 40° above the horizontal, moving the crate 5 m
Work Done by a Variable Force
In an experiment, a cart is subjected to a variable force along its displacement. A graph of force v
Work on an Inclined Plane with Friction
A 2 kg block slides down a 30° inclined plane that is 4 m long. The coefficient of kinetic friction
Work-Energy Analysis in a Vehicle Collision
A vehicle of mass $$1000\,kg$$ traveling at an initial speed of $$20\,m/s$$ collides with a barrier
Work-Energy Calculations in a Laboratory Experiment
In a lab experiment, a cart is subjected to a constant force during three separate trials as it move
Assumption of Perfect Elasticity without Considering Collision Deformation
In this experiment, bouncy balls collide on a hard surface and their velocities are measured to stud
Billiards Ball Collision Analysis
In a game of billiards, a cue ball of mass $$0.16\,\text{kg}$$ moving at $$2.5\,\text{m/s}$$ strikes
Collision and Rebound in a Roller Coaster Car
A 300-kg roller coaster car traveling at $$10 \ m/s$$ collides with a safety bumper and comes to a s
Crash Test Analysis: Impulse and Momentum
An automobile crash test provides the following force vs. time data: | Time (s) | Force (N) | |----
Data Analysis of Collision from Velocity Graph
The velocity vs. time graph for Glider A during a collision on an air track is provided. Assume Glid
Design an Experiment to Verify Momentum Conservation
Design a controlled laboratory experiment to verify the law of conservation of linear momentum. Your
Designing an Air Track Experiment for Momentum Conservation
A student plans to verify momentum conservation using an air track and gliders. The experiment invol
Evaluating Momentum in Multi-Stage Collisions
A system of three objects (A, B, and C) on a frictionless track undergoes sequential collisions. Dat
Experimental Analysis of Momentum Transfer
An experiment using carts on an air track measured momentum before and after collisions to test mome
Improper Setup of Reference Frame in a Multi-Cart Collision
In this experiment, several carts on an air track collide, and the momentum of the system is analyze
Impulse and Momentum: Data Interpretation
A student performs an experiment to study the relationship between impulse and the change in momentu
Impulse Calculation from a Force-Time Graph
An object is subjected to a force that varies with time as depicted in the graph below.
Impulse Calculation from a Time-Varying Force Function
A force is applied to an object according to the function $$F(t) = 5 * t$$ (in newtons) for $$0 \le
Impulse from a Force-Time Graph
An object is subjected to a varying force generated over a 4-second interval as a function of time.
Impulse in Kicking a Soccer Ball
A soccer ball with a mass of 0.43 kg is kicked from rest and reaches a speed of 15 m/s. The contact
Impulse in Non-collisional Interactions
An experiment uses a fluid jet that impinges on a paddle wheel, generating an impulse that rotates t
Inelastic Collision Investigation
A researcher observes an inelastic collision in which two vehicles collide and stick together. The e
Multi-Object Collision Momentum Transfer
Three objects collide and stick together. The following table provides the experimental data for the
Multi-Stage Collisions Analysis
A system involves sequential collisions. First, Cart 1 (mass $$2$$ kg, velocity $$4$$ m/s) collides
Real-World Application: Vehicle Collision Reconstruction
A crash reconstruction team is analyzing a two-vehicle collision. Vehicle A (mass = $$1500$$ kg) is
Soccer Player Collision Analysis
During a soccer match, two players collide. Player A (mass 70 kg) is running at 6 m/s and Player B (
Traffic Safety and Momentum in Multi-Car Collisions
A traffic safety study reconstructs a multi-car collision where several vehicles collide and move to
Two-Car Collision Analysis
Two cars collide and stick together in a perfectly inelastic collision. The table below provides the
Two-Dimensional Collision Analysis
Two hockey pucks on an air-cushioned table undergo a collision. Their initial data are provided in t
Analysis of Phase Constant in SHM
For a mass-spring oscillator described by $$x(t)=A\cos(\omega t+\phi)$$, consider that at \(t=0\) th
Comparative Dynamics: Pendulum vs. Mass-Spring System
Compare the dynamics of a simple pendulum and a mass-spring oscillator.
Comparing Amplitude Effects
Two identical mass-spring systems oscillate with different amplitudes: System 1 has $$A_1 = 0.10 m$$
Comparing Pendulum and Mass-Spring Systems
Pendulum and mass-spring systems both exhibit SHM but differ in their restoring forces and energy tr
Conservation of Energy in SHM
An experiment monitored the kinetic and potential energies of a mass-spring system undergoing simple
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 a Change in Spring Constant on Oscillation Frequency
An experiment measured the frequency of a mass-spring oscillator for different spring constants. Ana
Effect of Amplitude on Energy in SHM
For a mass-spring system in simple harmonic motion, the total mechanical energy is directly related
Effect of Amplitude on SHM System
A researcher investigates the effect of varying amplitude in a spring-mass system while keeping the
Effect of Phase Angle on SHM Motion
A researcher studies the effect of changing the phase angle $$\phi$$ in the SHM equation $$x = A \co
Effect of Spring Constant Variation on Oscillation
In an experiment, a mass-spring system is used where different springs with varying spring constants
Energy Conservation in SHM
A mass-spring system undergoing SHM has an amplitude of $$A = 0.20 m$$ and a spring constant of $$k
Energy Conversion in SHM
A mass-spring system undergoing simple harmonic motion has amplitude $$A$$ and spring constant $$k$$
Evidence of Damping in Oscillatory Motion
An experiment studying a damped oscillator records the amplitude of oscillation at successive time i
Exploring SHM in Pendulums
Examine the validity of the small-angle approximation used in simple pendulum motion.
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,
Investigating Hooke's Law
A student is carrying out an experiment to verify Hooke's Law for a vertical spring system. The stud
Mass-Spring Energy and Oscillations
Consider a block of mass $$m$$ attached to a spring with spring constant $$k$$ undergoing simple har
Mass-Spring Oscillator Data Analysis
A researcher investigates a mass-spring oscillator system by varying the mass attached to a spring a
Measurement of the Spring Constant via SHM Data
An experiment is designed to determine the spring constant, k, of a spring using a mass-spring syste
Non-Ideal Effects in SHM
Real oscillatory systems often deviate from ideal SHM due to friction and air resistance. Consider a
Oscillatory Motion with Variable Amplitude
Explore the behavior and safety implications of a driven harmonic oscillator with variable amplitude
Pendulum Energy Considerations
A simple pendulum undergoing small-angle oscillations is released from a small initial displacement.
Pendulum Motion Comparison
Pendulums are a common example of systems exhibiting periodic motion. Answer the following:
Period and Frequency Relationship Analysis
Examine the relationship between the period and frequency of an oscillator using the provided data.
Phase Shift Effects on Energy Distribution in SHM
A study of a mass-spring oscillator produced a graph showing the kinetic and potential energies as f
Relation between Period and Frequency
Discuss the relationship between the period and frequency of an oscillating system undergoing SHM. A
Restoring Force and Negative Sign
Hooke's Law states that the force exerted by a spring is given by $$F = -k*x$$. For a spring with co
Analyzing Centripetal Force in Rotating Systems
Design an experiment to investigate how increasing angular velocity impacts the centripetal force ex
Basic Angular Kinematics Calculations
A rotating wheel undergoes an angular displacement of $$6.28 \text{ rad}$$ in 4 s. (a) Calculate its
Bicycle Wheel Dynamics
A cyclist's bicycle wheel is modeled as a thin hoop having a mass of 2 kg and a radius of 0.35 m. Wh
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
Center of Mass in a Rotating System
A system consists of a uniform rod and two attached masses located at specified distances from a piv
Center of Mass in an Irregular Rotating Object
A researcher studies an irregularly shaped rotating object and claims that the object rotates about
Center of Mass in Rotating Systems
Design an experiment to study how the distribution of mass affects the location of the center of mas
Composite Rotational Systems with Coupled Cylinders
A researcher examines a system of two coupled solid cylinders rotating about the same axis. Cylinder
Compound Rotational System Analysis
A compound pendulum is built by attaching a rod (length $$1 m$$, mass $$1 kg$$) to a sphere (mass $$
Conservation of Angular Momentum
A figure skater begins with an initial moment of inertia $$I_i$$ and angular velocity $$\omega_i$$.
Conservation of Angular Momentum Figure Skater Experiment Error
To simulate a figure skater's spin, a student sets up a rotating platform with adjustable masses rep
Coupled Rotational Systems Analysis
A system consists of two disks connected by a frictionless axle. Disk X has mass $$4 \text{ kg}$$ an
Designing a Rotational Dynamics Experiment
A researcher seeks to study the effect of applied torque on the angular acceleration of a rotating d
Designing an Experiment to Measure the Moment of Inertia using a Torsional Pendulum
Design an experiment to determine the moment of inertia of a disk using a torsional pendulum setup.
Determining Angular Acceleration in Non-Uniform Circular Motion
A rotating system exhibits non-uniform circular motion. Analyze the provided graph to determine both
Effects of Frictional Torque on Angular Deceleration
A spinning cylindrical object with a moment of inertia of $$I = 1.2\, kg\cdot m^2$$ slows down due t
Energy in Rotational Motion
A flywheel rotates at 1200 revolutions per minute (rev/min) and has a moment of inertia of $$10 \tex
Evaluating Angular Displacement with Variable Acceleration
In an experiment using a rotating platform, the angular acceleration is not constant. Researchers cl
Evaluating Friction and Air Resistance Effects
Design an experiment to evaluate the effects of friction and air resistance on the rotational decele
Experimental Investigation of Frictional Torque
A rotating wheel is observed to slow down over time due to frictional torque. This experiment aims t
Graphical Analysis of Angular Velocity
Examine the angular velocity versus time graph provided and answer the following questions.
Gyroscopic Precession Experiment Error
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Develop an experiment to investigate how shifting the pivot point of a rotating object affects its m
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Design an experiment to test the rotational analog of the impulse-momentum theorem by applying a bri
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A rotating space station generates artificial gravity. Initially, the station has a moment of inerti
Moment of Inertia and Rotational Kinetic Energy
Different objects are rotating with various moments of inertia and angular velocities. Use the data
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A car wheel is modeled as a thin hoop with mass $$12 \;kg$$ and radius $$0.3 \;m$$. The engine appli
Rotational Kinematics of a Disc
A circular disc of radius 1.0 m starts from rest and rotates with a constant angular acceleration. I
Rotational Kinetic Energy of a Cylinder
A solid cylinder with a mass of $$10.0 kg$$ and a radius of $$0.5 m$$ rotates at an angular velocity
Rotational Motion in Automotive Braking
A researcher studies the effect of a braking torque on a car wheel. The wheel has a radius of $$R =
Rotational Motion with Variable Angular Acceleration
A rotating object has an angular acceleration given by $$\alpha(t) = 0.2 * t \text{ rad/s}^2$$, with
Rotational Stability: Center of Mass Effects
Design an experiment to investigate how the location of the center of mass in an object affects its
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A beam is subjected to several forces applied at different distances from a pivot point. Using the d
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In a controlled experiment, the linear velocity of points on a rotating wheel was measured for diffe
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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.