The Science Cube · Course Map

AP Physics 1: Course at a Glance


Every unit, topic and lesson in the course — laid out the way the College Board maps its own AP Physics 1 exam, with the official exam weighting attached to each unit. The full course is free while it's being built out.

What it is

An algebra-based introductory physics course — equivalent to a first-semester college mechanics course. Prerequisite: Geometry, with Algebra II taken concurrently.

How it's taught

The official framework asks for 25% hands-on, inquiry-based work. On The Science Cube, every lesson meets that through an interactive simulation instead of a lab writeup.

How it's organized

8 units, sequenced the way the College Board's own course framework orders them — the same order used in most college mechanics textbooks.

Exam Weighting — Multiple-Choice Section, AP Physics 1 Exam

Units of InstructionExam Weighting
Unit 1: Kinematics10–15%
Unit 2: Force and Translational Dynamics18–23%
Unit 3: Work, Energy and Power18–23%
Unit 4: Linear Momentum10–15%
Unit 5: Torque and Rotational Dynamics10–15%
Unit 6: Energy and Momentum of Rotating Systems5–8%
Unit 7: Oscillations5–8%
Unit 8: Fluids10–15%

Weighting and pacing reflect the College Board’s official AP Physics 1: Algebra-Based Course and Exam Description (effective Fall 2024). Lesson counts below are The Science Cube’s own breakdown of each topic.

Science Practices — spiral through every unit

1

Creating Representations

Create diagrams, graphs, and sketches that depict physical phenomena.

2

Mathematical Routines

Derive, calculate, estimate, or predict using logical mathematical pathways.

3

Scientific Questioning & Argumentation

Design experimental procedures, analyze data, and justify claims with evidence.

Click any unit, topic, or lesson to expand it.

Course at a Glance

Unit1 Kinematics 5 topics · 23 lessons
~12–17Class Periods*
10–15%AP Exam Weighting*
23TSC Lessons
1.1 Scalars and Vectors in One Dimension 3 lessons
1.1.1 Scalars vs Vectors
  • Definition of a scalar quantity
  • Definition of a vector quantity
  • Examples of scalars in mechanics (mass, time, distance, speed)
  • Examples of vectors in mechanics (displacement, velocity, acceleration, force)
  • Why direction matters in physics
1.1.2 Representing Vectors in One Dimension
  • Sign convention as direction in 1D
  • Choosing a positive direction (coordinate axis)
  • Vector notation (arrow notation, bold notation)
  • Magnitude vs signed value of a 1D vector
1.1.3 Adding and Subtracting 1D Vectors
  • Vector addition with sign convention
  • Vector subtraction as adding the negative
  • Net vector quantity in 1D
  • Common student errors with signs
1.2 Displacement, Velocity and Acceleration 5 lessons
1.2.1 Position and Displacement
  • Position as a coordinate
  • Displacement as change in position (Δx)
  • Distance vs displacement
  • Sign of displacement and direction
  • Displacement over multiple intervals
1.2.2 Speed and Velocity
  • Speed as a scalar
  • Velocity as a vector
  • Average velocity formula and meaning
  • Average speed formula and meaning
  • Why average speed ≠ magnitude of average velocity in general
1.2.3 Instantaneous Velocity
  • Concept of instantaneous velocity
  • Velocity as the limit of average velocity over small time intervals
  • Instantaneous speed
  • Direction of instantaneous velocity
1.2.4 Acceleration
  • Acceleration as change in velocity
  • Average acceleration formula
  • Instantaneous acceleration
  • Sign of acceleration vs direction of motion
  • Why "negative acceleration" does not always mean slowing down
  • Deceleration as a non-physics term
1.2.5 Kinematic Equations for Constant Acceleration
  • The four kinematic equations
  • When constant acceleration applies
  • Choosing the right equation for a given problem
  • Free-fall as a special case (g = 9.8 m/s²)
  • Sign conventions in vertical motion
1.3 Representing Motion 5 lessons
1.3.1 Position-Time Graphs
  • Reading position from a position-time graph
  • Slope of a position-time graph as velocity
  • Straight line vs curve interpretation
  • Reading direction of motion from slope sign
1.3.2 Velocity-Time Graphs
  • Reading velocity from a velocity-time graph
  • Slope of a velocity-time graph as acceleration
  • Area under a velocity-time graph as displacement
  • Identifying motion phases (speeding up, slowing down, at rest)
1.3.3 Acceleration-Time Graphs
  • Reading acceleration from an acceleration-time graph
  • Area under acceleration-time graph as change in velocity
  • Constant acceleration vs varying acceleration
1.3.4 Translating Between Graphs
  • From position-time to velocity-time
  • From velocity-time to acceleration-time
  • From acceleration-time back to velocity-time
  • Common student misreadings of motion graphs
1.3.5 Motion Diagrams
  • Drawing motion diagrams with position dots
  • Showing velocity vectors on a motion diagram
  • Showing acceleration on a motion diagram
  • Using motion diagrams to set up problems
1.4 Reference Frames and Relative Motion 3 lessons
1.4.1 Reference Frames
  • Definition of a reference frame
  • Choosing a reference frame for a problem
  • How motion description depends on the frame
  • Inertial reference frames (qualitative)
1.4.2 Relative Velocity in One Dimension
  • Velocity of A relative to B
  • Velocity addition in 1D
  • Same-direction vs opposite-direction motion
  • Sign convention in relative velocity problems
1.4.3 Applications of Relative Motion
  • Boats in rivers (1D component)
  • Vehicles passing each other
  • Walking on a moving walkway
  • Common reference frame problem types
1.5 Vectors and Motion in Two Dimensions 7 lessons
1.5.1 Vector Representation and Graphical Addition
  • Vectors vs scalars in 2D
  • Vector notation and magnitude-direction form
  • Graphical vector addition (tip-to-tail)
  • Graphical vector subtraction
  • Parallelogram method
1.5.2 Vector Components and Resolution
  • Resolving a vector into perpendicular components
  • Sine and cosine for components
  • Reconstructing a vector from components (magnitude and angle)
  • Adding vectors using components
  • Subtracting vectors using components
1.5.3 Position, Displacement, and Velocity Vectors in 2D
  • Position vector in 2D
  • Displacement vector in 2D
  • Average velocity vector in 2D
  • Instantaneous velocity vector (tangent to path)
  • Difference between distance traveled and displacement magnitude
1.5.4 Acceleration Vectors in 2D
  • Acceleration vector in 2D
  • Acceleration changing speed vs changing direction
  • Independence of x and y motion under constant acceleration
1.5.5 Projectile Motion (Symmetric Launch)
  • Defining assumptions of projectile motion
  • Decomposing initial velocity into components
  • Time of flight (symmetric case)
  • Maximum height
  • Range equation
  • Angle for maximum range
1.5.6 Projectile Motion (Asymmetric Launch)
  • Projectile launched from a height
  • Horizontal launch from a cliff
  • Velocity at any point along the trajectory
  • Trajectory equation (y as function of x)
  • Landing speed and angle
1.5.7 Relative Motion in Two Dimensions
  • 2D vector velocity addition
  • River-crossing problems
  • Aircraft and wind problems
  • Choosing reference frames in 2D
Unit2 Force and Translational Dynamics 9 topics · 22 lessons
~22–27Class Periods*
18–23%AP Exam Weighting*
22TSC Lessons
2.1 Systems and Center of Mass 2 lessons
2.1.1 Defining a System
  • What counts as a system
  • Internal vs external forces
  • Why system definition matters in problem-solving
  • System boundary as a choice
2.1.2 Center of Mass
  • Definition of center of mass
  • Center of mass for two-particle and multi-particle systems
  • Center of mass for symmetric objects
  • Center of mass vs geometric center
  • Motion of the center of mass under external forces
2.2 Forces and Free-Body Diagrams 3 lessons
2.2.1 Forces as Vectors
  • Force as an interaction between objects
  • Contact forces vs long-range forces
  • Common force types (gravity, normal, friction, tension, applied, spring)
  • Force as a vector quantity
2.2.2 Drawing Free-Body Diagrams
  • Isolating the object of interest
  • Drawing every force acting on the object
  • Labeling forces correctly
  • Choosing axes for the diagram
  • Common student errors in FBDs
2.2.3 Resolving Forces and Net Force
  • Decomposing forces along chosen axes
  • Computing net force in each direction
  • Magnitude and direction of the net force vector
2.3 Newton's Third Law 2 lessons
2.3.1 Action-Reaction Pairs
  • Statement of Newton's Third Law
  • Identifying action-reaction pairs
  • Pairs act on different objects (key distinction)
  • Forces in a pair are equal in magnitude, opposite in direction
2.3.2 Common Misconceptions about Third Law Pairs
  • Why third-law pairs do not cancel out
  • Distinguishing third-law pairs from balanced forces
  • Examples that confuse students (horse and cart, person walking)
2.4 Newton's First Law 2 lessons
2.4.1 Inertia and the First Law
  • Statement of Newton's First Law
  • Concept of inertia
  • Mass as a measure of inertia
  • Equilibrium (static and dynamic)
2.4.2 Applying the First Law
  • Identifying objects in equilibrium
  • Equilibrium problems with multiple forces
  • Why an object in motion stays in motion without net force
2.5 Newton's Second Law 3 lessons
2.5.1 F = ma
  • Statement of Newton's Second Law
  • Net force as the cause of acceleration
  • Mass and acceleration relationship
  • Units and direction
2.5.2 Solving Problems with the Second Law
  • Single-object Second Law problems
  • Choosing axes aligned with motion
  • Inclined plane problems
  • Connected objects (Atwood-style problems)
2.5.3 Multi-Body Problems
  • Treating connected systems
  • Internal vs external forces in multi-body systems
  • Tension in connecting strings
  • Acceleration constraints between connected objects
2.6 Gravitational Force 2 lessons
2.6.1 Weight and Gravitational Force
  • Weight as F = mg
  • Difference between mass and weight
  • Direction of gravitational force
  • Apparent weight in elevators
2.6.2 Universal Gravitation
  • Newton's law of universal gravitation
  • Inverse-square dependence on distance
  • Gravitational field strength near Earth's surface
  • Why g varies with altitude (qualitative)
2.7 Kinetic and Static Friction 3 lessons
2.7.1 Static Friction
  • What static friction does
  • Static friction as a self-adjusting force
  • Maximum static friction
  • Coefficient of static friction
  • Threshold of slipping
2.7.2 Kinetic Friction
  • Kinetic friction force
  • Coefficient of kinetic friction
  • Why kinetic friction is typically less than maximum static friction
  • Direction of kinetic friction (opposite to motion)
2.7.3 Friction in Problem Solving
  • Friction on horizontal surfaces
  • Friction on inclined surfaces
  • Friction with applied force at an angle
  • Common friction misconceptions
2.8 Spring Forces 2 lessons
2.8.1 Hooke's Law
  • Spring force formula (F = -kx)
  • Spring constant and stiffness
  • Direction of spring force (restoring force)
  • Equilibrium position vs displaced position
2.8.2 Springs in Problem Solving
  • Springs in equilibrium problems
  • Vertical springs with mass attached
  • Series and parallel spring combinations (qualitative)
2.9 Circular Motion 3 lessons
2.9.1 Uniform Circular Motion
  • Defining uniform circular motion
  • Why velocity changes even at constant speed
  • Period and frequency of circular motion
2.9.2 Centripetal Acceleration
  • Direction of centripetal acceleration
  • Centripetal acceleration formula (a = v²/r)
  • Why "centripetal" describes a direction, not a force
2.9.3 Centripetal Force
  • Net force as the source of centripetal acceleration
  • Identifying which real force provides centripetal force
  • Common scenarios (car on a curve, ball on a string, satellite, rollercoaster loop)
  • Why "centrifugal force" is not a real force in inertial frames
Unit3 Work, Energy and Power 5 topics · 14 lessons
~22–27Class Periods*
18–23%AP Exam Weighting*
14TSC Lessons
3.1 Translational Kinetic Energy 2 lessons
3.1.1 Defining Kinetic Energy
  • Kinetic energy formula (½mv²)
  • Kinetic energy as a scalar
  • Why KE depends on speed squared
  • Units of energy (joules)
3.1.2 Kinetic Energy in Problem Solving
  • KE before and after collisions or events
  • Comparing KE of different objects
  • KE and reference frame dependence (qualitative)
3.2 Work 3 lessons
3.2.1 Defining Work
  • Work as force times displacement (along force direction)
  • W = Fd cos(θ) formula
  • Work as a scalar
  • Positive, negative, and zero work
  • Work done by perpendicular forces
3.2.2 Work-Energy Theorem
  • Statement of the work-energy theorem
  • Net work as change in kinetic energy
  • Applications to single-force and multi-force problems
3.2.3 Work Done by Variable Forces
  • Work as area under a force-displacement graph
  • Work done by a spring (½kx²)
  • Comparing work of constant vs varying forces
3.3 Potential Energy 3 lessons
3.3.1 Gravitational Potential Energy
  • GPE near Earth (mgh)
  • Reference point dependence
  • GPE as energy of position
3.3.2 Elastic Potential Energy
  • Spring potential energy (½kx²)
  • PE stored in stretched or compressed springs
  • PE-displacement relationship for springs
3.3.3 Conservative vs Non-Conservative Forces
  • What makes a force conservative
  • Why friction is non-conservative
  • Path independence of conservative forces (qualitative)
3.4 Conservation of Energy 4 lessons
3.4.1 Mechanical Energy Conservation
  • Total mechanical energy (KE + PE)
  • Conservation in absence of non-conservative forces
  • Energy transformation between KE and PE
3.4.2 Energy Conservation with Friction
  • Mechanical energy lost to thermal energy
  • Work done by friction as energy "removed" from mechanical system
  • Energy bookkeeping in problems with friction
3.4.3 Energy Bar Charts
  • Drawing energy bar charts (KE, PE, thermal)
  • Initial vs final state representation
  • Bar charts as a problem-solving tool
3.4.4 Solving Conservation Problems
  • Choosing initial and final states
  • Choosing a reference for PE
  • Pendulum, rollercoaster, and projectile problems
  • Spring-mass energy problems
3.5 Power 2 lessons
3.5.1 Defining Power
  • Power as rate of energy transfer
  • Average power formula (W/t)
  • Units of power (watts)
3.5.2 Instantaneous Power
  • P = Fv formula
  • Power for constant vs variable speed
  • Real-world power examples (engines, lifts, athletes)
Unit4 Linear Momentum 4 topics · 10 lessons
~10–15Class Periods*
10–15%AP Exam Weighting*
10TSC Lessons
4.1 Linear Momentum 2 lessons
4.1.1 Defining Linear Momentum
  • Momentum formula (p = mv)
  • Momentum as a vector
  • Units of momentum
  • Comparing momentum of different objects
4.1.2 Momentum vs Kinetic Energy
  • Why two objects with same KE can have different momentum
  • Why two objects with same momentum can have different KE
  • When to use momentum vs energy
4.2 Change in Momentum and Impulse 3 lessons
4.2.1 Impulse
  • Impulse as force times time
  • Impulse formula (J = FΔt)
  • Impulse as change in momentum (impulse-momentum theorem)
  • Units of impulse
4.2.2 Force-Time Graphs
  • Area under a force-time graph as impulse
  • Constant vs varying force impulse problems
  • Average force over a collision
4.2.3 Real-World Impulse Applications
  • Crumple zones, airbags, padded surfaces
  • Why extending collision time reduces force
  • Catching a ball with bent knees
4.3 Conservation of Linear Momentum 2 lessons
4.3.1 Conservation Principle
  • Statement of momentum conservation
  • Closed/isolated system requirement
  • Why net external force must be zero
4.3.2 Solving Conservation Problems
  • Setting up before and after states
  • Vector nature of conservation (component-wise)
  • Recoil and explosion problems
4.4 Elastic and Inelastic Collisions 3 lessons
4.4.1 Types of Collisions
  • Elastic collision definition (KE conserved)
  • Inelastic collision definition (KE not conserved)
  • Perfectly inelastic collision (objects stick)
4.4.2 Solving Collision Problems
  • 1D elastic collision problems
  • 1D inelastic collision problems
  • Perfectly inelastic collisions and combined mass
  • Energy loss in inelastic collisions
4.4.3 2D Collisions (Qualitative and Component-Based)
  • Conservation of momentum in x and y separately
  • Glancing collisions
  • Splitting and recombination problems
Unit5 Torque and Rotational Dynamics 6 topics · 14 lessons
~15–20Class Periods*
10–15%AP Exam Weighting*
14TSC Lessons
5.1 Rotational Kinematics 3 lessons
5.1.1 Angular Position and Displacement
  • Angular position (θ) in radians
  • Angular displacement (Δθ)
  • Sign convention (counterclockwise positive)
  • Radians vs degrees
5.1.2 Angular Velocity and Acceleration
  • Average angular velocity (ω)
  • Instantaneous angular velocity
  • Angular acceleration (α)
  • Rotational analogues to linear quantities
5.1.3 Rotational Kinematic Equations
  • The four rotational kinematic equations
  • Constant angular acceleration applications
  • Solving rotational motion problems
5.2 Connecting Linear and Rotational Motion 2 lessons
5.2.1 Tangential Quantities
  • Tangential velocity (v = rω)
  • Tangential acceleration (aₜ = rα)
  • Centripetal acceleration in rotational form (aᵧ = rω²)
  • Relationship between linear and angular quantities
5.2.2 Rolling Connection (Preview)
  • Rolling as combined translation and rotation
  • Constraint v = rω for rolling without slipping
  • Setting up problems that mix linear and rotational variables
5.3 Torque 2 lessons
5.3.1 Defining Torque
  • Torque as rotational analogue of force
  • Torque formula (τ = rF sin θ)
  • Lever arm interpretation
  • Direction of torque (sign convention)
5.3.2 Calculating Torque
  • Torque from a single force at any angle
  • Net torque from multiple forces
  • Torque when force is perpendicular vs at an angle
  • Choice of pivot point
5.4 Rotational Inertia 3 lessons
5.4.1 Moment of Inertia
  • Moment of inertia as rotational mass
  • Definition for a point mass (I = mr²)
  • Why distance from axis matters more than mass
  • Units of moment of inertia
5.4.2 Moments of Inertia for Common Shapes
  • Solid disk, solid sphere, hollow sphere, rod, hoop
  • Reading the I formula from a reference table
  • Comparing rotational inertia for same mass, different shape
5.4.3 Parallel Axis Theorem (Qualitative)
  • Effect of shifting the axis away from center of mass
  • Why I increases when axis moves
  • Conceptual applications
5.5 Rotational Equilibrium and Newton's First Law in Rotational Form 2 lessons
5.5.1 Rotational Equilibrium
  • Net torque = 0 condition
  • Static rotational equilibrium
  • Combining translational and rotational equilibrium
5.5.2 Solving Equilibrium Problems
  • Beam and bridge problems
  • Choosing the pivot strategically
  • Hanging signs, ladders, and seesaws
5.6 Newton's Second Law in Rotational Form 2 lessons
5.6.1 Net Torque and Angular Acceleration
  • τ_net = Iα formula
  • Comparison with F = ma
  • Direction of angular acceleration
5.6.2 Solving Rotational Dynamics Problems
  • Pulleys with mass
  • Falling and rotating objects
  • Combined translational and rotational systems
Unit6 Energy and Momentum of Rotating Systems 6 topics · 14 lessons
~8–14Class Periods*
5–8%AP Exam Weighting*
14TSC Lessons
6.1 Rotational Kinetic Energy 2 lessons
6.1.1 Defining Rotational KE
  • Rotational KE formula (½Iω²)
  • Comparison with translational KE
  • KE of rotating bodies as scalar
6.1.2 Total KE for Rolling Objects
  • KE = ½mv² + ½Iω²
  • Why rolling objects have more KE than sliding objects
  • Distribution of KE between translation and rotation
6.2 Torque and Work 2 lessons
6.2.1 Work Done by a Torque
  • Work-energy formula for rotation (W = τΔθ)
  • Work-energy theorem for rotation
  • Comparison with linear work-energy theorem
6.2.2 Power in Rotational Systems
  • Rotational power (P = τω)
  • Power applications (engines, drills, turbines)
6.3 Angular Momentum and Angular Impulse 2 lessons
6.3.1 Angular Momentum
  • Angular momentum for a point particle (L = mvr sin θ)
  • Angular momentum for a rotating rigid body (L = Iω)
  • Direction and sign of angular momentum
6.3.2 Angular Impulse
  • Angular impulse formula (τΔt)
  • Angular impulse as change in angular momentum
  • Comparison with linear impulse
6.4 Conservation of Angular Momentum 2 lessons
6.4.1 Conservation Principle
  • When angular momentum is conserved
  • Net external torque = 0 condition
6.4.2 Applications of Angular Momentum Conservation
  • Spinning skater pulling arms in
  • Diver tucking and untucking
  • Collisions involving rotation
  • Astronomical applications (qualitative)
6.5 Rolling 3 lessons
6.5.1 Rolling Without Slipping
  • v = rω constraint
  • Static friction's role in rolling
  • Why rolling friction is not a separate AP topic
6.5.2 Rolling Down Inclines
  • Energy conservation for rolling objects
  • Why a hollow object rolls slower than a solid one
  • Comparing race-down-incline outcomes for different shapes
6.5.3 Slipping vs Rolling
  • When an object slips instead of rolls
  • Transition between slipping and rolling (qualitative)
6.6 Motion of Orbiting Satellites 3 lessons
6.6.1 Circular Orbits
  • Gravitational force as centripetal force
  • Orbital speed formula
  • Orbital period
6.6.2 Energy of Orbits
  • KE and PE in circular orbit
  • Total mechanical energy of an orbit
  • Why total energy is negative for bound orbits (qualitative)
6.6.3 Orbital Applications
  • Satellites and the ISS
  • Geostationary orbits
  • Comparing orbits at different altitudes
Unit7 Oscillations 4 topics · 11 lessons
~5–10Class Periods*
5–8%AP Exam Weighting*
11TSC Lessons
7.1 Defining Simple Harmonic Motion 2 lessons
7.1.1 What Makes Motion Simple Harmonic
  • Restoring force proportional to displacement
  • Equilibrium position
  • Why SHM is sinusoidal in time
7.1.2 Examples of SHM
  • Mass on a spring
  • Simple pendulum (small angles)
  • Why other oscillations may not be SHM
7.2 Frequency and Period of SHM 3 lessons
7.2.1 Period and Frequency Definitions
  • Period (T) and frequency (f) relationship
  • Units of period and frequency
  • Angular frequency (ω = 2πf)
7.2.2 Period of Spring-Mass System
  • T = 2π√(m/k) formula
  • Why period does not depend on amplitude
  • Effect of mass and spring constant on period
7.2.3 Period of a Pendulum
  • T = 2π√(L/g) formula
  • Small angle approximation
  • Why pendulum period does not depend on mass
  • Effect of length and g on period
7.3 Representing and Analyzing SHM 3 lessons
7.3.1 Position, Velocity, and Acceleration in SHM
  • Position as sinusoidal function of time
  • Velocity as derivative behavior (qualitative)
  • Acceleration relationship (a = -ω²x)
7.3.2 Graphs of SHM
  • Position-time graph
  • Velocity-time graph
  • Acceleration-time graph
  • Phase relationships between x, v, a
7.3.3 Amplitude, Phase, and Equilibrium
  • Amplitude as maximum displacement
  • Phase constant
  • Where speed is maximum vs zero
  • Where acceleration is maximum vs zero
7.4 Energy of Simple Harmonic Oscillators 3 lessons
7.4.1 KE and PE in SHM
  • KE varies with position
  • PE varies with position
  • Energy at equilibrium vs at amplitude
  • Total energy as constant (½kA²)
7.4.2 Energy Graphs and Bar Charts
  • KE vs position graph
  • PE vs position graph
  • Total energy line
  • Bar charts at different positions in the cycle
7.4.3 Energy in Spring-Mass and Pendulum Systems
  • Spring-mass energy expressions
  • Pendulum energy expressions
  • Maximum speed from energy conservation
Unit8 Fluids 4 topics · 11 lessons
~12–17Class Periods*
10–15%AP Exam Weighting*
11TSC Lessons
8.1 Internal Structure and Density 2 lessons
8.1.1 States of Matter and Fluid Behavior
  • Solids, liquids, and gases
  • Why liquids and gases are both fluids
  • Compressibility differences
8.1.2 Density
  • Density formula (ρ = m/V)
  • Units of density
  • Density of common substances
  • Density and floating/sinking (qualitative preview)
8.2 Pressure 3 lessons
8.2.1 Defining Pressure
  • Pressure as force per area (P = F/A)
  • Units of pressure (pascals)
  • Pressure as a scalar in fluids
8.2.2 Pressure in a Fluid Column
  • Pressure varies with depth (P = P₀ + ρgh)
  • Atmospheric pressure
  • Gauge pressure vs absolute pressure
8.2.3 Pascal's Principle
  • Statement of Pascal's principle
  • Hydraulic systems
  • Force multiplication in hydraulics
8.3 Fluids and Newton's Laws 3 lessons
8.3.1 Buoyant Force
  • Origin of buoyancy from pressure differences
  • Archimedes' principle
  • Buoyant force formula (F_b = ρ_fluid · V_displaced · g)
8.3.2 Floating, Sinking, and Apparent Weight
  • Condition for floating
  • Condition for sinking
  • Fraction submerged for floating objects
  • Apparent weight of submerged objects
8.3.3 Newton's Laws in Fluids
  • Free-body diagrams in fluids
  • Equilibrium of floating and submerged objects
  • Acceleration of objects in fluids
8.4 Fluids and Conservation Laws 3 lessons
8.4.1 Continuity Equation
  • Conservation of mass in fluid flow
  • Continuity equation (A₁v₁ = A₂v₂)
  • Why narrower pipes mean faster flow
8.4.2 Bernoulli's Equation
  • Energy conservation in flowing fluids
  • Bernoulli's equation form
  • Pressure, height, and speed trade-offs
8.4.3 Applications of Bernoulli
  • Lift on an airplane wing (qualitative)
  • Venturi effect
  • Fluid speed vs pressure intuitions
  • Common Bernoulli misconceptions

*Class periods and AP Exam weighting are the College Board’s official figures (45-minute periods, full academic year). They’re shown here so you can see how each unit maps to the real AP Physics 1 exam.

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