-- KINEMATICS --

Kinematics – Lecture

19 Topics

P01-010 – Measuring Time & Position

P01-020 – Particle Model

P01-030 – Position Vector

P01-040 – Displacement Vector

P01-050 – Average Velocity Vector

P01-060 – Average Acceleration Vector

P01-070 – Instantaneous Velocity

P01-080 – Instantaneous Acceleration

P01-090 – Relationship Between Velocity & Acceleration

P01-100 – Kinematic Equations with Constant Acceleration

P01-110 – Application: Free-Fall

P01-200 – Angular Position & Displacement

P01-210 – Average Angular Velocity

P01-220 – Average Angular Acceleration

P01-230 – Instantaneous Angular Velocity

P01-240 – Instantaneous Angular Acceleration

P01-250 – Relationship Between Angular Speed & Acceleration

P01-260 – Kinematic Equations for Circular Motion

P01-270 – Relating Angular and Linear Quantities

Kinematics – Problems

17 Topics

P01R2015 – Components & Dot Product

P01G2015 – Average Velocity

P01R2015 – Graphical Subtraction of Vectors

P01R2015 – Acceleration on an incline

P01R2015 – Vertical Free-fall

P01R2015 – Rising Rocket

P01G2019 – Rocket Launch

P01G2019 – Cars Racing Alongside Each Other

P01R2021 – Physics Rocks

P01R2015 – Catching the Bus

P01R2020 – Coming at Each Other

P01R2020 – Trains Crossing

P01R2015 – Highway Patrol

P01G2007 – Balls Colliding in Mid-air

P01G2008 – Passing a Car

P01R2015 – Furiously Fast

P01R2015 – Biking Along

-- PROJECTILE MOTION --

Projectile Motion – Lecture

7 Topics

P02-010 – Projectile Motion

P02-020 – Equations of Motion

P02-030 – Equation of the Path y = f(x)

P02-040 – Finding the Maximum Height

P02-050 – Property of the Path of the Projectile

P02-060 – Range of the Projectile

P02-070 – Launch Angle and Range Maximization

Projectile Motion – Problems

10 Topics

P02R2017 – Hats Off to Frosty

P02R2015 – Analysis of a Jump

P02R2015 – Hoop Spacing

P02G2018 – Air Drop

P02R2015 – A Ball Game

P02G2017 – Ball Toss

P02R2015 – Clearing the Edge of a Cliff

P02G2005 – Home Run

P02G2016 – Ball Thrown in the Air

P02S2010 – Tennis Ball Launcher and Mobile Target

-- NEWTON'S LAWS --

Newton’s Laws – Lecture

13 Topics

P03-010 – Force and Vector Representation

P03-020 – Common Forces: weight force

P03-030 – Common Forces: tension force

P03-040 – Common Forces: normal force

P03-050 – Common Forces: friction forces

P03-060 – Common Forces: spring force & Hooke’s Law

P03-070 – Free-Body Diagram

P03-080 – Net Force

P03-090 – Newton’s First Law

P03-100 – Newton’s Second Law

P03-110 – Newton’s Third Law

P03-120 – Application: ideal string

P03-130 – Application: ideal pulley

Newton’s Laws – Problems

22 Topics

P03G2018 – Blocks Slipping on an Incline

P03R2015 – Hanging Mass

P03R2015 – Keeping a Box at Rest

P03B2006 – Sliding or Not?

P03G2007 – Holding a Block on an Incline

P03G2008 – Holding a Block Up Against a Wall

P03G2016 – Pressing a Block Against a Wall

P03R2015 – Resting or Sliding Up an Incline

P03R2015 – Acceleration and Friction Forces

P03S2016 – Corvette Flying Off a Cliff

P03G2005 – Holding Up a Block

P03G2015 – Pushing on Three Blocks

P03S2016 – Pulling Stacked Blocks

P03R2015 – Blocks Sliding Down a Ramp

P03B2006 – Who is Pulling Who?

P03G2016 – Joint Inclines

P03G2017 – Pulling Three Blocks

P03G2018 – Pulling and Lifting

P03R2015 – Atwood Machine

P03R2015 – Acceleration Constraint

P03S2008 – Two Blocks on the Verge of Slipping

P03R2015 – Pulling Two Connected Boxes

-- CIRCULAR MOTION --

Circular Motion – Lecture

13 Topics

P04-010 – Circular Motion

P04-020 – RTZ Coordinate System

P04-030 – Direction of Acceleration

P04-040 – Components of Acceleration

P04-060 – Uniform & Non-Uniform Circular Motion

P04-070 – Period of Revolution

P04-080 – Newton’s Second Law

P04-090 – Angular Position & Displacement

P04-100 – Instantaneous Angular Velocity

P04-110 – Instantaneous Angular Acceleration

P04-120 – Relationship Between Velocity and Acceleration

P04-130 – Kinematic Equations for Circular Motion

P04-140 – Relating Angular & Linear Quantities

Circular Motion – Problems

11 Topics

P04G2016 – Lift Force on a Plane

Interconnected Masses

P04B2006 – Space Ride

P04G2017 – Toy Car

P04G2018 – Holding a Block against a Wall

P04S2016 – Sliding Around a Funnel

P04S2016 – Pendulum on Planet Vulcan

Car Rounding a Curve

P04G2019 – Semicircular Hill and Valley

P04G2005 – Flying in a Loop

P04R2015 – Around the Loop

-- WORK & ENERGY --

Work & Energy – Lecture

14 Topics

P05-010 – Energy

P05-020 – Kinetic Energy

P05-030 – Gravitational Potential Energy

P05-040 – Elastic Potential Energy

P05-050 – Mechanical Energy

P05-060 – Work Done by a Force

P05-070 – Calculating the Work Done by a Force

P05-080 – Conservative Force

P05-100 – Work Done by the Weight Force

P05-110 – Work Done by the Spring Force

P05-120 – Work-Kinetic Energy Theorem

P05-130 – Derivation of the Work-Kinetic Energy Theorem

P05-140 – Conservation of Mechanical Energy

P05-150 – Power and Mechanical Power

Work & Energy – Problems

15 Topics

P05D2015 – Spring Gun and Frictionless Track

P05G2007 – Package Landing on a Spring

P05S2016 – Sliding Over a Hill

P05G2019 – Block on a Vertical Spring

P05G2016 – Mass-Spring System

P05R2015 – Rough Sliding

P05G2017 – Shooting a Crate

P05G2018 – Back and Forth Between Springs

P05R2021 – Launching a Block Up a Rough Incline

P05S2016 – Sliding Down and Bouncing Back Up

P05S2015 – Sliding Across a Track

P05D2017 – Trapeze Artist and a Big Spring

P05G2019 – Pushing a Block on the Ceiling

P05G2018 – Projectile Launched from a Ramp

P05R2015 – Risky Swinging

-- GRAVITATION --

Gravitation – Lecture

16 Topics

P07-010 – Gravitational Field

P07-020 – Gravitational Force

P07-030 – The Weight Force

P07-040 – The Principle of Superposition

P07-050 – Circular Orbits: uniform circular motion

P07-060 – Circular Orbits: orbital speed

P07-070 – Circular Orbits: period of revolution

P07-080 – Gravitational Potential Energy

P07-090 – Gravitational Potential Energy for a System of Masses

PNC-07-100 – Gravitational Potential Energy and Work

P07-110 – Conservation of Mechanical Energy

P07-120 – Nature of Orbits and Mechanical Energy

P07-130 – Escape Velocity

P07-150 – Kepler’s 1st Law: law of orbits

P07-160 – Kepler’s Second Law: law of areas

P07-170 – Kepler’s Third Law: law of periods for circular orbits

Gravitation – Problems

7 Topics

P07R2015 – Accelerations Due to Gravity

P07R2015 – Orbiting Satellite

P07R2015 – Geostationary Satellite

P07S2013 – Three Orbiting Bodies

P07S2013 – Orbiting the Center of Mass

P07R2015 – Satellite Orbiting Earth

P07R2015 – Of Kepler’s Laws

MIDTERM 1 - STUDY GUIDE

Bordel – 8A 2016 Spring – Midterm 1 – L1

4 Topics

P01B2016 – Jetliner Landing

P02B2016 – Rescue Operation

P04B2016 – Banked Curve vs. Flat Curve

P05B2016 – Swinging on a Vine

Bordel – 8A 2017 Spring – Midterm 1 – L1

4 Topics

P01B2017 – Airport Connection

P04B2017 – Ball Launched from a Tube

P03B2017 – Alpinists in Danger

P05B2017 – Up the Incline

Bordel – 8A 2017 Spring – Midterm 1 – L2

4 Topics

P01B2017 – Dropped and Tossed Balls

P02B2017 – Golf Course

P04B2017 – Interconnected Masses

P05B2017 – Loop the Loop

Bordel – 8A 2018 Spring – Midterm 1 – L1

4 Topics

P01B2018 – Tiger on a Linear Hunting Path

P02B2018 – The Impressive Spit of the Archerfish

P03B2018 – Baby Bouncer

P04B2018 – Car Rounding a Curve

Bordel – 8A 2018 Fall – Midterm 1 – L2

4 Topics

P01B2018 – The Tortoise & the Hare

P02B2018 – Stranded on a Desert Island

P03B2018 – Pushing a Crate

P04B2018 – Interconnected Blocks

Bordel – 8A 2019 Fall – Midterm 1 – L2

4 Topics

P01B2019 – Stop-and-Go Traffic

P02B2019 – Water Balloon Game

P03B2019 – Water Skiing

P04B2019 – A Fairground Ride

Bordel – 8A 2020 Spring – Midterm 1 – L1

4 Topics

P01B2020 – Miniature Rocket Launch

P02B2020 – Medieval Attack Reenactment

P03B2020 – Sliding Blocks

P04B2020 – A Fun Ride

Bordel – 8A 2020 Fall – Midterm 1 – L2

4 Topics

P01B2020 – Trains Approaching

P02B2020 – Ball Thrower

P03B2020 – Blocks and Pulley

P04B2020 – Tether Ball

Bordel – 8A 2021 Spring – Midterm 1 – L2

4 Topics

P01B2021 – Brake Failure

P02B2021 – Ring Toss

P05B2021 – Ski Patrol

P04B2021 – Racing Outside of a Cone

Bordel – 8A 2023 Spring – Midterm 1 – L1

4 Topics

P02B2023 – Jump of a Grasshopper

P05B2023 – Ski Lift

P04B2023 – Cube on a Rotating Disk

P05B2023 – Boat Launch Ramp

Bordel – 8A 2024 Spring – Midterm 1 – L1

4 Topics

P02R2024 – Ball Landing on an Incline

P05B2024 – Ski Patrol

P04B2024 – Interconnected Blocks

P05B2024 – Up the Incline

-- IMPULSE & MOMENTUM --

Impulse & Moment. – Lecture

10 Topics

P06-010 – Momentum Vector

P06-020 – Newton’s Second Law in Momentum Form

P06-030 – Conservation of Momentum

P06-040 – Impulse of a Force

P06-050 – How to Calculate an Impulse

P06-060 – Impulse-Momentum Theorem

P06-070 – Inelastic & Elastic Collisions

P06-080 – Solving Strategy: perfectly inelastic collision

P06-090 – Solving Strategy: head-on elastic collision

P06-100 – Solving Strategy: off-center elastic collision

Impulse & Moment. – Problems

13 Topics

P06G2005 – Game of Catch

P06G2019 – Blocks & Compressed Spring

P06B2006 – Saving Lois?

P06G2007 – Three Colliding Blocks

P06G2017 – Sequence of Collisions

P06R2019 – Two Collisions in a Row

P06R2015 – Ballistic Pendulum

P06G2016 – Collision Between Three Masses

P06G2018 – Masses Bouncing Off Each Other

P06R2015 – Blocks Colliding

P06R2015 – Explosion of a Hockey Puck

P06R2020 – Inelastic Collision vs. Elastic Collision

P06D2009 – Fun with a Slingshot

-- TORQUE - STATICS --

Statics – Lecture

5 Topics

P09-010 – Equilibrium of an Extended Body

P09-020 – Introduction: three simple cases

P09-030 – Reminder: cross product of two vectors

P09-040 – Torque Created by a Force

P09-050 – Equilibrium Condition for an Extended Body

Statics – Problems

13 Topics

P09G2018 – Balanced Pole

P09R2015 – Ladder and Painter

P09R2015 – Resting Ladder

P09R2020 – Balanced Beam

P09S2016 – Balanced Sphere

P09R2015 – Straw Balanced Across a Glass

P09G2019 – Non-Uniform Hanging Bar

P09B2011 – Marble Quarry Crane

P09G2007 – Rod in Equilibrium

P09G2016 – Balancing a Horizontal Rod

P09G2017 – Two Balanced Rods

P09R2015 – Suspended Beam

P09R2020 – Balanced Beam with Hanging Mass

-- TORQUE - DYNAMICS --

Dynamics – Lecture

7 Topics

P10-010 – Solid Rotation

P10-020 – Angular Velocity Vector

P10-030 – Angular Acceleration Vector

P10-040 – Moment of Inertia

P10-050 – List of Moments of Inertia

P10-090 – Parallel-Axis Theorem

P10-100 – Newton’s Second Law for Rotational Motion

Dynamics – Problems

10 Topics

P10G2005 – Rotating a Disk and a Rod

P10G2016 – Rotating Cylinder

P10D2013 – Pushing a Dresser

P10D2013 – Wheel on a Hill

P10G2018 – Pushing a Door and a Box

P10R2015 – Kinematics of a Hollow Sphere

P10S2015 – Helicopter Blade

P10G2019 – Blocks & Non-ideal Pulley

P10G2007 – Pulley Lowering a Block

P10R2015 – Atwood Machine

-- TORQUE - ENERGY & MOMENTUM --

Energy & Moment. – Lecture

10 Topics

P11-010 – Angular Momentum

P11-020 – Newton’s Second Law in Angular Momentum Form

P11-030 – Conservation of Angular Momentum

P11-050 – Rolling Motion

P11-060 – Rolling w/o Slipping and Static Friction

P11-070 – Rotational Kinetic Energy

P11-080 – Rolling Kinetic Energy

P11-090 – Work Done by a Torque

P11-100 – Work-Kinetic Energy Theorem

P11-110 – Conservation of Energy for Rolling w/o Slipping

Energy & Moment. – Problems

18 Topics

P11G2019 – Biking Down a Hill

P11G2007 – Kinetic Energy of a Spool

P11G2008 – Rotating Rod

P11G2016 – Unraveling a String Wound on a Sphere

P11G2017 – Velocity of a Rolling Disk

P11G2018 – Two-Disk Pulley

P11R2015 – Down the Incline

P11G2015 – Around the Loop

P11R2015 – Rolling Without Slipping Around a Loop

P11G2005 – Pulley with Friction

P11Y2016 – Unraveling a String

P11R2015 – Atwood Machine

P11B2006 – Rusty Barn Door

P11L2021 – Momentum of a Sandbag and a Cart

P11S2017 – Spinning Bike Wheel

P11S2016 – Fleas Jumping Off a Disk

P11G2015 – Collision with a Swinging Stick

P11S2013 – All Sorts of Momentum

MIDTERM 2 - STUDY GUIDE

Bordel – 8A 2012 Spring – Midterm 2 – L2

4 Topics

P07B2012 – Orbiting Spaceship

P06B2012 – Cars Colliding

P11B2012 – Rolling up an Incline

P09B2012 – Car Rescue

Bordel – 8A 2016 Spring – Midterm 2 – L2

4 Topics

P07B2016 – Space Maneuvers

P05B2016 – Roller Coaster

P06B2016 – Fireworks

P11B2016 – Potter Wheel

Bordel – 8A 2017 Spring – Midterm 2 – L1

4 Topics

P07B2017 – Blast Off

P05B2017 – Sliding Block

P06B2017 – Ballistic Pendulum

P11B2017 – Throwing Mud

Bordel – 8A 2017 Spring – Midterm 2 – L2

4 Topics

P07B2017 – Satellite and Asteroid

P05B2017 – Ball Launcher

P06B2017 – Fun at the Arcade

P11B2017 – Spinning Wheel

Bordel – 8A 2018 Spring – Midterm 2 – L1

4 Topics

P05B2018 – Loop-the-Loop

P06B2018 – Colliding Particles

P10B2018 – Block Lowered by a Pulley

P11B2018 – A Playful Mouse

Bordel – 8A 2018 Fall – Midterm 2 – L2

4 Topics

P05B2018 – Puck on an Incline

P06B2018 – Collision with a Pendulum

P10B2018 – Dropping Anchor

P11B2018 – Ball Race

Bordel – 8A 2019 Fall – Midterm 2 – L2

4 Topics

P07B2019 – Mars & Jupiter

P05B2019 – Santa Claus Contest

P06B2019 – Lodging a Bead in a Block

P10B2019 – Dropping the Bucket into the Well

Bordel – 8A 2020 Fall – Midterm 2 – L1

4 Topics

P05B2020 – When a Pendulum Meets a Peg

P07B2020 – A Satellite Around the Earth

P06B2020 – Battle of Mudballs

P10B2020 – Pulling a Load

Bordel – 8A 2020 Fall – Midterm 2 – L2

4 Topics

P05B2020 – Bobsled Challenge

P07B2020 – Lunar Eclipse

P06B2020 – Radioactive Decay

P10B2020 – Experimental Determination of Rotational Inertia

Bordel – 8A 2021 Spring – Midterm 2 – L2

4 Topics

P05B2021 – Puck Launch

P07B2021 – Putting a Satellite in Orbit

P06B2021 – Bumper Car Collision

P11B2021 – Hoisting Device

Bordel – 8A 2023 Spring – Midterm 2 – L1

4 Topics

P05B2023 – When a Pendulum Meets a Peg

P07B2023 – Changing Orbits

P06B2023 – Elastic Collision Between Pucks

P10B2023 – Double Pulley

-- FLUIDS --

Fluids – Lecture

10 Topics

P12-010 – Definitions for Fluids

P12-020 – Mass Density & Pressure

P12-030 – Fundamental Equation of Hydrostatics

P12-040 – Hydrostatic Pressure in a Uniform Gravitational Field

P12-050 – Buoyant Force & Archimedes’ Principle

P12-060 – Floating Condition and Neutrally Buoyant Objects

P12-070 – Pascal’s Principle

P12-090 – Volume Flow Rate & Mass Flow Rate

P12-100 – Continuity Equation

P12-110 – Bernoulli’s Equation

Fluids – Problems

14 Topics

P12G2005 – Floating Glass Beaker

P12G2007 – Boat with a Ballast

P12G2016 – Floating Cylinder

P12G2019 – Anchored Barge

P12R2015 – U-Shaped Tube with Oil and Water

P12R2015 – The Hidden Part of the Iceberg

P12G2018 – Piece of Iron with Cavities

P12G2016 – Flow Through a Horizontal Pipe

P12G2019 – Large Hole in Water Tank

P12G2008 – Hose Draining a Tank

P12G2015 – Flow Through a Pipe

P12G2017 – Flow Through Pitot Tube

P12G2018 – Narrow Pipe on a Tank

P12G2007 – Water Leaking Out of a Tank

-- OSCILLATIONS --

Oscillations – Lecture

18 Topics

P13-010 – Oscillatory Motion

P13-020 – Definitions: period, frequency, and amplitude

P13-030 – Modeling Oscillations Mathematically

P13-060 – Methods to Determine the Phase Constant

P13-040 – Velocity & Acceleration of Oscillations

P13-050 – Maximum Speed and Maximum Acceleration

P13-070 – Review: second-order differential equations

P13-080 – Classic Oscillators: horizontal mass-spring oscillator

P13-090 – Classic Oscillators: vertical mass-spring oscillator

P13-100 – Classic Oscillators: simple pendulum

P13-110 – Classic Oscillators: physical pendulum

P13-120 – Classic Oscillators: torsional pendulum

P13-130 – Conservation of Energy: horizontal oscillator

P13-140 – Conservation of Energy: vertical mass-spring oscillator

P13-150 – Conservation of Energy: simple pendulum

P13-160 – Conservation of Energy: physical pendulum

P13-170 – Conservation of Energy: torsional pendulum

P13-180 – Springs in Series or in Parallel

Oscillations – Problems

11 Topics

P13R2015 – Mathematics of Oscillations

P13R2015 – Springs in Series and in Parallel

P13G2008 – Oscillating Block

P13G2017 – Horizontal Oscillator

P13G2019 – Mass of an Oscillating Block

P13R2015 – Superposed Oscillating Blocks

P13R2015 – Choosing a Torsional Constant

P13G2015 – Collision then Oscillations

P13G2018 – Mass Dropped on an Oscillator

P13R2015 – Energy of a Horizontal Oscillator

P13R2015 – Energy of a Simple Pendulum

-- CALORIMETRY --

Calorimetry – Lecture

7 Topics

P15-010 – Thermal Equilibrium: the zeroth law

P15-020 – Temperature Scales

P15-030 – Thermal Expansion of Solids

P15-040 – Phase Change of a Pure Compound

P15-050 – Heat

P15-060 – Calorimetry

P15-070 – Specific Heat & Latent Heat

Calorimetry – Problems

9 Topics

P15B2015 – Alcohol Thermometer

P15R2015 – Conduction Through Different Slabs

P15G2017 – Water Vapor and Ice

P15R2015 – Cooling of a Metal Disk

P15R2015 – Heating an Ice Cube

P15R2020 – Whiskey on the Rocks

P15G2016 – Ice Cube in Water

P15R2009 – Magic Shell

P15G2018 – Composition of Final Mixture

-- 1st LAW OF THERMODYNAMICS --

First Law – Lecture

11 Topics

P17-010 – Thermodynamic Transformations of a System

P17-020 – PV Diagram & Processes

P17-030 – Internal Energy

P17-040 – First Law of Thermodynamics

PNC-17-050 – Work Done by an Ideal Gas

P17-060 – Heat Transfer for an Ideal Gas

P17-070 – Free Expansion

P17-080 – Thermal Devices

P17-090 – Heat Engine

P17-100 – Efficiency of a Heat Engine

P17-110 – Carnot Cycle

First Law – Problems

13 Topics

P17G2007 – Ideal Gas in a Cylinder

P17R2015 – Final Height of a Piston

P17R2015 – Gas Compression

P17R2015 – Cylinder with Moving Piston

P17G2007 – Work and Heat over a Cycle

P17G2008 – Mystery Process

P17G2016 – Thermodynamic Cycle

P17G2017 – Three-Step Cycle

P17G2018 – Heat Transfer over a Cycle

P17G2019 – Cycle with Linear Segment

P17G2015 – Cycle of a Monatomic Gas

P17L2015 – Solar Energy for Air Conditioning

P17R2015 – Engine or Refrigerator

1 of 2

P01G2019 – Rocket Launch

Physics 8A – Fall 2024 (Bordel) Kinematics – Problems P01G2019 – Rocket Launch

Rocket Launch

A rocket rises vertically, from rest, with an acceleration of $3.2\ m/s^2$ until it runs out of fuel at an altitude of $950\ m$. After this point, the only force that acts on it is gravity.

1. What maximum altitude does the rocket reach before it starts falling back to the ground?

2. What is the speed of the rocket just before it hits the ground?

3. How much time altogether does it spend in the air, from launch to when it hits the ground?