Course Name: AP Physics C Mechanics
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1 Course Name: AP Physics C Mechanics Course Overview: This course covers Newtonian Mechanics with calculus methodology in depth. Content areas covered are listed in detail in the course outline below. In addition to specific instructional goals, the following broad instructional goals are addressed throughout the year: knowledge of physics concepts, theories, and phenomenon development of inquiry skills and problem solving strategies, as well as ability to design and test hypotheses independently ability to analyze and interpret data, through graphs and other appropriate methods comprehension of connections between physics and other disciplines and understanding of the changing nature of science knowledge Texts: Paul A. Tipler; Physics for Scientists & Engineers, W. H. Freeman th edition. College Board AP Physics Lab Manual. Course Requirements: This course uses calculus extensively, therefore, completion or co enrollment in calculus is required. Labs are an integral part of the course. Approximately 20 percent of class time is devoted to lab activities. All labs are hands on and student directed, unless otherwise noted. All labs take one class period, unless otherwise noted. Students are provided with a problem or question and appropriate equipment, and then work in small groups to devise an experiment that will address the problem or question. Students are expected to collect data that will lead to a conclusion. Collaboration and peer assistance are critical to success in labwork. Each student is required to maintain a lab portfolio.
2 AP Physics C Outline Instructional Days/Chapter Problem Sets I. Newtonian Mechanics 50% 1 Class Introductions/Policies A. Kinematics (including vectors, d, v, a) 4 Chapter 3 Vectors 1. Motion in one dimension vector notation p 75 #5, 6, 7, 8, 10, 15, 16, 18, 19, Motion in two dimensions, vector addition and multiplication including projectile motion one dimensional motion using the kinematic equations p. 172 #23, 25, 26, 28 two dimensional motion, including projectile motion p. 313 #5, 6, 8, 9 Error Analysis Slopes of Motion Graphs Graphing Data Review 5 Chapter 2 Kinematics Displacement, Speed, Velocity, Acceleration Kinematic Equations Freefall Graphical Analysis of Velocity and Acceleration Chapter 2 Problems: #7, 12, 14, 20, 36, 39, 40, 57, 66, 72, 73, 76 Graphing Acceleration Problem 5 Chapter 3, Two and Three Dimensional Motion Kinematics in Two Dimensions Projectiles Relative Velocity chapter 3 Problems: #33, 37, 39, 43, 47, 58, 64, 70, 77, 106 B. Newton's laws of motion 5 Chapter 4 Forces (including friction and centripetal force) Limits and Derivatives Limit Activity 1. Static equilibrium (first law) Newton's 1st Law Limits and Derivatives 2. Dynamics of a single particle (second law) Newton's 2nd Law derivatives and kinematics, Chapter 4 prob: 3. Systems of two or more bodies (third law) Newton's 3rd Law #16, 47, 49, 51, 55, 65, 68, 69, 78, 82, 95, 6 Chapter 5 Friction chapter 5 problems: Applications of Newton s Laws #12, 15, 18, 21, 22, 28, 38, 42, 58, 76, 98 Friction Dynamics of Circular Motion
3 Drag Forces
4 D. Work, energy, and power 12 Chapters 6 & 7 Work & Conservation of Energy 1. Work and work energy theorem Work, Energy, and the Integral Chapter 6 Problems: #10, 14, 15, 27, 29, 43, 46, 62, 63, 68, 86, Conservative forces and potential energy Work Energy Theorem 3. Conservation of energy Conservative and Non conservative Forces Chapter 7 Problems: 4. Power The Conservation of Mechanical Energy #6, 9, 12, 17, 29, 51, 82, 89, 95, 97 Power Work Done by a Variable Force E. Systems of particles, linear momentum 9 Chapter 8 Center of Mass, Impulse, & Momentum 1. Center of mass Impulse Momentum Theorem 2. Impulse and momentum Conservation of Momentum 3. Conservation of linear momentum, collisions Collisions One and Two Dimensional Center of Mass Chapter 8 Problems: #7, 9, 14, 18, 23, 33, 35, 49, 69, 89, 94, Chapter 14 Oscillations Chapter 14 Problems #6, 7, 10, 15, 22, 44, 55, F. Oscillations and Gravitation Simple Harmonic Motion 105, 107, Simple harmonic motion Simple Spring and SHM (dynamics and energy relationships) Reference Circle and SHM 2. Mass on a spring Energy and SHM 3. Pendulum and other oscillations The Pendulum 4. body in orbit under influence of gravitational forces Stress, Strain, and Hooke's Law C. Circular motion and rotation 4 Chapter 12 Torque & Static Equilibrium Chapter 12 problems: #4, 17, 22, 23, 30, 41, 45, 1. uniform circular motion Conditions for Equilibrum 72, 75, Angular Momentum & its Conservation Static Equilibrium 3. Torque & Rotational Statics 4. Rotational Kinematics & Dynamics 13 Chapter 9 Rotational Kinematics & Dynamics Chapter 9 Problems: Rotational Motion and Angular Displacement #5, 6, 7, 10, 13, 15 Angular Velocity and Angular Acceleration Moment of Inertia
5 Newton's second law for Rotation Rotational Kinetic Energy Rolling Motion #23, 24, 30, 33, 35, 54, 60, 96, 99, 106
6 5 Chapter 10 Conservation of Angular Momentum Torque & Angular Momentum Conservation of Angular Momentum Chapter 10 Problems: #23, 38, 50, 51, 52, 53, 77, 83 5 Chapter Eleven Gravitation Chapter 11 problems: #13, 18, 20, 43, 50, 55, Kepler's Laws 61, 63, 102, 105 Gravitational Potential Energy Gravitational Field Labs: This course will utilize laboratory exercises 1 6 (7 labs) from the College Board AP Physics Lab Guide. All labs are student directed and discovery based. In most cases students will just be given a goal, and the necessary equipment to complete the assignment. Additional labs will be selected from the following: Labs/Demonstrations Displacement Vector Activity Notes Graphs of Motion Lab I Graphs of Motion Lab II Projectile Motion Lab Using motion detectors to match graph shapes Video Analysis: use video of projectile motion and Logger Pro to analyze motion Projectile motion lab: find initial velocity of launcher measuring range, height, and launch angle Velocity lab Atwood Machine Lab Friction Lab Find instantaneous velocity of cart rolling down curved incline measuring avg. velocity with decreasing time interval Atwood Verify acceleration to mass relationship for Atwood machine Measure g on an incline lab: extrapolate g by measuring acceleration on incline, increasing angle
7 Ballistic Pendulum Lab Conservation of Energy Lab Lab Ballistic Pendulum use cons of energy and momentum to find initial velocity Lab : measure force constant of spring. Use spring to launch projectile to predict range using cons of energy
8 Crash Test Bumper Using the air tracks, a pulley, set of masses, and stop watches: Use force probes and motion detector to integrate force vs time graph to find impulse SHM lab Inertial Balance lab Analyze motion of spring oscillator using motion detector; fit equation to graph Turning Point Lab calibrate inertial balance to find unknown mass Lab Torque Use metersticks, masses, and The Principal of Moments to determine unknown masses. Rotational Inertia lab Second Law for Rotation Lab use rotation apparatus to compare experimental and theoretical rotational inertia use rotation apparatus to relate linear acceleration of falling object to angular acceleration of disk rotated by cord Interactive computer demo satellites and Kepler s Laws
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