AP Physics C-Mechanics provides instruction in the following 6 content areas: Kinematics, Newton’s Laws of motion, Work, Energy and Power, Systems of Particles and Momentum, Circular motion and Rotation, Oscillations and Gravitation. The course will be focused on the application of introductory differential and integral calculus to solving problems in the content areas listed. Introductory differential and integral calculus is used throughout the course. Students will have taken calculus or will be taking it concurrently. The course utilizes guided inquiry and student-centered learning to foster the development of critical thinking skills. The course includes a lab component equivalent to 20% of the students class time. A detailed lab journal will be kept by all students.

Homework

Spring Term

March 22 Chapter 10 Problems:4, 10, 24, 34, 38, 47, 49, 50, 58, 61 March 24 Chapter 11 DEL March 25 Chapter 11 2, 6, 8, 17 March28 Chapter 11 21, 26, 28, 34, 36, 38, 41, 47, 52 and DEL 12
March 29 DEL 12
March 31 Problems 2, 5, 7, 24, 26, 28
April 1 complete and organized solutions to sample problems in the packet.
April 4th Chapter 13 Problems 8, 9, 18, 23, and an explanation of example problem 13-4 along with DEL
April 5th Problems 29, 30, 32, 89

1-7 You derived gravitational potential energy and the spring potential in groups. Be sure your notes are complete.
1-9 No notes due to technical difficulties. PE curves and relationhip to F was discussed.
1/28 please refer to 1/15 from 2011

## AP Physics C- Mechanics

Instructor- Mr.Welch

Classroom CC21

Office- 963-4747

jwelch@hyde.edu

## Table of Contents

Google classroom:

https://classroom.google.com/c/NDMwNzI4MDVa

## Course Description

AP Physics C-Mechanics provides instruction in the following 6 content areas: Kinematics, Newton’s Laws of motion, Work, Energy and Power, Systems of Particles and Momentum, Circular motion and Rotation, Oscillations and Gravitation. The course will be focused on the application of introductory differential and integral calculus to solving problems in the content areas listed. Introductory differential and integral calculus is used throughout the course. Students will have taken calculus or will be taking it concurrently. The course utilizes guided inquiry and student-centered learning to foster the development of critical thinking skills. The course includes a lab component equivalent to 20% of the students class time. A detailed lab journal will be kept by all students.Homework

March 22 Chapter 10 Problems: 4, 10, 24, 34, 38, 47, 49, 50, 58, 61Spring TermMarch 24 Chapter 11 DEL

March 25 Chapter 11 2, 6, 8, 17

March28 Chapter 11 21, 26, 28, 34, 36, 38, 41, 47, 52 and DEL 12

March 29 DEL 12

March 31 Problems 2, 5, 7, 24, 26, 28

April 1 complete and organized solutions to sample problems in the packet.

April 4th Chapter 13 Problems 8, 9, 18, 23, and an explanation of example problem 13-4 along with DEL

April 5th Problems 29, 30, 32, 89

Discussion:Important Documents

Syllabus w/ Unit Plans-

Standard Syllabus-

## Class Notes 2014

--What is Physics?/Vectors and Measurementhttp://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/v/vector-introduction-linear-algebra

http://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/linear-algebra-cross-product-introduction

http://www.khanacademy.org/math/pre-algebra/rates-and-ratios/metric-system-tutorial/v/unit-conversion#!

Defining Physics, Mechanics, and Units-APF13.jpg Defining Physics, Mechanics, and Units-APF13.jpg

Unit vectors and vector notation.jpg

approximating the radius of the earth The dot product AP 13.jpg Introduction to the cross product AP13.jpg

Finding the determinant of a 3x3 matrix The Cross Product 1 13.jpg Developing the formula for a cross product 2 13.jpg

introducing the derivative AP13.jpgIntroduction to Calculushttps://www.khanacademy.org/math/integral-calculus/indefinite-definite-integrals/fundamental-theorem-of-calculus/v/fundamental-theorem-of-calculus

https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/calculus-derivatives-1-new-hd-version

Defining position in vector notation AP13.jpg Independence of a velocities vector components AP13.jpgKinematics and constant accelerationFinding the first kinematic equation (with Calculus) Finding the second kinematic equation (with caculus ) http://www.educreations.com/lesson/view/deriving-the-kinematic-equations/1684236/?ref=app Deriving the kinematic equations from definitions of velocity and acceleration.

https://www.youtube.com/watch?v=gssrmSa7fLU

27Projectile Motion- Part 1 http://www.youtube.com/watch?v=57vdgKzBwJw Part 2http://www.youtube.com/watch?v=FRozP2_yQgcProjectile MotionPart 3 http://www.youtube.com/watch?v=6WBUaJX79EI Part 4 http://www.youtube.com/watch?v=sjevM5gOt0A

Centripetal Acceleration AP13.jpg http://dallaswinwin.com/Circular%20Motion/circular-motion-calculus.htmCircular motionhttp://www.physicsclassroom.com/mmedia/circmot/ucm.cfm

Relative velocitiesRelative velocities in 1D AP13.jpg Relative Velocities in 3D AP13.jpg http://en.wikipedia.org/wiki/Relative_velocity

http://www.physicslearningsite.com/relative.html

http://www.aplusphysics.com/courses/honors/kinematics/honors_relative.html

Newton's laws, particular forces, drag, and friction.Different RFs.jpg Kinematics in different RFs.jpg Different RFs in 3d.jpg

Gravity, Friction, and the normal.jpg a review of gravity, friction and the normal force. We also covered two sample problems- The atwood machine and a man hanging from the rafters using friction.

Quick thoughts on tension, friction and the normal plus an example problem. Thoughts on Tension.jpg A block being pulled by a rope at an angle to the horizontal.jpg

## Starbucks girl learns about V terminal.jpg When F drag = kv.jpg When F drag = kv part 2.jpg

Friction and Uniform Circular Motion-- Friction and Uniform Circular Motion- Loop the Loop.jpg Friction and Uniform Circular Motion-Gravitron.jpg Friction and Uniform Circular Motion-Banked Turn, No Friction.jpgMore on Friction and Uniform Circular Motion Vmin for a car on banked track with friction.jpg Vmax is similar but friction points down plane in that example. Modify the final expression in this slide accordingly.

## Energy, Potential Energy Curves, and Conservation of Energy

Work done gravitational force KE, PE, and Work done by grav

Work done by a spring force Spring force with an applied force a sling shot problem

Work-KE for a variable force Work done by a general variable force Work Done by a Variable Force in 3D

Example: Finding the area of a curve F(x) vs x graphs and work Power

Showing Gravitations Potential Is mgh

Integral from AP example pt. 1 Integral pt 2 Conservation of mechanical energy Example problem 22

Derivative of U Classifying Equilibrium Graphing Force from U vs X plot

Problem 40 Part 1

Vocab for collisions.jpg Impulse-Momentum Theorem.jpg A car crash- Impulse Momentum.jpgMany impulses.jpgCollisions, Variable Mass systems, Impulse-momentum theoremConservation of momentum-stationary targets.jpg Conservation of momentum-moving targets.jpg two types of 2D conservation problems to expect.jpg Basics of the 2D collision.jpg Introduction to varying mass systems pt 1.jpg Introduction to varying mass systems pt 2.jpg

-my convertible rocket.jpg Finding thrust from conservation of momentum.jpg finding v from dm.jpg

https://www.khanacademy.org/science/physics/linear-momentum/momentum-tutorial/v/2-dimensional-momentum-problem

http://exploration.grc.nasa.gov/education/rocket/rktpow.html

http://hyperphysics.phy-astr.gsu.edu/hbase/rocket2.html

## Moment of Inertia and Rotational Mechanics

Rotational variables.jpg Kinematic equations for rotation.jpgThe concept of I.jpg Finding I from KE.jpg Parallel axis theorem.jpgFinding I for a rod.jpg Forces and Energy as related to rolling.jpg Rolling and Energy- sample problem.jpg

From KE to I Finding I introducing torque Linear vs. Rotational Newton's 2nd and Work sample problem with torque kinetic energy and rolling rolling down a ramp and the yo yo

Torque as a cross product/angular momentum defined Angular momentum of a system of 2 particles

https://www.khanacademy.org/science/physics/torque-angular-momentum

Torque as a cross product/angular momentum defined Angular momentum of a system of 2 particles

## Equilibrium

## Equilibrium and an practice problem. Initial assumptions. problem solution pt 1 Part 2.

## Gravitation

recalling radial fields a system of particles vs an object (gravitation) complications at earth's surface little g## Simple Harmonic Motion and Oscilators

Important terms related to SHM Kinematics and SHM Getting to Hooke's LawIdeal and Physical Pendulummechanical energy in an oscillator An angular simple harmonic oscillator (torsion pendulum)

## Class Notes 2013

## Fall

## September

9-4 Introduction-Defining Physics, Mechanics, and Units-APF13.jpg Defining Physics, Mechanics, and Units-APF13.jpg9-5 Intro to vectors- Unit vectors and vector notation.jpg

9-9 approximating the radius of the earth

9-10 The dot product AP 13.jpg Introduction to the cross product AP13.jpg

9-11 The Cross Product 1 13.jpg Developing the formula for a cross product 2 13.jpg

9-13 no notes- Group problem solving

9-16 Vector treasure hunt- no notes

9-18introducing the derivative AP13.jpg Defining position in vector notation AP13.jpg Independence of a velocities vector components AP13.jpg

9-20 Finding Kinematic Equations from the definition of constant acceleration AP 13.jpg Finding Kinematic Equations from the definition of constant acceleration 2 AP 13.jpg http://www.educreations.com/lesson/view/deriving-the-kinematic-equations/1684236/?ref=app Deriving the kinematic equations from definitions of velocity and acceleration.

9-21 using vernier detectors, no notes

9-23 ball drop and walking a x vs t graph lab, no notes

9-27Projectile Motion- Part 1 http://www.youtube.com/watch?v=57vdgKzBwJw Part 2http://www.youtube.com/watch?v=FRozP2_yQgc

Part 3 http://www.youtube.com/watch?v=6WBUaJX79EI Part 4 http://www.youtube.com/watch?v=sjevM5gOt0A

## October

10-6Centripetal Acceleration AP13.jpg10-9 Relative velocities in 1D AP13.jpg Relative Velocities in 3D AP13.jpg

10-23Newton's Laws AP13.jpg

10-25Thoughts on Tension.jpg

10-30 Drag Lab

## Winter

## December-

## 12-3-Basic Definitions of Work and Energy.jpg

12-6Work Done by a General Variable Force.jpg Work Done by a General Variable Force (version 2).jpg## Spring

4/1## Class Notes 2012:

## Fall

## September

9-4 a first glance at position vectors first lesson and HW9-5 No notes saved from this session.

9-7 Unit vectors and vector notation.jpg The dot product.jpg

9-8 Displacement vector vs path.jpg we also reveiwed some home work, and began to discuss the cross product.

9-11 http://mathinsight.org/cross_product_formula Finding determinant of 3x3 matrix.jpg

9-17 No Notes- discussed the relevance of the derivative and integral to physics.

9-18 defining motion 1.jpg defining motion 2.jpg defining motion 3.jpg defining motion 4.jpg defining motion 5.jpg

9/19 No Notes- Worked with logger pro in class and compared a,v, and x graphs for a track rolling down an inclined plane. Note the derivative of a is v, the derivative of v is x. Related this to the graphs, curved, straight line w/ non zero slope, straight line with no slope.

9/25 http://www.educreations.com/lesson/view/deriving-the-kinematic-equations/1684236/?ref=app Deriving the kinematic equations from definitions of velocity and acceleration.

## October

10-1 Projectile Motion- Part 1 http://www.youtube.com/watch?v=57vdgKzBwJw Part 2http://www.youtube.com/watch?v=FRozP2_yQgcPart 3 http://www.youtube.com/watch?v=6WBUaJX79EI Part 4 http://www.youtube.com/watch?v=sjevM5gOt0A

10-2 See last years notes on centripetal acceleration.

10-3 lab brainstorm. No Notes.

10-8 Different RFs.jpg Kinematics in different RFs.jpg Different RFs in 3d.jpg

10/10-10/15 Projectile Lab: Develop theory, Design, Build, Test! No notes- Lab due tomorrow 10/16

10/23 note taking day, take home quiz on Newton's laws.

10/24 Gravity, Friction, and the normal.jpg a review of gravity, friction and the normal force. We also covered two sample problems- The atwood machine and a man hanging from the rafters using friction.

10/26 Quick thoughts on tension, friction and the normal plus an example problem. Thoughts on Tension.jpg A block being pulled by a rope at an angle to the horizontal.jpg

## November

11/1- F drag in various situations. Follow up to the coffee filter lab. Starbucks girl learns about V terminal.jpg When F drag = kv.jpg When F drag = kv part 2.jpg11/6 Friction and Uniform Circular Motion-- Friction and Uniform Circular Motion- Loop the Loop.jpg Friction and Uniform Circular Motion-Gravitron.jpg Friction and Uniform Circular Motion-Banked Turn, No Friction.jpg

11/7 More on Friction and Uniform Circular Motion Vmin for a car on banked track with friction.jpg Vmax is similar but friction points down plane in that example. Modify the final expression in this slide accordingly.

11/8 Review Day 1--defining motion 1.jpg defining motion 2.jpg defining motion 3.jpg defining motion 4.jpg defining motion 5.jpg

Projectile Motion- Part 1 http://www.youtube.com/watch?v=57vdgKzBwJw Part 2http://www.youtube.com/watch?v=FRozP2_yQgc

Part 3 http://www.youtube.com/watch?v=6WBUaJX79EI Part 4 http://www.youtube.com/watch?v=sjevM5gOt0A

## Winter

## November

11/28- Introducing energy and work Basic Definitions of Work and Energy.jpg11/29- The Work-Kinetic Energy Theorem. Considering the W=KE Theorem.jpg

12/1- Work done by a variable force Work Done by a General Variable Force (version 2).jpg

12/4 Power Power defined as dot product of force and velocity.jpg

12/5 (worked in class on editing prelabs) No Notes

## January

1-7 You derived gravitational potential energy and the spring potential in groups. Be sure your notes are complete.1-9 No notes due to technical difficulties. PE curves and relationhip to F was discussed.

1/28 please refer to 1/15 from 2011

## February

2-1 Lab data from 2D collision lab.2-6 Impulse-Momentum Vocab for collisions.jpg Impulse-Momentum Theorem.jpg A car crash- Impulse Momentum.jpgMany impulses.jpg

2-8 Collisions and Varying Mass Conservation of momentum-stationary targets.jpg Conservation of momentum-moving targets.jpg two types of 2D conservation problems to expect.jpg Basics of the 2D collision.jpg Introduction to varying mass systems pt 1.jpg Introduction to varying mass systems pt 2.jpg

2-11 The rocket equations--my convertible rocket.jpg Finding thrust from conservation of momentum.jpg finding v from dm.jpg

2-12 no notes, completed ex problem 9-8 from the text in teams

## Spring

## March

3-21 exam corrections-no notes3-22 Refresher on rotational kinematics Rotational variables.jpg Kinematic equations for rotation.jpgThe concept of I.jpg

3-25 Moment of inertia and parallel axis theorem Finding I from KE.jpg Parallel axis theorem.jpg

3-26 Integrating to find the moment of inertai for a rod Finding I for a rod.jpg

3-29 Rolling-Energy and forces Forces and Energy as related to rolling.jpg Rolling and Energy- sample problem.jpg

## April

4-1 Torque and Angular Momentum Ways to define torque.jpg Angular momentum for two particles.jpg4-2 Conservation of angular momentum Conservation of angular momentum.jpg

4-8 and 4-9 sample problems in class. No notes.

4-15 Newton's law of universal gravitation newton

4/21 Gravity- Many particles.jpg Gravity- Shell theorem.jpg Gravity-Potential Energy.jpg

## Class Notes 2011:

## Fall

## September

9-8Vector vs Scalar basics Adding vectors in unit vector notation9-9 A helpful page for dot and cross product

9-12approximating the radius of the earth from watching a sunset Introduction to the dot product Challenge problem- 3 vector dot product and 3D vector mag

9-15magnitude of a three dimensional vector a cross product problem

9-16 problem 64 Chapter 3

Challenge! Solve this problem for a disk of unknown radius rolling with an arbitrary angular velocity.9-22Using basic calculus to find the kinematic equations pt 1 Using calculus to find the kinematic equations pt 2

9-27Kinematics in unit vector notation pt 1 Kinematics in unit vector notation pt 2 Kinematics in unit vector notation pt 3

Kinematics in unit vector notation pt 4 Kinematics in unit vector notation pt 5

9-30Finding the equation of the path and range pt 1 Finding the equation of the path and range pt 2 Finding the equation of the path and range pt 3

## October

10-4Deriving centripetal acceleration pt 1 Deriving centripetal acceleration pt 210-7Tension and friction (block sliding up a plane)

10-10Principle of superposition of vectors Newton's 1st and reference frames

10-11Projectile lab data (Data needed for projectile lab)

10-18basic acceleration from x(t)

10-20friction and critical angle

10-25 Drag Lab Summary of Purpose:Drag Lab- Summary of Purpose

10-27 Drag DerivationsTerminal Velocity from f=kv Drag coefficient (justification) Terminal velocity from f=kv^2 pt 1

Terminal velocity from f=kv^2 pt 2

10-31 Friction review-Block sliding down plane

## November

11-1 flat track w/ friction-cirular motion Gravitron- rotating carnival ride Basic angular vs. linear velocity11-2Bike on a flat track Plane in a banked turn Car on flat track with negative lift Car driving on ceiling??

11-4banked track no friction (critical theta)banked track with friction vmax vmin

## Winter

## December

12-1Defining E and W Equations for E and W 3 applications of W=KE12-2Work done gravitational force KE, PE, and Work done by grav

12-5Work done by a spring force Spring force with an applied force a sling shot problem

12-8Work-KE for a variable force Work done by a general variable force Work Done by a Variable Force in 3D

12-9 Example: Finding the area of a curve F(x) vs x graphs and work Power

## January

1-10Showing Gravitations Potential Is mgh1-12 Integral from AP example pt. 1 Integral pt 2 Conservation of mechanical energy Example problem 22

1-13 Derivative of U Classifying Equilibrium Graphing Force from U vs X plot

1-14 Problem 40 Part 1

1-15 COM part 1 COM part 2 COM part 3

## February

2-2 A disk with a disk cut out pt 1 part 2 COM of an ammonia molecule2-3A disk with a disk removed: Solution

2-7Finding the Impulse-Momentum Theorem Finding Impulse-Momentum Theorem pt II

2-14 Conservation P- simple cases Definitions related to collisions Rocket and Cargo Module Ex. Problem Solving the cargo ship problem

2-16Perfectly elastic collisions and initial conditions Conservation of momentum in 2D

2-17 Considering varying mass Considering conservation of momentum with varying mass A closer look at velocity

2-18 Deriving the first rocket equation defining thrust deriving the second rocket equation review groups and chapters

## Spring

## March

3-22 Introduction to rotational variables (no notes)3-23 From KE to I Finding I

3-26 introducing torque Linear vs. Rotational Newton's 2nd and Work sample problem with torque

3-27 kinetic energy and rolling

3-29 rolling down a ramp and the yo yo

3-30 Torque as a cross product/angular momentum defined Angular momentum of a system of 2 particles

## April

4-5 Equilibrium and an practice problem. Initial assumptions.4-9 problem solution pt 1 Part 2.

4-19 recalling radial fields a system of particles vs an object (gravitation) complications at earth's surface little g

## May

5-3 Important terms related to SHM Kinematics and SHM Getting to Hooke's LawIdeal and Physical Pendulum5-4 mechanical energy in an oscillator An angular simple harmonic oscillator (torsion pendulum)

## Powerpoint-

work and Energy.pptvectors.ppt

systems of ptcles.ppt

rotation.ppt

oscillations.ppt

Gravity quick.ppt

force and motion.ppt

Equilibrium.ppt

2D_motion.ppt1-D_motion.ppt

## Helpful Links:

What Mr. Welch is reading related to the coursehttp://www.diigo.com/list/joshuawelch/AP-Physics-C

PE curves

Funnyproblems with "Dr. J.": http://dev.physicslab.org/Compilations/Amusing.aspxProblemsHewitt'sNextTime questions: http://dev.physicslab.org/Compilations/NextTime.aspx

UTexas questions: https://quest.cns.utexas.edu/

## Demos

Fabulous videos of demonstrations done at Harvard. Check out Pendulum Waves! http://sciencedemonstrations.fas.harvard.edu/icb/icb.do?keyword=k16940&pageid=icb.page80641Novel demonstrations ("snacks") from San Francisco'sExploratorium: http://exploratorium.edu/snacks/index.html

Useful demos from Michigan Tech:

http://www.phy.mtu.edu/LECDEMO/websit/demolst.htm#1d

UC Berkeley’s Physics Demos: http://www.mip.berkeley.edu/physics/bookadx.html

Bill Beaty’s Science demos and projects – low cost yet highquality:

http://amasci.com/scied.html#demo

Brown University’s demos + :http://www.physics.brown.edu/physics/demopages/Demo/index.htm

Index list of downloadable demo movies from Wake ForestUniversity:

http://www.wfu.edu/physics/demolabs/demos/avimov/bychptr/bychptr.htm

University of Tennessee, Knoxville, Physics Demonstrations:

http://www.phys.utk.edu/demoroom/

A catalogue of demonstrations from the University ofMaryland:

http://www.physics.umd.edu/lecdem/services/demos/mainindex.htm

PhET, anamazing collection of simulations produced at the University of Colorado,Boulder. I especially love the ones onorbital motion ("My Solar System"), the photoelectric effect andnuclear fission: http://phet.colorado.edu/simulations/index.php?cat=Featured_SimsSimulationsAmazingripple tank simulation (Moire pattern, Doppler effect, etc.): http://www.falstad.com/ripple/

Kepler's LawsSimulations - A good set of simulations showing Kepler's Laws for the planetsin our Solar System as well as custom made orbits.

http://astro.unl.edu/naap/pos/animations/kepler.html

Amazingsimulation allowing you to probe the universe and see planets, stars, galaxies,orbits, spaceship trajectories, etc.: www.shatters.net/**celestia**/

Agood collection of simulations called physics "applets":

http://www.walter-fendt.de/ph14e/index.html

Explanations and simulations concerning atomic and nuclearphysics:

http://library.thinkquest.org/17940/

One of many sites for downloading Gravitation Ltd. (fororbital motion, using Apple computers):

http://free-game-downloads.mosw.com/abandonware/pc/educational_games/games_e_m/gravitation_ltd_.html

Collision simulator: http://www.blackgold.ab.ca/ict/Division4/Science/Div.%204/collisions/index.htm

## Of the utmost importance!

http://www.flickr.com/photos/phyz/sets/72157625985944742/<iframe width="800" height="500" frameborder="0"

</iframe>