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AP Physics C: MECHANICS SYLLABUS (Scroll Down to Page 10 for E&M Syllabus! ) TEXTBOOK: Physics for Scientists and Engineers, 4th Edition, Serway.

Harcourt College Publishers, Orlando, FL, 1995. SUBJECT DAILY HOMEWORK Reading (chapt.-sect.) & Problems OBJECTIVES: When you have completed this section, you should be able to:

1.Recognize and write the SI units, with proper prefixes, for mass, length and time.

2.Use conversion tables in the text to convert one derived SI unit into another.

3.Given an equation and the SI units of all quantities, determine whether or not the equation is “dimensionally consistent”.

4.Check answers on multiple-choice assessments for correct or expected units.

Section Activities Introductions & Expectations AP F.R. Problem & Groups Measuring Reaction Times: Accuracy, Precision, & Statistical Analysis (90 min.)**

Accuracy & Precision Analyzing Data 1.1-1.3 10,14,17,19,20,21 Units and Conversions The Power of One 1.4-1.6 24-29

OBJECTIVES: When you have completed this section, you should be able to:

1.Define the terms “vector” and “scalar” and give examples of each. 2.Given a vector, determine the magnitude and direction of its components and

represent these values using i,j,k unit vector notation or vice versa.

3.Convert a given 2-dimensional vector from “polar form” (magnitude & θ Direction) into “component form” (components and unit vectors) and vice versa.

4.Given two 3-dimensional vectors, find their sum and difference both graphically and algebraically.

5.Given two vectors (in either rectangular or polar form), calculate their scalar (dot) product and the angle between the vectors.

6.Given two vectors (in either rectangular or polar form), calculate their vector (cross) product.

Section Activities “Baggin’ Some Rays”: Calculating the “apparent velocity” of the Sun (90 min.)**

Vectors: The Basics 3.1-3.3 Vector Worksheet Vector Mathematics 3.4-3.6 21-29 odd Vector Multiplication: Order Matters 3.7 42,44,45,47,50,51 Super Quiz: SI Units, Dimensional Analysis, & Vectors (Text Chapters 1 & 3)

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OBJECTIVES: When you have completed this section, you should be able to:

1.State the definitions of and identify the relationships between the following: a. Distance and average or instantaneous speed, b. Position and average or instantaneous velocity, c. Displacement and average or instantaneous acceleration.

2.For an object in linear motion, if given initial conditions and any one of the following: 1) the position of the object as a function of time, s(t); 2) its velocity as a function of time, v(t); 3) or its acceleration as a function of time, a(t), derive the expressions for the other two functions.

3.Knowing s(t), v(t) and a(t) for an object moving linearly, determine maximums and minimums and calculate instantaneous values at a given instant.

4.Create all associated motion graphs given initial conditions and two of the three graphs listed in #2.

5.Graphically determine any of the values listed in #1 given any of the corresponding motion graphs.

6.Use and apply the “4 equations of motion” in situations involving an object undergoing linear motion with constant acceleration.

7.Differentiate the following 3 types of functions with respect to distance and time: polynomials, exponentials, and trig functions.

8.Differentiate combinations of the three functions listed in #7 by using the “quotient”, “chain”, and “power” rules of basic calculus

9.Analyze the motion of an object undergoing acceleration in one dimension using derivatives.

10.Use graphical analysis, derivatives, and qualitative analysis to determine the terminal velocity of a coffee filter parachute.

11.Use PASCO Data Studio graphical analysis program and Science Workshop motion sensor probes to collect real-time data.

12.Use the AP Physics Lab Report guidelines to write a college level lab write-up about the dynamics of a coffee filter parachute.

13.Quantitatively relate and apply derivatives to motion graphs by solving problems. 14.Redefine instantaneous velocity and acceleration using derivatives and calculus.

Section Activities

Calculus Part I: Derivatives of Common Functions (120 min.)** AP Physics Lab Report Guidelines Lab #1 Coffee Filter Parachute Lab: Qualitative Analysis of Non-Uniform Accel. (150 min.)

Describing Motion in 1 Dimension 2.1-2.4 1,6,7 & Questions1-4 Motion Graph Analysis 2.5,2.6,2.8 Motion Graph W.S.

Calculus Part I: Notes Your Notes Derivatives W.S. Discuss Lab Requirements Class Discussion: Analysis of lab results Velocity and Acceleration: Using calculus and vectors to describe motion.

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Synthesis: Putting it all together OBJECTIVES: When you have completed this section, you should be able to:

1.Given a position vector in form r(t)= x(t)i + y(t)j for an object moving in 2 dimensions, sketch the path of the object.

2.Given the position of an object, r(t), determine the velocity and accelerations as functions of time and calculate their values at any instant.

3.Solve problems involving position, velocity, and acceleration for an object moving as a projectile.

4.Recognize the motion graphs of a projectile versus a non-projectile. 5.Identify that the acceleration due to gravity is constant near the surface of the

earth, that objects have constant velocity in the horizontal direction, and that velocity reaches 0 in the y-direction at the maximum height.

6.Indicate that changes in vector direction only can also be acceleration. 7.Recognize a perpendicular velocity and acceleration vector as representing circular

motion. 8.Given the speed and radius of an object moving in a circle with constant speed

(uniform circular motion), determine, a. The period and frequency b. Centripetal acceleration c. The object’s instantaneous velocity, position, or acceleration.

Section Activities Projectile Motion Activity: “Lord of the Rings” Predicting Trajectories (120 min.)**

Displacement, Velocity, 4.1-4.4 Ch. 4: 08Q,09Q Acceleration Vectors Sample 4-3 09,10,13,16 Projectile Motion: Vector notation 4.5-4.6 18,28,31,32,38,55

Uniform Circular Motion 4.7 58,64,70,71 Super Quiz – Linear Motion and Projectile Motion (Text Chapter 2 & 4) OBJECTIVES: When you have completed this section, you should be able to:

1.Define Newton’s Laws and distinguish between the three. 2.Use Newton’s Second Law to distinguish between weight and mass and calculate

each using the appropriate units. 3.Define the “normal” force and understand the situations in which it acts on an

object. 4.Given a situation where friction acts,

a. State the physical quantities that affect the magnitude and direction of the frictional force.

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b. Distinguish between the coefficient of static friction and the coefficient of kinetic friction and appropriately use each to calculate forces.

c. Determine the magnitude and direction of the friction force knowing the normal force and coefficient of friction.

d. Calculate the coefficient of static and kinetic friction using a line of best fit for a Force v. Normal force graph.

5.For any given force on an object, use Newton’s 3rd Law to identify the object on which the reaction force acts and calculate the magnitude and direction of these action and reaction pairs.

6.Given a situation where one or more forces act on an object, a. Draw a “free-body” diagram of all real forces acting on the object and

identify each force by properly labeling. b. Choose an appropriate inertial coordinate reference frame, resolve the

forces along each axis, and apply Newton’s 2nd Law in component form to create summation equations.

c. Solve the component forms of Newton’s 2nd Law for an unknown quantity. 7.Combine the above objectives with equations of motion to solve for unknowns. 8.Given one or more objects moving with circular motion, in either a vertical or

horizontal circle, a. Identify the force(s) or components of force(s) responsible for the

centripetal (or radial) force acting on the object. b. Choose an appropriate coordinate system and apply Newton’s Laws. c. For non-uniform circular motion identify both the centripetal and tangential

forces causing the motion. 9.Analyze and interpret data acquired from PASCO Science Workshop 750’s and

Data Studio software.

Section Activities Video: “Frames of Reference” (30 min.)**

Lab #2 Newton II Lab: Applying F=ma to Complex Systems (150 min.) Group Presentations for Newton II Lab

Newton’s 1st Law of Motion 5.1-5.4 Q3,Q8,Q9,Q12 Newton’s Second Law & Free-Body Diagrams 5.5-5.7 4,9,11,21 Application Examples 5.8 22,30,36,48,59,69 More Examples Friction and the Second Law 6.1,6.2 8,15,24,30,31 Friction and Circular Motion 6.4 57,63,67,70,72 Non-Uniform Circular Motion Super Quiz- Newton’s Laws (Text Chapter 5 & 6) OBJECTIVES: When you have completed this section, you should be able to:

1.Define the concept of work (no pun intended) and state, in terms of the work done on a system, whether energy is being transferred into or out of the system.

2.Determine whether the total work done on an object is positive, negative or 0.

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3.Calculate the work done on an object over a given displacement by, a. A constant force(s) b. A force, F(x) by evaluating the work integral.

4.Relate the work done by a force acting on an object to the area under a force versus position graph and use the graph to determine the change in energy of the object given initial conditions.

5.Define the kinetic energy of an object and relate it to the speed mass 6.State the “Work-Kinetic Energy Theorem” and use it to determine,

a. the change in kinetic energy of objects resulting from the net work done. b. the work done by the net force on an object given its change in speed.

7.Define average and instantaneous power and apply the appropriate relationships between power, work, time, force, velocity and kinetic energy to solve problems involving the motion of an object.

8.Use a power versus time graph to calculate the energy used over a time period.

Section Activities

Calculus Part II: Integrals of Common Functions- Areas Under Graphs (60 min.)**

Work-Energy Relationships 7.1-7.4 4,9,12,17,23,24

Calculus Part II: Integrals/Anti-Derivatives Your Notes Work Done by Variable Forces: The Integral 7.5 27,28,31,32 Energy of Springs 7.6 35-38,40 Power: The Rate of Change of Energy 7.7 43,44,47,50,51 OBJECTIVES: When you have completed this section, you should be able to:

1.Define and identify conservative and non-conservative forces. 2.Calculate the potential energy function U(x), given a conservative force F(x). 3.Given U(x), find the function F(x). 4.Calculate the potential energy, relative to an inertial reference frame of,

a. An object near the surface of the earth where gravity is a constant. b. A “linear”, well-behaved spring obeying Hooke’s Law.

5.Define total mechanical energy and recognize situations where it is conserved. 6.Apply the principle of conservation of total mechanical energy to relate the speed of

an object to its position in a gravitational field, or to its position when attached to a spring.

7.Apply the relation between the work done by a non-conservative force (friction) and the change in the total mechanical energy of a system.

8.Given the graph of the potential energy of a system as a function of position, a. Identify positions of stable and/or unstable equilibrium. b. Determine the vector force on the object at a specified position. c. Determine the kinetic energy of an object at a specified position given its

total mechanical energy.

Section Activities Lab #3: Conservation Laws: Applying Conservation Laws to Complex Systems using Force vs. Displacement/Time Graphs(150 min.)**

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Conservative and Non-Con. Forces 8.1-8.2 Q8,Q13, 10 Potential Energy of Systems 8.3-8.4 33,37,40,45 Conservation of Mechanical Energy Potential Energy, Force Functions: U(x), F(x) 8.5 48 Non-con. Forces: Where does Energy Go? 8.6-8.7 54-57,85,87 Super Quiz- Work and Energy (Text Chapters 7 & 8) OBJECTIVES: When you have completed this section, you should be able to:

1.Determine the linear momentum of an object or system of objects. 2.Given a graph of the force acting on an object versus time or the equation of the

force as a function of time, determine the impulse exerted on the object and its resulting change in linear momentum.

3.Identify situations in which linear momentum or a component of the linear momentum vector is conserved.

4.Apply the principle of conservation of linear momentum to analyze collisions of particles in one or two dimensions to determine unknown masses, velocities, and changes in kinetic energy.

5.Apply the conservation of linear momentum to analyze situations where two or more objects are pushed apart by physical processes (i.e., an explosion).

6.Explain the difference between completely elastic and completely inelastic collisions by relating what percentage of the energy is conserved.

7.Recognize key words in problems that identify the type of collision and solve such problems accordingly.

8.Determine the center of mass for simple point mass distributions. 9.Use the center of mass of a system to determine the system’s linear momentum.

Section Activities Center of Mass: Finding the C.M. of uniform density objects- 2 methods. (60min.)**

Momentum and Impulse: Forces cause p 9.4,10.1-10.2 Ch.10 Q1,Q7 7,10,14,26

Types of Collisions: Elastic and Inelastic 10.3-10.4 34,37,40,57 Two Dimensional Collisions 10.5 66,70

Center of Mass: Discrete Distributions 9.1-9.2 Q11,1,7,13 Newton’s Second Law: Systems of Particles 9.3 16,21 Super Quiz- Impulse, Momentum, and Collisions (Text Chapters 9 & 10) OBJECTIVES: When you have completed this section, you should be able to:

1.State and apply the relationships between the magnitudes of linear displacement and angular displacement, linear (tangential) velocity and angular velocity, linear or radial acceleration and angular acceleration for a rotating object.

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2.Use the right hand rule to determine the direction of the angular velocity (ω) and/or

the angular acceleration ( ) of an object rotating about a fixed axis. 3.For a rotating object, if given initial conditions and any one of the following: the

angular position as a function of time (t), its angular velocity as a function of

time (t), or its angular acceleration as a function of time, (t), derive expressions for the other two functions.

4.Apply the four rotational kinematics equations for constant acceleration to solve problems involving a rotating object.

5.Determine the magnitude and direction of the torque on a particle moving in a plane about an arbitrary axis under the influence of a given force.

6.Given a set of symmetrical objects of equal mass, determine qualitatively which ones would have the greatest moment of inertia.

7.Calculate the moment of inertia of: a. A collection of point masses lying in a plane, about a perpendicular axis. b. A thin rod of uniform density, about an axis perpendicular to the rod. c. A disk of uniform density, about an axis perp. to its face through its c.o.m. d. A thin cylindrical shell about an axis. e. A solid sphere of uniform density about an axis through its center.

8.State and apply the parallel-axis theorem to situations involving a rotational axis not passing through the center of mass of an object.

9.State Newton’s Second Law for rotation and apply it to a body rotating about a fixed axis under the influence of one or more torques.

Rotation About a Fixed Axis: 11.1-11.4 Q1-Q6 Linear and Angular Relations/ K.E. 11.5,11.6 25-33 odd Moment of Inertia 11.7 45-53 odd,52 Newton’s Second Law: Angular Form 11.8-11.9 63-73 odd Work and Energy: Rotational Equivalents 11.10 79,81,86,87 OBJECTIVES: When you have completed this section, you should be able to:

1.Define and determine the magnitude and direction of the angular momentum of a particle moving in a plane about an origin.

2.State the relationship between the net external torque acting on a rotating object and its angular momentum.

3.Identify situations in which the angular momentum of a system is conserved. 4.Analyze the total kinetic energy of a system undergoing both translational and

rotational motion. 5.Calculate the angular momentum of a rigid body rotating about a fixed axis. 6.Qualitatively analyze the motion of an object as its moment of inertia changes or

the net torque applied changes.

Section Activities Lab #4: Rotational Motion Inquiry- Exploring the link between rotational and translational concepts/equations. (120 min.)**

Rolling Motion: Translation and Rotation 12.1 Q1-Q7 Practice S.P.’s 12.1-12.4 1-11 odd

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Angular Momentum: Definition 12.3-12.4 23-31 odd Angular Form of Newton II 12.5 37-41 odd

Rigid Bodies: Angular Momentum 12.6,12.7 43,45 Conservation of Momentum: Systems 12.8 53-59 odd OBJECTIVES: When you have completed this section, you should be able to:

1.Analyze problems involving Newton’s Second Law and the conditions for Static Equilibrium.

Static Equilibrium: Two Conditions 13.1-13.2 Q1-Q4 Example Problems: Techniques 13.4 31-35 odd

Super Quiz - Rotation (Text Chapters 11,12, & 13) OBJECTIVES: When you have completed this section, you should be able to:

1.Use Kepler’s Three Laws of planetary motion to describe qualitatively the motion of one or more satellites around a massive body.

2.For one or more satellites orbiting a massive body, relate their orbital periods to their average distance(s) using Kepler’s Harmonic Law.

3.Apply Newton’s Law of Universal Gravitation to: a. Relate the gravitational force between two bodies to their mass and

separation. b. Determine the surface gravity, g, for a massive object. c. Determine the gravitational field near a spherically symmetric mass. d. Use the Shell Theorem to determine the gravitational field inside and

outside a spherical body. 4.For a body in a gravitational field,

a. Determine its potential energy at any given radial distance from a massive object.

b. Use energy conservation to relate changes in its gravitational potential energy to its kinetic energy.

c. Use conservation of angular momentum to determine its velocity and radial distances at different points along its path.

Section Activities Analyzing Satellite Motion (60 min.) (Flash Animations and Videos)**

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Newton’s Law of Universal Gravitation 14.1-14.3 2-8 Gravitation Fields and Potential Energy 14.4-14.6 10,12,14,23 Kepler’s Laws of Planetary Motion 14.7 54-57 odd,65 Satellite Orbits and Energy 14.8 78-83 OBJECTIVES: When you have completed this section, you should be able to:

1.State the general definition of simple harmonic motion, SHM.(i.e.- the restoring force is directly proportional to the displacement).

2.Observe the solution to the differential equation that describes simple harmonic oscillations of a mass.

3.Define the terms used to describe simple harmonic motion including: a. Restoring Force, F b. Spring Constant, k c. Amplitude, A d. Period, T e. Frequency, f

f. Angular Frequency,

g. Phase Shift, 4.For a spring-mass system, simple pendulum, compound pendulum, or buoy/bobber

undergoing SHM, write Newton’s Second Law (the equation of motion) for the system and:

a. The general solution of the resulting differential equation. b. The expression for the position of the system as a function of time, x(t). c. The expression for the velocity of the system as a function of time, v(t). d. The expression for the acceleration as a function of time, a(t). e. The expressions for the kinetic, potential, and total mechanical energy of

the system as functions of time. f. Sketch or identify a graph of the aforementioned values.

5.Given the necessary information about a system undergoing SHM, use the equations listed in #3 to determine any of the quantities in #2.

6.Identify the positions of a SHM system where it has its maximum and minimum values of velocity, acceleration, force, kinetic energy, or potential energy.

Section Activities Lab #5: Simple Harmonic Oscill.: Finding Eq. of Motion for SHM. (120 min.)**

Lecture: Differential Equations: Deriving from F=ma (120 min.)** SHM: Force & Displacement are Linearly Proportional. 16.1-16.3 Q1-Q6 Springs and Masses: Something Familiar Energy of SHM: Identifying Critical Points 16.4 42,46,47,51* Pendulums: A special case of SHM 16.6 60,62,67

Super Quiz - SHM (Textbook Chapters 14 & 16)

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First Semester Review-Packets 1, 2, 3

1.Selected Free Response Questions from 1980-2010, Released MC Tests MECHANICS FINAL EXAM (90 minutes/ Two class periods)

2.AP Physics C Mechanics Test- Multiple Choice and Free Response

AP Physics C: Electricity and Magnetism Syllabus

SUBJECT DAILY HOMEWORK Reading (chapt.-sect.) & Problems OBJECTIVES: When you have completed this section, you should be able to:

1.State Coulomb’s Law, its limitations, and define all terms. i. Given a collection of point charges, use Coulomb’s Law to determine

the net force on one of the charges due to the others. 2.Define the concept of Electric Field in terms of the force on a test charge.

i. State the units of the electric field. ii. Given a diagram on which an electric field is represented by electric field

lines, determine the direction of the field at a given point, identify locations where the field is strong and weak, and identify where positive or negative charges must be located to produce the given field pattern.

iii. Given two or more point charges, find the electric field at a given point in the vicinity of the charges.

3.Apply Coulomb’s Law and the concept of Electric Field to solve problems involving a charged particle in an electric field, where:

i. the particle is at rest under the influence of gravity, tension, etc. ii. the particle is in motion in an electric field. These problems will require

application of previously learned mechanics. 4.Calculate, by the integration of Coulomb’s Law and the principle of superposition,

the E-Field of symmetric charge distributions (rod, ring, disk). 5.Use the principle of superposition and symmetry to determine the electric fields of

parallel charged planes, coaxial cylinders, or concentric spheres. 6.Describe in a chart how the E-field varies with distance from an infinite conductor

or non-conductor in a, uniformly charged plane, a long uniformly charged wire or thin cylindrical shell, or a thin spherical shell.

Section Activities Static Charge and Induced Charge Demonstrations “Fun” with the “Shocker Ball”/Van de Graff Machine Beyond the Mechanical Universe Video: E-Fields, Potential, Capacitors Mapping Electric Field Lines: 3-D Gradient Field Modeling. (120 min.)**

Electric Fields Properties 22.1-22.3 2,5,6,7,8,9 Insul./Conductors 22.4-22.5 Coulomb’s Law

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Electric Fields 23.1-23.2 3,11,13-15,19 E-field Lines 23.3-23.4 Continuous Charge Dist. 23.5-23.7 28,32,38,47, Motion in E-field 23.8 49,53 OBJECTIVES: When you have completed this section, you should be able to:

1.State the general definition of the Flux of a vector quantity. 2.State Gauss’ Law and define all terms. 3.Apply Gauss’ Law to determine:

● the net charge inside a volume where the electric field is known everywhere on the surface of the volume.

● the electric field at a point due to the following charge distributions: i. a large uniformly charged sheet. ii. inside or outside a uniformly charged cylinder or cylindrical shell. iii. inside or outside a uniformly charged sphere or spherical shell.

Gauss’ Law Electric Flux 24.1-24.3 1,3,6,7,12,16 Gauss’ Law 24.4-24.5 Conductor in 24.6 18-21 Elec. Equilibrium.

Applying Gauss’ Law 24.7-24.9 23,26,35,43,50

Super Quiz: Electrostatics, E-Fields, and *Gauss’ Law (Chapters 22, 23, & 24*)

OBJECTIVES: When you have completed this section, you should be able to:

1.Define the concept of Electric Potential in terms of the energy of a charged particle in an electric field and state the units of the electric potential.

2.Given the electric potential in a region of space: ● Calculate the work done on a charged particle as it moves. ● Applying conservation of energy, calculate the kinetic and/or potential

energy of a charged particle as it moves from one point to another. 3.State the definition of the electron-volt (eV) in terms of the motion of an electron

through and electric potential difference and relate the eV to the joule. 4.Use the definition of electric potential and/or the superposition principle to find the

electric potential at a point caused by: ● one or more point charges. ● continuous charge distr. having planar, cylindrical, or spherical symmetry.

5.Given the electric potential as a function of distance, determine by differentiation the electric field as a function of distance.

6.Given a sketch of the equipotential lines about a simple charge configuration, describe semi-quantitatively the electric potential and the electric field.

Electric Potential Pot. Difference & Voltage 25.1-25.4 3,5,7,9,13,15

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Pot. Diff. In uniform Electric Field Electric Pot. & P.E. 25.5-25.7 17-21od,33,36 Due to Point Charges E from V 25.8-25.10 41-45 odd

V Due to Cont. Charge Dist. 25.11 46-50 even V Due to Charged Conductor Super Quiz: Electric Potential (Text Chapter 25) OBJECTIVES: When you have completed this section, you should be able to:

1.Define the terms CAPACITOR AND CAPACITANCE and use these definitions to relate the capacitance, voltage, and the charge of a capacitor.

2.Derive and apply the expressions for the capacitance of capacitors having planar, cylindrical, or spherical symmetry.

3.Determine the equivalent capacitance of a set of capacitors connected together, and determine the charge stored on each and the voltage across each capacitor.

4.Determine the energy stored in a capacitor or combination of capacitors. 5.Describe the effect on a capacitor’s capacitance, the charge stored, the voltage

across, the energy stored, as well as the E-field in the capacitor, if the space between its conductors contains a dielectric material.

Section Activities Lab #1: Electrical Equivalent of Heat (90 min.) Intro to Simple DC Circuits, DMMs, and Ohm’s Law (90 min.)** Lab #2: RC Circuit Graphs: Introduction to Differential Equations (120 min.)

Capacitors & Dielectrics Def. Of Capacitance 26.1-26.4 1,5,7,9,15,18 Calc. Of Capacitance Combos of Caps.

Energy in Capacitor 26.5-26.6 33,34,41-45 Cap. w/ Dielectrics OBJECTIVES: When you have completed this section, you should be able to:

1.Define electric current in terms of the motion of charges. 2.Apply the microscopic model for charge conduction in a metal to problems where

given are: drift speed, current, charge, charge density, or cross-sectional area. 3.Solve problems using the relationships among resistance, voltage, current, electric

field, resistivity, and the physical dimensions of a conductor. 4.Apply the relation for electric power to problems dealing with circuits obeying V=IR.

Current and Resistance Electric Current 27.1-27.6 2,4,5,19,23,39 Resistance & V=IR

Model of Elec. Conduc. Resistance and Temp. Energy and Power 27.7 43-48 all

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OBJECTIVES: When you have completed this section, you should be able to:

1.Determine the equivalent resistance of two or more resistors connected in series or parallel, or of a network of resistors which can be broken down into a series or parallel combination.

2.Apply Ohm’s Law and Kirchhoff’s rules to single or multiloop direct current circuits in order to determine the potential difference between two points, the current in a branch of a circuit, the power dissipated in the circuit elements, and the potential difference across the terminals of the energy source.

3.Discuss the charging & discharging of a capacitor through resistors and to: ● Calculate the time constant RC for a circuit. ● Sketch and identify graphs of stored charge or voltage for the capacitor,

or of current and voltage for a resistor, and indicate on the graph the significance of the RC time constant, and

● Write down expressions to describe the time dependence of the stored charge or voltage for the capacitor or resistor.

DC Circuits Electromotive Force 28.1-28.2 1,5,9,11,15,17 Parallel and Series Kirchhoff’s Rules 28.3-28.6 18- 22,27,33 RC Circuits 28.8 65,67,71,75 Super Quiz: Capacitance and DC Circuits (Text Chapters 26,27, & 28) OBJECTIVES: When you have completed this section, you should be able to:

1.State the conditions necessary for a particle to experience a magnetic force when it is in a magnetic field.

2.Describe qualitatively the motion of a charged particle moving through a magnetic field that is constant, is changing with time, or is changing with position.

3.Given any three of the following quantities: a particles charge, its velocity, the magnetic force it experiences, or the magnetic field through which it is moving, determine the magnitude and sign for direction of the fourth quantity.

4.State the conditions necessary for a charged particle to move with uniform circular motion in the presence of a magnetic field and, beginning with Newton’s Second Law derive the expression for the radius of its circular path.

5.Describe qualitatively and quantitatively the motion of a charged particle moving in a region containing both electric and magnetic fields.

6.Calculate the magnitude and direction of the force on a current-carrying wire in a uniform magnetic field.

7.Calculate the magnitude and direction of the torque on a rectangular loop of a wire carrying a current due to a uniform magnetic field

Section Activities Deflection of Electrons by B-Field: Crooke’s Tube Demo

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Finding the B-Field behavior of a Bar Magnet (60 min.)** Building a Quantifiable Motor: Torque on a Current Loop (120 min.)** Qualitative Analysis of Magnetic Flux through a Solenoid (60 min.)**

Lab #3: Determination of 0 Using a Solenoid (60 min.)

Magnetic Fields Def./Prop of Mag Field 29.2-29.5 Q16,2-12even Motion of charged pcle. Mag. Force on Current 29.7-29.8,45,47,49,53,55 Carrying Conductor

Torque on a Current Loop

OBJECTIVES: When you have completed this section, you should be able to: 1.Use the Bio-Savart law to:

● find the magnitude and direction of the contribution to the total magnetic field at a point due to a short segment of current-carrying wire.

● derive and apply the expressions for the magnetic field for a long, straight wire or for the magnetic field of a circular loop at any point along an axis through the center of the loop.

2.Apply the expression for the force between parallel current-carrying wires to determine the magnitude and direction of the force on either wire

● Use Ampere’s law to: ● derive an expression for the magnetic field inside or outside a solid or

hollow long cylinder carrying current of uniform destiny. ● derive an approximate expression for the magnetic field inside a very long

solenoid or inside a toroidal solenoid. 3.Apply the superposition principle to determine the magnetic field at a point

produced by combinations of the configurations listed above.

Sources of Mag. Fields Biot-Savart Law 30.1 2,3,5,9,13,15

Mag. Force Between 30.2-30.3 29,34,38-44 e Two Parallel Conductors

Ampere’s Law

Mag. Field of Solenoid 30.4 53,57,60

Magnetic Flux Gauss’ Law for B- Fields Super Quiz: Magnetic Forces and Fields (Text Chapters 29 & 30) OBJECTIVES: When you have completed this section, you should be able to:

1.Calculate the magnetic flux and/or the time rate of change of the magnetic flux for an area in a magnetic field.

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2.Use Faraday’s Law in integral form and Lenz’s Law to calculate the magnitude and direction of the induced voltage and current:

● in a loop of wire being moved in and out of a uniform magnetic field. ● In a loop of wire placed in a spatially uniform magnetic field whose

magnitude is given as a function of time. ● In a loop of wire rotating at a constant speed about an axis perpendicular

to a uniform magnetic field. 3.Analyze the forces that act on induced currents and solve simple problems

involving the mechanical consequences of electromagnetic induction. Section Activities Field Trip to College Physics Dep.: E&M Labs, Lecture on Maxwell’s Eq. (120 min.) Final Projects: Demonstrations and Extensions Faraday’s Law Law of Induction 31.1-31.3 Q2,4,5 2,5

Motion EMF 31.4 6,14,16,18 Lenz’s Law Induced EMF and Elec. 31.5-31.6 40,43,44 Fields OBJECTIVES: When you have completed this section, you should be able to:

1.Apply the definitions of inductance, Ampere’s Law and Faraday’s Law to toroids and long solenoids to:

● calculate the inductance ● relate the induced emf (voltage) to the time rate of change of the current

in the inductor or the time rate of change of the magnetic flux. 2.Write the differential equation for an RL circuit and state the solution. 3.Calculate the currents, potential differences, stored energies, and power

dissipation in simple RL circuits. Inductance Self Inductance 31.7-37.8 52-55,58,60,70 RL Circuits 31.9

Energy in a Mag. Field 31.10 76-80 Review Sessions- After school 3x per week 1 hour Project Presentations AP Physics C Exams- The Afternoon of the 2

nd Monday in May

Final Exam: Comprehensive 180 min./4 class periods. 1 week before AP Exam.

AP Physics C Mechanics- Enduring Understandings by Unit Unit 1: The Physical World is Measured According to Rules/Systems (SI system, Unit Conversions, Dimensional Analysis & Vectors)

Chapters 1 & 3 in Textbook

i, j, k notation, vector multiplication is also taught

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Error Analysis concepts including error propagation is also added in for lab work.

Unit 2: The slopes and areas of time-based graphs (displacement, velocity, and acceleration vs. time) describe all motion.

Chapters 2 & 4 in Textbook

Kinematic Equations of Motion are taught via calculus concepts.

Non-constant acceleration is now in play.

Graphical Analysis is emphasized Unit 3: Simple Physical Laws Predict Motion Changes in Systems (Newton’s Laws of Motion & Momentum)

Chapters 5 & 6, and 9 (excluding c.o.m. section)

Newton II Guided Inquiry Lab and Problem Solving Techniques is focus of unit since it is review.

The solution to differential equations will be saved for a later unit. Unit 4: Conservation Laws Describe How Systems Interact. (Conservation of E & p)

Chapters 7,8,9/10

Conservation laws are just a simpler way to do physics

Emphasis on Graphical Analysis, Area under curves, and Integrals

Center of Mass is taught using differentials.

Unit 5: Certain Objects Move in Predictable Patterns According to Physical Laws. (Projectiles, Simple Harmonic Motion & Gravitation.)

Projectiles are covered in Unit 2

Chapters 13 or 14 & 14 or 16 (SHM and Oscillations)

Without non-conservative forces, motion is constrained to ellipses for gravity and SHM for restoring forces.

The Fundamental Law of Gravity will be introduced as a parallel to Coulomb’s Law as a link to the next unit.

Gravitation will also serve to emphasize centripetal force concepts. Unit 6: Rotational Motion: The Frame of Reference changes, but the laws are invariant. (Rotational Kinematics & Dynamics)

This will be the last unit of the year (Q4) and serve as a mechanics review

Chapters 10,11,12

Emphasis will be on Inquiry Labs and relating angular and linear variables.

The differential equations are easier understood in Semester #2.

There are NO new physics concepts here.

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AP Physics C E&M- Enduring Understandings

Unit 1: Charges exert forces on each other (Charge, Coulomb Force, & E-

Fields)

●Chapters 22 & 23a

●This force varies by distance, not always time!!

●i,j,k notation, vectors reviewed

●Calculation of each force component is required-THEN vector math.

Unit 2: The dynamics of forces that depend on distance require

sophisticated maths/analytical skills. (E-Field Integrals, Gauss’ Law, partial

derivatives, and non-uniformly accelerated motion.)

●Chapters 23b, 24, & 25

●2D Calculus and non-constant acceleration is now in play.

●Some vector calculus ideas must be used (Gauss’ Law, trig

substitutions for multivariable problems, differential equations)

Unit 3: Electric current/voltage can be manipulated via simple DC circuits.

●Chapters 26, 27, & 28

●DC Circuits Lab is main focus, but understanding dynamics of RC

circuits is where calculus is needed.

●Only the basics of capacitors, resistors, and Kirchoff’s Rules is

needed.

Unit 4: Magnetic Fields exert forces on moving charges, and moving

charges create magnetic fields.

●Chapters 29 & 30

●The vector/cross-product is needed along with RHR taught earlier.

●This symmetry lead to Maxwell’s Electromagnetic Theory

●The Law of Biot-Savaart is the equivalent of E-Field Differentials and is

best seen through example problems.

Unit 5: Maxwell’s Equations unify all the E&M concepts and explain the

wave behavior of light.

●Chapter 31 & 32

●Changing magnetic flux creates E-Fields is the last new concept.

●The idea of flux is revisited along with a vector integral.

●A qualitative explanation of Maxwell’s Equations is lectured upon, after

the AP Exam.

Unit 6: Review Sessions and the “Canonical” Practice Problems.

After school and lunch Multiple Choice sessions with clickers

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Review packets with old F.R. problems are assigned and discussed

in class.

The “canonical” problems will be listed and example problems will

be given of each.