Advanced Placement Physics C – Mechanics

Syllabus

"To one, science is an exalted goddess; to another it is a cow which provides him butter.”

Friedrich Von Sciller

"The most beautiful thing we can experience is the mysterious. It is the source of all-true art and

science. Never stop questioning."

Albert Einstein

Welcome again to the exciting world of physics! It is my desire that you will continue to find physics an exiting and enjoyable experience, and that you will profit from this experience regardless of your future profession. Among those enrolled in a second year physics course, only a few will end up as professional physicists. But in going on to become engineers, chemists, or biologists, a far greater will need knowledge of, and understanding of physics. This course will follow an advanced placement physics format for scientists and engineers. The method of writing lab reports is common in both science and engineering disciplines. Most students will be taking a calculus course concurrently. The mathematical principles will be derived in class showing the rigorous and shortcuts. Throughout mathematical concepts are introduced as needed for the physics being discussed. if you are not taking calculus, you may need to pay special attention to these areas, but you should not worry too much.

If you need additional help, feel free to drop by before or after school. The important thing

is not to stop questioning.

Textbooks

Fundamentals of Physics Extended, Ninth Edition David Halliday, Robert Resnick, Jearl Walker

November 2010, ©2011
This book arms engineers with the tools to apply key physics concepts in the field. A number of the key figures in the new edition are revised to provide a more inviting and informative treatment. The figures are broken into component parts with supporting commentary so that they can more readily see the key ideas. Material from The Flying Circus is incorporated into the chapter opener puzzlers, sample problems, examples and end-of-chapter problems to make the subject more engaging. Checkpoints enable them to check their understanding of a question with some reasoning based on the narrative or sample problem they just read. Sample Problems also demonstrate how engineers can solve problems with reasoned solutions.

Loyd, David. Physics Laboratory Manual (Paperback) 2nd Edition
This logically organized manual is intended for use in a two-semester introductory physics course, either calculus- or algebra/trigonometry-based, and may be used in conjunction with any physics text. Each experiment develops the students' intuitive abilities in physics. Most labs (35 out of 45) give students hands-on experience with statistical analysis.

Manual for Laboratory Physics- Physics Department University of Cincinnati (due to my affiliation with UC Physics, I have been given permission for the use of this manual). Labs are not taken directly from the manual but the basic ideas, procedures, and equipment are.

Resource that student should obtain- Leduc, Steven.Cracking the AP Physics B & C Exams –The Princeton Review.

You will given information to obtain access to the Book Student Companion website

http://bcs.wiley.com/he-bcs/Books?action=index&bcsId=5586&itemId=0470469080

Course Outline

A. P. Physics C

I) Introduction to Calculus and Laboratory statistics.

A) Limits, derivatives, and integrals

B) Standard deviation and error propagation

II) Mechanics

A) Kinematics (linear and rotational motion in one and two dimensions)

B) Unit Vector notation

C) Newton’s Laws of Motion

Statics and Dynamics (forces in equilibrium and in motion)

D) Work Energy Theorem, Conservation of Energy, and Power

E) System of Particles, Linear Momentum, and Conservation of Momentum and Energy

F) Circular Motion and Rotations

G) Oscillations and Universal Gravitation (math and astronomy)

If you plan on taking the AP physics exam for college credit you need to determine which test

will be accepted and which will give you the most credit. Contact your college for exact information and

guidelines. Past experience has found that the AP Physics C exam is always accepted while the AP Physics

B is not. Do not assume that this is always true! Independent study programs may need to be developed. This course will follow the AP Physics C – Mechanics guidelines.

Concepts and Principles

It is essential that you understand the basic concepts and principles before attempting to solve problems. This is best accomplished through a careful reading of the textbook before attending your lecture on the material. During the process it is useful to jot down notes /outline certain points which are not clear to you. Take careful notes in class, and then ask questions pertaining to those ideas that require clarification. Keep in mind that few people are able to absorb the full meaning of scientific material after one reading. Several reading of the notes and text may be necessary. Your lectures and laboratory work should supplement the text and clarify some of the more difficult material. You should reduce memorization of material to a minimum. Memorizing passages from the text, equations, and derivations does not necessarily mean you understand the materials. Your understanding will be enhanced through a combination of efficient study habits, discussions with other students, and your ability to solve problems.

Ask questions whenever you feel it is necessary.

Study Schedule

As a general rule, you should devote one hour of study time for every hour of class. If you are having trouble with the course, come in for additional assistance and seek the advice of former and experienced students. It is important that you avoid the practice of delaying study until a day or two before the exam. More often than not this will lead to disastrous results. Rather than an all nighter, stay on top of all of your assignments reviewing notes, homework, and quizzes periodically.

Course Assignments and Requirements

Class Participation: Class discussions are an integral part of the course. To contribute to them you must come to class prepared and on time. You are expected to demonstrate high quality performance in all aspects of this course, including completing all assigned reading in a timely manner and participating in class discussions and activities.

The following grades will be cumulative and will be your total grade

1) Homework problems and Quizzes: Homework problems will be assigned throughout the year and solutions will be subsequently provided and discussed. They are exclusively to help you learn physics; they will not be graded, and you will not be penalized for working problems differently than I would. Weekly quizzes usually will be given on the last day of each week. The results will be posted the next school day. It is the students’ responsibility to ask questions after evaluating their understanding of the material. They are for your personal guidance in keeping you informed on what I think you ought to know and your ability to succeed on the chapter tests or exams.

2) Evaluations (tests): At the conclusion of a major content area, there will be some form of evaluation activity. Notes, homework, and quizzes may sometimes be used. There will be no sharing of calculators.

Lab Portion

The AP Physics lab experience should:

1. To provide an experimental foundation for the theoretical concepts introduced in the lectures. It is important that students have an opportunity to verify some of the ideas for themselves.

2. To familiarize students with experimental apparatus, the scientific method, and methods of data analysis so that they will have some idea of the inductive process by which the ideas were originated. To teach how to make careful experimental observations and how to think about and draw conclusions from such data.

3. To introduce the methods used for estimating and dealing with experimental uncertainties, including simple ideas in probability theory and the distinctions between random (statistical) and systematic "errors." This is essential in understanding what valid conclusions can be deduced from experimental data and that, properly obtained, these conclusions are valid, notwithstanding the uncertainty of the data.

4. To learn how to write a technical report which communicates scientific information in a clear and concise manner.

5. To introduce new concepts and techniques which have a wide application in experimental science, but have not been introduced in the standard courses. These may require that the student consult additional textbooks.

The laboratory is not a contest whose object is to get the "right answer." The purpose is to learn how to gain knowledge by looking at reality, not an attempt to make reality conform to preconceptions. The important thing is to learn how to be observant, to really see what happens, and to deal with this information with the strictest integrity. And to understand, or learn to understand, the meaning of what happens.

Most of your experimental lab work will be taken from a college lab manual. The Lab report turned in represents you. The product should be neat and organized. Responses to questions should be in complete sentences. All graphs and data tables should contain titles and labeled axis. The method of writing the lab report will be discussed fully. There will be small projects such as bridges, catapults, computer problems, and online assignments. These assignments will be inquiry-based and will allow you freedom to apply your physics knowledge to complete specific tasks. Each student is required to submit a portfolio of their lab reports and related documents at the end of each quarter. Organization of this folder is worth 10% of your lab grade. It should include a Table of Contents and every Lab related assignment.

Lab reports based on experiments from Loyd manual or student-designed using the Vernier equipment will be 50 points each. Project grades vary from 50-125 points.

Detailed Course Outline

A. P. Physics C

Week 1-2

I) Introduction to Calculus and Laboratory statistics.

A) Limits, derivatives, and integrals

B) Standard deviation and error propagation

Serway Chapter 1

General Laboratory Information and lab writing, Types of errors, Mean, standard deviation, and standard error.

Introduction to limits and derivatives

Linear least squares analysis (regression), Percent error and difference, graph preparation. Report Format.

Lab- Measurement of Length ( Lloyd)

Week 3-5

II) Mechanics

A) Kinematics - 1 dimensional motion

Chapter 2

Motion of Particles

Average and Instantaneous Velocity

Uniformly accelerated motion

Acceleration due to gravity

Application to derivatives and integrals

Lab- Uniformly Accelerated Motion Using Vernier Motion Probe

Lab- Determining g on an incline Using Vernier Motion Probe

Week 6

B) Unit Vector notation and 2 dimensional motion

Chapter 3

Mathematical Application of Vectors. Unit vector notation

Week 7-8

Chapter 4

2D and 3D projectile motion.

Balistic pendulum.

Uniform Circular motion

Relative Velocity and Acceleration

Lab – Projectile Cannon

Week 9-11 C) Newton’s Laws of Motion

Chapter 5

Inertial reference frame

Galileo experiments

Mass and weight.

Newton’s 2nd law

Newton’s 3rd law 3rd law demos (balloons, tug- o- war)

Unit vectors and Newton's Laws

Lab -Force Table and Vector Addition -Loyd

Newton’s Laws and problem solving

Friction and Newton's laws

Lab - Coefficient of Friction -Loyd

Lab- Newton’s Law on the Atwood machine-loyd

Week 12-14

Chapter 6

Uniform Circular motion

Solving Problem Methods

Uniform circular motion and friction

Motion in accelerated frames

Air resistance and resistivity of fluids

Lab-Parachute Project application

Lab- Uniform Circular Motion –UC Physics

D) Work Energy Theorem, Conservation of Energy, and Power

Week 15-16 End 1st semester

Chapter 7

Work Energy Definition

Scalar product

Work as a sum of forces and displacements(integral)

Work done by a variable force

work energy theorem

Work done by gravity

Work done by a spring

Work Kinetic energy theorem

Power

Week 17-19

Chapter 8

Work done by variable force in 3-D.

Newtons gravitational force.

Conservative Forces & Potential energy.

Conservation of “Total Mechanical Energy”

Nonconservative force & friction

General work-energy theorem

Lab Conservation of spring and gravitational energy-Loyd

Statics and Dynamics (forces in equilibrium and in motion)

Week 20-22

Chapter 12

The conditions for equilibrium

Center of gravity

Examples of rigid objects in static equilibrium

Elastic properties of solids

Extra problems

US Army West Point Bridge building software

UC Bridge Building Project and Competition

E) System of Particles, Linear Momentum, and Conservation of Momentum and Energy

Week 23-24

Chapter 9

Impulse and momentum Theorem

Momentum Conservation and collisions

Momentum, energy, collisions

Lab Collision Momentum in 2 d

1 dimensional Momentum and collisions

2 dimensional collisions and energy considerations

Center of Mass

Momentum of a series of particles

Lab-The ballistic pendulum and Projectile Motion-Loyd

F) Circular Motion and Rotations

Week 25-26

Chapter 10

Rotation of a Rigid Object about a fixed axis

Angular Kinematic quantities

Rotational Energy

Moment of Inertia

Torque and angular acceleration

Work, Power, & Energy

Week 27-28

Chapter 11

Rolling Motion and angular momentum

Vector product and torque

Angular momentum of a particle and rotating rigid object

Conservation of Angular momentum

Lab-Moment of Inertia and Rotational Motion-Loyd

G) Oscillations and Universal Gravitation (math and astronomy)

Week 29-30

Chapter 15

Oscillatory Motion

Simple Harmonic Motion

Energy of a simple harmonic oscillator

SHM and UCM

Damped and forced oscillation

Lab- Pendulum approximation SHM-Loyd

Lab-Simple Harmonic Motion- Mass on a spring-Loyd

Week 31-32

Chapter 13

The law of gravity

Universal Gravitation

Newton’s synthesis/ Kepler’s laws

Gravitational field

Gravitational Potential Energy

Planetary and satellite motion

Normally we begin AP review a week before the test. The test time vary from year to year and usually the first or second week in May.

Week 33-?

AP Review

Resource that student should obtain

Leduc, Steven.Cracking the AP Physics B & C Exams –The Princeton Review.

We will complete Practice Tests from the above source along with completing old tests on the AP college board website.

After AP Test

Final Project Application- TBA

If you plan on taking the AP physics exam for college credit you need to determine which test

will be accepted and which will give you the most credit. Contact your college for exact information and

guidelines. Past experience has found that the AP Physics C exam is always accepted while the AP Physics

1 or 2 is not. Do not assume that this is always true! Independent study programs may need to be developed.

Concepts and Principles

It is essential that you understand the basic concepts and principles before attempting to solve problems. This is best accomplished through a careful reading of the textbook before attending your lecture on the material. During the process it is useful to jot down notes /outline certain points which are not clear to you. Take careful notes in class, and then ask questions pertaining to those ideas that require clarification. Keep in mind that few people are able to absorb the full meaning of scientific material after one reading. Several reading of the notes and text may be necessary. Your lectures and laboratory work should supplement the text and clarify some of the more difficult material. You should reduce memorization of material to a minimum. Memorizing passages from the text, equations, and derivations does not necessarily mean you understand the materials.Your understanding will be enhanced through a combination of efficient study habits, discussions with other students, and your ability to solve problems.