AP Physics 1: Algebra-Based FRQ Room
Ace the free response questions on your AP Physics 1: Algebra-Based exam with practice FRQs graded by Kai. Choose your subject below.
Knowt can make mistakes. Consider checking important information.
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 from Tabulated Data
Using the table of velocity data below, answer the following kinematics questions.
Analyzing a Velocity-Time Graph
A velocity-time graph is provided showing the motion of an object.
Analyzing Changing Vectors: Two-Dimensional Motion
A drone takes off and follows a multi-leg flight path in a horizontal plane. The flight path consist
Analyzing Motion from Time-Dependent Acceleration Data
A vehicle undergoes non-uniform acceleration. Analyze its motion using the following acceleration da
Analyzing Position vs Time Graph
A student tracks the motion of an object along a straight track and records its position over time.
Analyzing Uniformly Accelerated Motion Using the BIG FIVE Equations
A motorcyclist accelerates uniformly from rest. The following data were recorded during the accelera
Angled Motion Experiment
An experiment records the time of flight, range, and maximum height for a ball thrown at different l
Angled Motion: Design and Analysis
A cannon fires a projectile with an initial speed of $$50 m/s$$ at an angle of $$40^{\circ}$$ above
Calculations of Speed and Velocity from Experimental Data
The table below shows an object's position at various times during an experiment. Use the data to co
Centripetal Acceleration in Circular Motion
An object moves in uniform circular motion at a constant speed of $$10 \; m/s$$ along a circle with
Comparing Average Speed and Average Velocity
A runner completes a 400 m loop around a track in 50 s, with a net displacement of only 50 m. Analyz
Comparing Speed and Velocity in Motion
A vehicle travels along a winding road. Although its speedometer shows a consistent reading at certa
Determining Acceleration from Position Data
A cart's position as a function of time is given by $$s(t)= 2*t^2 - 4*t + 1$$, where s is measured i
Determining Acceleration in a Free Fall Drop Experiment
In a school laboratory drop experiment, the following data was recorded: | Height (m) | Time (s) |
Determining Average and Instantaneous Velocity
The following table lists the position of an object at various times. Use this data to distinguish b
Effects of Initial Launch Angle on Projectile Range
A researcher launches a projectile with an initial speed of 25 m/s at various angles. The table belo
Evaluating Motion from Position vs Time Graph: Acceleration Analysis
Examine the following position vs time graph represented by the function $$s(t)=5*t - 0.1*t^3$$. Ans
Experimental Determination of Acceleration
In an experiment, a cart's velocity is measured over time and a velocity vs. time graph is plotted.
Free Fall Experiment Analysis
In a free fall experiment, an object is dropped from rest. Its fall is recorded in the table below.
Free Fall Experiment and Error Analysis
An experiment is conducted to measure the acceleration due to gravity using free fall.
Graph Analysis: Position vs. Time
A researcher records the motion of an object and plots its position (m) versus time (s) on the graph
Identifying Vector vs. Scalar Quantities
A table lists several physical quantities recorded during an experiment. Classify each quantity as e
Interpreting a Position vs Time Graph
A position vs. time graph for a moving car is provided in the stimulus. The graph displays three dis
Investigating Scalar and Vector Quantities: Speed vs. Velocity
Design a laboratory experiment to measure an object's speed and velocity using motion sensors and ti
Investigating Two-Dimensional Motion: Horizontal and Vertical Components
Design a comprehensive experiment to investigate two-dimensional projectile motion, specifically iso
Lab Analysis of Distance vs. Displacement
In this experiment, a small cart is propelled along a straight track by a compressed spring. A motio
Momentum and Force in Collisions Experiment
In a collision experiment on an air track, a moving cart collides with a stationary block. A force s
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
Non-uniform Acceleration Analysis
An experiment records the motion of an object experiencing non-uniform acceleration. The velocity vs
Non-Uniform Acceleration and Displacement
An object's velocity changes in a non-uniform manner over time. Given the velocity function $$v(t)=t
Pendulum Length and Period Experiment
In a pendulum experiment designed to investigate the relationship between length and period, student
Position vs. Time Graph Analysis
A position vs. time graph of an object’s motion displays two distinct segments: one linear and one c
Position, Velocity, and Acceleration Lab on a Moving Cart
A cart on a frictionless track is equipped with a position sensor that records its position over tim
Projectile Motion Analysis
A ball is launched from the ground with a given initial speed and launch angle. Use the equations of
Projectile Motion Analysis
A ball is thrown with an initial speed of $$20 \;m/s$$ at an angle of $$30^\circ$$ above the horizon
Projectile Motion Analysis from Graph Data
A graph of a projectile's vertical position versus time is provided. Analyze the graph to extract ke
Projectile Motion with Ramp Launch
A car drives off a ramp with a speed of 15 m/s at an angle of 20° above the horizontal. The end of t
Projectile Motion with Varying Launch Speeds
A researcher investigates how changes in the launch speed $$v_0$$ affect the range of a projectile l
Relative Motion: Moving Walkway Problem
A person walks on a moving walkway at a speed of 1.5 m/s relative to the walkway. The walkway moves
Robot Navigation: Multiple Vector Addition
A researcher programs a robot to move in the following sequence: 1. 80 m due east, 2. 60 m at 30° no
Simulated Impact Test: Speed and Velocity
In a crash simulation lab, a test vehicle decelerates from a high speed and various sensors record i
Speed vs. Velocity Measurement Error
A student uses a photogate sensor to measure the speed of a cart moving along a straight track. The
Uniform Acceleration: Big Five Equations Validation
You are tasked with validating the Big Five Equations of Motion using experimental data from a unifo
Uniformly Accelerated Car
A car starting from rest accelerates uniformly along a straight road and then decelerates uniformly
Uniformly Accelerated Free Fall Analysis
A rock is dropped from a building and its motion is analyzed using both kinematics and a provided ve
Uniformly Accelerated Motion and BIG FIVE Equations Lab
A lab experiment involves releasing a cart from rest down a ramp to study uniformly accelerated moti
Uniformly Accelerated Motion for a Car
A car starting from rest accelerates uniformly with an acceleration of $$a = 3 \;m/s^2$$ for a time
Uniformly Accelerated Motion with the BIG FIVE Equations
This question requires you to apply the BIG FIVE equations of motion to analyze uniformly accelerate
Vector Addition: Calculating Net Force
This question requires you to resolve force vectors into components and determine the net force acti
Analysis of System Equilibrium on a Rough Surface
A block is placed on a horizontal rough surface. A gradually increasing horizontal force is applied
Applied Force Direction and Acceleration
Design an experiment to investigate how the angle at which a force is applied affects the accelerati
Applying Newton's Second Law
Investigate Newton's Second Law through both theoretical derivation and experimental data.
Block on an Inclined Plane with Friction Analysis
A block of mass $$m$$ slides down an inclined plane with an angle $$\theta$$. The coefficient of kin
Circular Motion on a Banked Curve
A car of mass $$m$$ travels at speed $$v$$ along a banked circular road of radius $$r$$ and banking
Comparing Gravitational and Inertial Mass
In a laboratory experiment, a student measures the gravitational force on an unknown mass using a sp
Designing a Multi-Factor Experiment for Vehicle Safety Dynamics
Design a comprehensive experiment to investigate how various forces (such as friction, tension, and
Designing a Safety System Using Dynamics Principles
Engineers are designing a safety harness system for vehicles to minimize forces on passengers during
Dynamic Analysis of a Multi-car Train
A train consists of three cars, each with a mass of 5000 kg, pulled by a locomotive that provides a
Dynamics Experiment 5: Dynamic Force Sensor Calibration
A student performs an experiment using a digital force sensor to quantify the net force acting on a
Dynamics FRQ #6: Circular Motion on a Banked Curve
A car of mass 1500 kg is rounding a frictionless banked curve of radius 50 m. The curve is banked at
Dynamics FRQ #9: Newton's Third Law in Action
Two ice skaters are initially at rest on frictionless ice and push off against each other. Skater A
Dynamics FRQ #20: Tension and Acceleration in a Complex Pulley System
Consider a system where two masses, $$m_1 = 4.0\,kg$$ and $$m_2 = 6.0\,kg$$, are connected by a rope
Dynamics in Explosive Recoil Systems
Analyze the dynamics involved in explosive recoil systems and design an experiment to measure recoil
Dynamics of a Rotating Rod Experiment
Students investigate the angular acceleration of a rod pivoted at one end by applying a force at its
Dynamics of a Sliding Block with Varying Force
A block of mass $$m$$ slides on a horizontal surface with a coefficient of kinetic friction $$\mu_k$
Dynamics Problem 1: Inertia and Motion on a Frictionless Surface
A block of mass $$m = 5\ kg$$ is placed on a frictionless horizontal surface. Initially, the block i
Dynamics Problem 16: Investigating Friction Coefficients in a Lab
In a laboratory experiment, students measure the static and kinetic friction coefficients for a bloc
Dynamics Problem 18: Effects of Air Resistance on Free-Fall
An object in free-fall is subject not only to gravity but also to a constant air resistance force $$
Dynamics with Air Resistance Approximation
An object of mass 4 kg is dropped and experiences air resistance acting upward with a constant force
Dynamics with Variable Friction: Motion on a Rough Surface
A 6 kg block starts from rest and is pushed along a horizontal surface by a constant force of 40 N.
Effect of Friction on a Moving Object on an Inclined Plane
An object slides down an inclined plane where friction plays a non-negligible role. A researcher inv
Energy and Dynamics: Understanding Work and Force
A researcher studies the work done on an object as it is pushed up a ramp. The investigation examine
Energy and Newton's Laws: Work Done Against Friction
A box of mass 8 kg is pushed over a distance of 5 m on a rough horizontal surface. The coefficient o
Evaluating Newton's Third Law in Action-Reaction Pairs
A researcher investigates the force interactions between a person and a boat when the person jumps o
Evaluating Satellite Motion: Gravitational Force and Newton's Laws
A recent aerospace report claims that satellites in low Earth orbit experience slightly lower gravit
Force Analysis on a Rotating Platform
A 70 kg person stands on a rotating platform of radius 2 m. The platform rotates with an angular spe
Friction and a Block on an Incline
A block with mass $$m = 2 * (kg)$$ is placed on an incline with an angle of $$30^\circ$$. The experi
Friction on a Horizontal Surface
A 10 kg block is pushed along a horizontal surface. An applied force of $$30\ \text{N}$$ acts on the
Frictional Force and Acceleration Experiment
Students investigate the relationship between applied force and acceleration on a dynamics cart by a
FRQ5: Dynamics on an Inclined Plane
A cart is allowed to slide down a nearly frictionless inclined plane at varying angles. Study the da
FRQ19: Elevator Dynamics: Tension and Acceleration
An experiment on an elevator involves measuring the cable tension for different elevator masses and
Impact of Non-Inertial Frames on Newton's Laws
When observing motion in a non-inertial frame, fictitious forces appear in the analysis of dynamics.
Impulse and Momentum in Collisions
During collisions, the impulse delivered to an object is closely related to its change in momentum.
Inclined Plane Friction Experiment
A block is released from rest on an inclined plane and slides down while its acceleration is measure
Investigating Acceleration in Circular Motion
An object moves in a circle of radius $$r$$ with a constant speed $$v$$.
Investigating Circular Motion and Centripetal Force
A mass is attached to a string and swung in a circle on a horizontal plane. The researcher investiga
Investigating Gravitational vs Inertial Mass
In an experiment, a cart is placed on a low-friction track. A known net force is applied to the cart
Investigating Tension in a Two-Mass Pulley System
Design an experiment using a two-mass pulley system (Atwood machine) to measure the tension in the c
Measuring the Moment of Inertia of a Rotating Disk
Design an experiment to measure the moment of inertia of a rotating disk by using a falling mass tha
Motion on an Inclined Plane
A block of mass $$m$$ is placed on a frictional inclined plane with an angle $$\theta$$. Analyze the
Motion under a Variable Force
An object of mass \(m\) experiences a net force that varies with time according to \(F(t) = 2*t\) (i
Motion Under Variable Friction Conditions
A student studies the effect of different surface textures on the acceleration of a sliding object.
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
Newton's First Law in Everyday Contexts
Newton's First Law, the law of inertia, explains the persistence of motion. Apply this concept to ev
Newton's Third Law: Action and Reaction
Examine the implications of Newton's Third Law in everyday and complex scenarios.
Projectile Motion: Influence of Newton's Laws
A projectile is launched with an initial velocity $$v_0$$ at an angle $$\theta$$. Analyze its motion
Rotational Dynamics: Moment of Inertia Measurement
Students aim to measure the moment of inertia of a rotating disk by attaching small masses at known
Rotational-Translational Dynamics in a Rolling Cylinder
A student investigates a cylinder rolling down an inclined plane without slipping. The experiment in
Small Angle Pendulum Dynamics
A simple pendulum consists of a 0.75 kg bob suspended by a light string of length 1.5 m. The bob is
Tension in a Multi-Body Pulley System
Examine a complex pulley system consisting of three masses connected by two pulleys.
Torque and Rotational Equilibrium
A uniform beam with a length of 10 m and a mass of 20 kg is hinged at one end. It is maintained in e
Torque and Rotational Equilibrium on a Seesaw
Students set up a seesaw experiment to study the effects of weight distribution on torque. They plac
Vector Decomposition on an Incline
An object of mass \(m\) rests on a \(30^\circ\) inclined plane. Decompose the gravitational force in
Analysis of Free-Fall Motion Data
This problem uses experimental data on free-fall motion to validate the constant acceleration due to
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
Calculation of Gravitational Acceleration on a Different Planet
A probe lands on a small planet and records the following parameters: mass of the planet is $$5.0 \t
Centripetal Acceleration Dependency on Speed: Data Table Analysis
This problem asks you to use experimental data to analyze the relationship between speed and centrip
Centripetal Acceleration Due to Earth's Rotation
At the equator, a point on Earth's surface experiences centripetal acceleration due to the planet's
Centripetal Acceleration in a Mass-Spring System in Circular Motion
A mass attached to a spring is undergoing horizontal circular motion. The spring extends by a distan
Centripetal Force in a Roller Coaster Loop
This problem analyzes the forces acting on a roller coaster car as it navigates a vertical loop.
Centripetal Force in a Rotating Amusement Park Ride
An amusement park ride consists of a rotating circular platform. A rider with a mass of $$70 \;kg$$
Centripetal Force in Amusement Park Ride
An engineering team analyzes ride safety by measuring forces acting on riders during a circular moti
Centripetal Force with Variable Speed
A rotating platform has a mass attached that experiences different speeds over time. Initially, at t
Determining Angular Speed from Tangential Speed
A rotating disc has a marked point on its edge, and its tangential speed is measured directly. Use t
Effect of Charge Distribution on Electrostatic Force
In an experiment, two charged spheres are placed at varying separations, and the force between them
Electric Force in Circular Motion: Error Analysis
A student constructs an experiment where a charged ball is made to move in a circular path under the
Friction and Circular Motion on a Flat Curve
A car negotiating a circular turn on a flat road relies on static friction to provide the necessary
Graphical Analysis of Angular Motion
A graph showing angular displacement $$\theta$$ (in radians) versus time $$t$$ (in seconds) for an o
Investigating Free Fall using Sensor Data
An object is dropped in a vacuum chamber and its displacement is recorded over time using a high-spe
Investigating the Effects of Air Resistance on Free Fall
An experiment compares free-fall times in a vacuum versus in air for a 50 m drop. The data are summa
Liquid Spinning Experiment Analysis
In a laboratory experiment, a cylindrical container with a radius of $$0.5 \;m$$ is filled with liqu
Measuring the Effect of Friction on Circular Motion
Design an experiment to assess how frictional forces affect uniform circular motion on a track. Your
Multiple Forces in Circular Motion: Combined Gravity and Tension
A pendulum bob of mass 0.8 kg is swung in a vertical circle using a string of length 3 m. Assume the
Orbit Simulation: Satellite Motion and Gravitational Force
Design a simulation-based experiment to study how the orbital period of a satellite changes with its
Orbital Period Analysis of a Moon
A small moon orbits a planet in a nearly circular orbit. The gravitational force provides the centri
Roller Coaster Loop Dynamics
A roller coaster car of mass $$m$$ travels through a vertical circular loop of radius $$r$$. At the
Rotating Amusement Ride Analysis
An amusement park ride rotates a circular platform of radius $$r = 10\,m$$ such that riders experien
Rotational Dynamics of a Car on a Circular Track
A student simulates the motion of a car on a circular track to study centripetal force and friction.
Rotational Dynamics: Torque and Angular Acceleration
A solid disk of radius 0.5 m and mass 10 kg is subjected to a tangential force applied at its rim, c
Synthesis of Circular Motion and Energy Principles in a Pendulum
A simple pendulum with small oscillations undergoes circular motion near the bottom of its swing. (
Transition from Circular to Linear Motion
A ball is swung in a circular path with a constant speed of $$7 \;m/s$$. At a certain moment, the st
Uniform Circular Motion: Centripetal Force Calculation
This question explores the basic principles of uniform circular motion and how centripetal force is
Analysis of Power in an Oscillatory System
A mass-spring system oscillates with a mass of $$2 kg$$ attached to a spring of constant $$200 N/m$$
Analysis of Power Output in Weight Lifting
A study measures human power output by having a subject lift a weight (mass = 50 kg) vertically by 2
Analyzing Friction's Impact on Work in a Moving Block
A 2.5 kg block is pushed along a horizontal surface by a constant applied force of 15 N. The surface
Assessing Energy Loss due to Air Resistance in a Free Fall
A skydiver of mass $$80\,kg$$ jumps from a balloon at an altitude of $$3000\,m$$. After deploying th
Block on Rough Surface
A 3 kg block is projected with an initial speed of 7 m/s on a horizontal rough surface. It travels 8
Calculating Work on an Inclined Surface
A 10 kg box is pushed up a frictionless ramp inclined at 30° to the horizontal using a constant forc
Comparative Power Outputs in Different Systems
Two machines are used for similar tasks. Machine A operates at a constant power output of $$2000\;W$
Conservation of Mechanical Energy in a Roller Coaster
In a laboratory experiment, a small model roller coaster is tested on a nearly frictionless track. T
Designing an Experiment on Force Angle and Work
Design an experiment to test the hypothesis that the work done on an object decreases as the angle b
Determining Efficiency in a Simple Machine
A simple machine was tested in three separate trials. Data for each trial are provided in the table
Effects of Force Direction on Work Calculations
A sled is pulled 15 m by a force of 40 N applied at different angles. Answer the following: (a) Cal
Energy Efficiency of a Machine
A machine receives an energy input of $$1000 J$$ and converts part of this energy into useful work.
Energy Loss in a Bouncing Ball
A ball is dropped from a height of 10 m and bounces back to a height of 6 m. Answer all parts.
Energy Loss in a Frictional Slide
A sled of mass $$50 kg$$ slides down a snow-covered hill with a slope length of $$15 m$$. The sled s
Energy Transitions in a Pendulum System
A researcher investigates energy transitions in a simple pendulum system. A 1 kg pendulum is release
Evaluating Mechanical Energy during a Bounce
Analyze the experimental data from a bouncing ball that tracks bounce height and kinetic energy at i
Exploring the Relationship Between Force, Work, and Time in Athletic Performance
An athlete pushes a sled with a time-varying force given by $$F(t)= 100 - 5 * t$$ (in N) for t from
Force at an Angle: Lifting a Load
A construction worker lifts a heavy load using a rope that makes an angle of $$30^{\circ}$$ with the
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 $$
Impact of Mass on Kinetic Energy
Examine the experimental data on kinetic energy for objects with different masses but the same veloc
Inclined Plane Energy Conservation
A 4 kg block is released from rest at the top of a frictionless incline that is $$10 m$$ long and ma
Interpreting a Free-Body Diagram of a Block on an Incline
Below is a free-body diagram intended to represent a block on an inclined plane. The diagram shows t
Interpreting a Work-Energy Graph
Examine the following graph which plots the kinetic energy (KE) of an object versus its displacement
Motor Power and Efficiency
A motor lifts a 150 kg load vertically by 4 m in 10 s. The motor consumes 10,000 J of electrical ene
Pendulum Energy Conservation and Nonconservative Forces
In this experiment, a student sets up a pendulum and measures its maximum height and the speed at it
Power Output during Lifting Exercise
Investigate the experimental data from lifting exercises where work and power output are calculated.
Projectile Mechanical Energy Analysis
A researcher launches a projectile from ground level. The projectile has a mass of $$0.5 \; kg$$ and
Quantitative Analysis of Friction Work
A 2 kg block is sliding on a rough horizontal surface and comes to rest after traveling a distance o
Work at an Angle Experiment Analysis
This question presents experimental data on work done by applying a force at different angles. Analy
Work Done in Circular Motion
A 1 kg ball tied to a string is moving in uniform circular motion at a constant speed of 5 m/s in a
Work Done with an Applied Force at an Angle
A force of $$30\;N$$ is applied at an angle of $$45^{\circ}$$ to the horizontal, moving an object th
Work-Energy Calculations in a Laboratory Experiment
In a lab experiment, a cart is subjected to a constant force during three separate trials as it move
Analyzing a Force-Time Graph: Diagram Interpretation
A force versus time graph representing the force applied during a collision event is provided. Analy
Analyzing Impulse in a Bat-and-Ball Collision
In a baseball collision experiment, the following data were recorded: the ball has a mass of 0.145 k
Basic Momentum and Impulse Calculation
Consider a 2.5 kg object moving with a velocity of 3.0 m/s eastward. A constant force of 5.0 N is ap
Basic Momentum and Impulse Calculation
A 1500 kg car is moving to the right with a velocity of $$20\,\text{m/s}$$. Answer the following:
Collision and Rebound in a Roller Coaster Car
A 300-kg roller coaster car traveling at $$10 \ m/s$$ collides with a safety bumper and comes to a s
Comparing Elastic and Inelastic Collisions
Two objects with masses $$m_1 = 4\,\text{kg}$$ and $$m_2 = 6\,\text{kg}$$ are moving on a frictionle
Complex Collision Data Analysis
In an experiment involving three colliding objects, the following table provides measurements of the
Designing a Controlled Experiment for Elastic Collisions
Design an experiment to investigate the effect of varying mass ratios on the coefficient of restitut
Determining the Coefficient of Restitution using Collision Data
A ball is dropped from a height and bounces off a hard surface. Using the recorded drop heights and
Experimental Analysis of Impulse Under Variable Forces
Design an experiment to measure the impulse delivered to a cart using a force sensor that records fo
Experimental Design: Effect of Mass on Momentum
Design an experiment to investigate the hypothesis that, for a constant velocity, increasing the mas
Explosion and Momentum Conservation in a Cart System
A stationary cart of mass $$M = 4$$ kg explodes into three fragments. Two fragments, each of mass $$
Explosive Separations and Momentum Distribution
A device at rest explodes into three fragments. Data for two fragments is provided, and the momentum
Impulse Analysis from Crash Test Data
During a vehicle collision test, the force experienced by the test dummy is recorded over time. Use
Impulse Analysis with a Varying Force Profile
During a car crash test, the force experienced by the car is recorded as a function of time and show
Impulse in Sports: Baseball Analysis
A baseball of mass $$0.145$$ kg is hit by a bat. The ball accelerates from rest to $$40$$ m/s in $$0
Investigating Elastic and Inelastic Collisions
In a laboratory setup, two carts are made to collide under two different conditions: one where they
Misapplication of the Impulse-Momentum Theorem in a Rotational Setup
In this experiment, a rotating wheel is subjected to a brief, linear force impulse and sensors recor
Momentum Analysis in a Projectile Splitting
A projectile initially at rest explodes into two fragments. Fragment A has a mass of $$2 \ kg$$ and
Momentum and Safety Design in Car Crashes
Modern cars use design features like airbags and crumple zones to manage the impulse experienced dur
Momentum Transfer in Rocket Propulsion
A simplified model of rocket propulsion involves ejecting mass to generate forward momentum in a fri
Neglected Frictional Effects in Momentum Experiment
In this experiment, two carts are set to collide on a track that is assumed to be frictionless. The
Oblique Collision and Vector Decomposition
Two ice pucks are set to collide on a frictionless surface. Puck A (mass $$0.5\,kg$$) is moving at $
One-Dimensional Collision and Momentum Conservation
On a frictionless surface, Object 1 (mass = 2 kg) is moving east at 3 m/s, and Object 2 (mass = 3 kg
Perfectly Inelastic Collision: System Momentum Analysis
Two vehicles are involved in a head-on collision and lock together after impact. Vehicle A has a mas
Rebound and Energy Dissipation in Ball Collisions
A 0.25 kg ball is dropped from a height of 2 m and bounces back to a height of 1.2 m. Assume air res
Adapting SHM for Seismic Measurement
Seismometers use principles of SHM to detect and measure ground motion. Consider a design using a ma
Amplitude Effects on Oscillator Energy
A mass attached to a spring oscillates with amplitude A. The total mechanical energy is given by $$E
Calculation Error in Determining Angular Frequency
A student sets up an experiment to measure the angular frequency (ω) of a mass-spring oscillator by
Characteristic Analysis of Spring-Block Oscillator
A spring-block system oscillates with displacement described by $$x = A*\cos(\omega*t + \phi)$$. Exp
Comparative Analysis of Mass-Spring and Pendulum Systems
Compare the oscillatory behavior of a mass-spring system and a simple pendulum. (a) Write down the
Comparative Analysis: Mass-Spring vs. Pendulum SHM
Two experiments are conducted: one with a mass-spring oscillator and one with a simple pendulum. Bot
Comparative Dynamics: Pendulum vs. Mass-Spring System
Compare the dynamics of a simple pendulum and a mass-spring oscillator.
Comparing Mass-Spring and Pendulum Oscillators
Consider two systems: System A: A 0.3 kg mass attached to a spring with a spring constant k = 180 N/
Conservation of Energy in SHM
An experiment monitored the kinetic and potential energies of a mass-spring system undergoing simple
Designing an SHM Experiment
Design an experiment to study the effect of varying the spring constant (k) on the period (T) of a m
Determining System Parameters from SHM Equations
A researcher is given an equation for the displacement of a mass-spring system: $$x = 0.05 \cos(25t
Effect of Amplitude on Energy in SHM
For a mass-spring system in simple harmonic motion, the total mechanical energy is directly related
Effect of Spring Constant on Oscillation
The spring constant (k) affects the angular frequency and period of oscillation in a mass-spring sys
Error in Relating Frequency to Energy in SHM
A student investigates the relationship between frequency and total mechanical energy in a mass-spri
Experimental Determination of Spring Constant
Using experimental data, determine the spring constant of a given spring.
Exploring Non-Ideal Behaviors in SHM
In an experiment using a mass-spring system, deviations from ideal SHM are observed, including gradu
Exploring SHM in Pendulums
Examine the validity of the small-angle approximation used in simple pendulum motion.
Force Analysis in SHM: Vector Representation
The restoring force in SHM is given by Hooke’s Law: $$F = -k*x$$. (a) Explain the significance of t
Mass-Spring SHM Analysis
A mass-spring system undergoes simple harmonic motion. Analyze the motion by deriving the relationsh
Measurement of Angular Frequency from Velocity Data
A mass-spring oscillator’s velocity was measured at various times, and the data are presented in the
Misapplication of Hooke's Law in Oscillatory Force Experiment
A student examines the relationship between displacement and force in a spring system. In the experi
Non-Ideal SHM: Measurement Uncertainty
Investigations of SHM in a laboratory setting are subject to various sources of measurement uncertai
Oscillation Period with Varying Spring Constant
An experiment examines a mass-spring oscillator using different springs with varying spring constant
Pendulum Period Calculation
A simple pendulum of length $$L$$ swings under the influence of gravity $$g$$. The period of a pendu
Pendulum Period Measurement Error
A student conducts an experiment using a simple pendulum to study the relationship between the lengt
Phase Relationship in SHM: Displacement and Velocity
In a mass-spring system undergoing SHM, the displacement is given by $$x = A \cos(\omega t + \phi)$$
Phase Shift Effects on Energy Distribution in SHM
A study of a mass-spring oscillator produced a graph showing the kinetic and potential energies as f
Resonance in Driven Damped Oscillators
A driven, damped oscillator is described by the equation $$m\frac{d^2x}{dt^2}+b\frac{dx}{dt}+kx=F_0\
Rotational SHM: Physical Pendulum
An experiment is conducted with a physical pendulum, where a rigid body swings about a fixed pivot.
Time-Dependent Behavior of SHM with Phase Shift
Consider an oscillator described by $$x(t) = A \cos(\omega*t + \phi)$$. (a) Derive an expression fo
Verification of SHM Under Varying Conditions
An experiment is conducted in which both the mass and the spring constant are varied to study their
Amusement Park Ride Safety Check
An amusement park ride features a long rotating arm 10 m in length with a seat at the end. The ride
Analysis of Rotational Energy Data
An experiment measured the rotational kinetic energy of a rotating object at various angular velocit
Analysis of Rotational Equilibrium on a Seesaw
A seesaw is in rotational equilibrium. A weight of 20 N is placed 1.0 m from the pivot on one side.
Angular Displacement and Arc Length
A car is navigating a circular path with a radius of $$r = 50\, m$$, covering an arc length of $$s =
Angular Momentum Change on a Rotating Platform
A rotating platform with a moment of inertia $$5.0 kg·m^2$$ spins at $$4 rad/s$$. A 50 kg person (tr
Center of Mass in an Irregular Rotating Object
A researcher studies an irregularly shaped rotating object and claims that the object rotates about
Centripetal and Tangential Acceleration in Circular Motion
A particle moving in a circle of radius $$0.8 \;m$$ has its angular velocity increase uniformly from
Centripetal vs Angular Acceleration Misinterpretation
A student is performing an experiment with a rotating object moving along a curved path. The student
Comparative Analysis of Angular Sensors and Linear Measurement Systems
A researcher is evaluating two sensor types for measuring rotational motion in an industrial machine
Coupled Rotational Systems Analysis
A system consists of two disks connected by a frictionless axle. Disk X has mass $$4 \text{ kg}$$ an
Designing a Robot Arm: Optimizing for Rotational Motion
A robotics engineer is designing a robot arm and needs to optimize its rotational motion. Analyze th
Determining the Effect of Mass Distribution on Torque
An experiment investigates how the torque produced by a force changes with the lever arm distance. T
Dynamics of a Rotational Engine System
A rotational engine model consists of a flywheel (moment of inertia = $$5 \text{ kg*m}^2$$) subjecte
Experimental Analysis of Rotational Deceleration
A rotor is observed to decelerate uniformly, and the following data for angular velocity $$\omega$$
Experimental Verification of the Right-Hand Rule in Torque
During a demonstration, various forces are applied to a lever arm, and the resulting torque directio
Force Distribution on a Rotating Beam
In this problem, you will analyze torques produced by weights attached to a beam and determine the a
Frictional Torque on a Rotating Platform
A rotating platform initially spins at 4.0 rad/s and comes to a complete stop in 12 seconds due to f
Gyroscopic Precession Experiment Error
A student conducts an experiment on gyroscopic precession using a spinning top. The top is subjected
Rotating Disk Dynamics Experiment
A uniform disk of radius $$R = 0.5$$ m and mass 2 kg is mounted on a nearly frictionless axle. A for
Rotational Collision Dynamics
Two separate rotating bodies collide and stick together. Analyze the collision using conservation of
Rotational Dynamics in a Newton’s Cradle
In a modified Newton's Cradle setup, the collision of swinging spheres not only involves translation
Rotational Dynamics with Friction
A turntable with a moment of inertia $$I = 0.4 \;kg\cdot m^2$$ is subject to a constant frictional t
Static Equilibrium in Rotational Systems
A beam is subjected to several forces applied at different distances from a pivot point. Using the d
Testing the Relationship Between Linear and Rotational Speeds
Design an experiment to validate the relationship between linear speed and angular velocity, given b
Torque and Angular Momentum in a Rotating Machine
A rotating machine experiences varying torques over different time intervals. Use the data provided
Torque in a Non-Uniform Beam
A 2 m long beam pivots about one end. A 3 kg mass is placed 0.5 m from the pivot on one side, and a
Variable Torque and Angular Acceleration
An object with a moment of inertia of $$I = 5.0 kg·m^2$$ is subjected to different net torques over
Work and Energy Transfer in Rotational Motion
Analyze the work done on a rotating system by examining the provided graph of torque versus angular
Work-Energy Analysis in Rotational Motion
A rotating disk starts from rest and accelerates to a final angular velocity. Using the given parame
Trusted by millions
Everyone is relying on Knowt, and we never let them down.
Need to review before working on AP Physics 1: 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
No items found, we will populate this on prod.
Explore top AP notes
No items found, we will populate this on prod.
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.