• AP PHYSICS 2

TOPICS AND LEARNING OBJECTIVES

#### Fluid Statics and Dynamics  (4 weeks)

8/15/19 – 9/13/19

Density

Static Fluids

Fluids in Motion; Flow Rate, Continuity and Bernoulli's Principle

OpenStax Chapters  11, 12

Schaum’s Outline Rev 11 - Chapters 12, 13, 14G IDEA 1: Objects and systems have properties such as mass and charge. Systems may have internal structure.

1.E.1.1: The student is able to predict the densities, differences in densities, or changes in densities under different conditions for natural phenomena and design an investigation to verify the prediction. [SP 4.2, 6.4]

1.E.1.2: The student is able to select from experimental data the information necessary to determine the density of an object and/or compare densities of several objects. [SP 4.1, 6.4]

IG IDEA 3: The interactions of an object with other objects can be described by forces.

3.C.4.1: The student is able to make claims about various contact forces between objects based on the microscopic cause of those forces.[SP 6.1]

3.C.4.2: The student is able to explain contact forces (tension, friction, normal, buoyant, spring) as arising from interatomic electric forces and that they therefore have certain directions. [SP 6.2]

BIG IDEA 5: Changes that occur as a result of interactions are constrained by conservation laws.

5.B.10.1: The student is able to use Bernoulli’s equation to make calculations related to a moving fluid. [SP 2.2]

5.B.10.2: The student is able to use Bernoulli’s equation and/or the relationship between force and pressure to make calculations related to a moving fluid. [SP 2.2]

5.B.10.3: The student is able to use Bernoulli’s equation and the continuity equation to make calculations related to a moving fluid. [SP 2.2]

5.B.10.4: The student is able to construct an explanation of Bernoulli’s equation in terms of the conservation of energy. [SP 6.2]

5.F.1.1: The student is able to make calculations of quantities related to flow of a fluid, using mass conservation principles (the continuity equation). [SP 2.1, 2.2, 7.2]

#### Thermodynamics  (4 weeks)

9/16/19 – 10/11/19

Thermal Equilibrium and the Zeroth Law of Thermodynamics

The Gas Laws and Absolute Temperature

The Ideal Gas Law

Energy Transfer: Conduction, Convection and Radiation

The First Law of Thermodynamics

Thermodynamic Processes and PV Diagrams

The Second Law of Thermodynamics (qualitative)

Entropy (qualitative)

 OpenStax Chapters  13, 14, 15 Schaum’s Outline Rev 11 - Chapters 8, 16, 18, 19, 20, 21 1: Objects and systems have properties such as mass and charge. Systems may have internal structure. 1.E.3.1: The student is able to design an experiment and analyze data from it to examine thermal conductivity. [SP 4.1, 4.2, 5.1] can result in changes in those systems. 4.C.3.1: The student is able to make predictions about the direction of energy transfer due to temperature differences based on interactions at the microscopic level. [SP 6.4] a result of interactions are constrained by conservation laws. 5.A.2.1: The student is able to define open and closed systems for everyday situations and apply conservation concepts for energy, charge, and linear momentum to those situations. [SP 6.4, 7.2] 5.B.4.1: The student is able to describe and make predictions about the internal energy of systems. [SP 6.4, 7.2] 5.B.4.2: The student is able to calculate changes in kinetic energy and potential energy of a system, using information from representations of that system. [SP 1.4, 2.1, 2.2] 5.B.5.4: The student is able to make claims about the interaction between a system and its environment in which the environment exerts a force on the system, thus doing work on the system and changing the energy of the system (kinetic energy plus potential energy). [SP 6.4, 7.2] 5.B.5.5: The student is able to predict and calculate the energy transfer to (i.e., the work done on) an object or system from information about a force exerted on the object or system through a distance. [SP 2.2, 6.4] 5.B.5.6: The student is able to design an experiment and analyze graphical data in which interpretations of the area under a pressure-volume curve are needed to determine the work done on or by the object or system. [SP 4.2, 5.1] 5.B.6.1: The student is able to describe the models that represent processes by which energy can be transferred between a system and its environment because of differences in temperature: conduction, convection, and radiation. [SP 1.2] 5.B.7.1: The student is able to predict qualitative changes in the internal energy of a thermodynamic system involving transfer of energy due to heat or work done and justify those predictions in terms of conservation of energy principles. [SP 6.4, 7.2] 5.B.7.2: The student is able to create a plot of pressure versus volume for a thermodynamic process from given data. [SP 1.1] 5.B.7.3: The student is able to use a plot of pressure versus volume for a thermodynamic process to make calculations of internal energy changes, heat, or work, based upon conservation of energy principles (i.e., the first law of thermodynamics). [SP 1.1, 1.4, 2.2] G IDEA 7: The mathematics of probability can be used to describe the behavior of complex systems and to interpret the behavior of quantum mechanical systems. 7.A.1.1: The student is able to make claims about how the pressure of an ideal gas is connected to the force exerted by molecules on the walls of the container, and how changes in pressure affect the thermal equilibrium of the system. [SP 6.4, 7.2] 7.A.1.2: Treating a gas molecule as an object (i.e., ignoring its internal structure), the student is able to analyze qualitatively the collisions with a container wall and determine the cause of pressure, and at thermal equilibrium, to quantitatively calculate the pressure, force, or area for a thermodynamic problem given two of the variables. [SP 1.4, 2.2] 7.A.2.1: The student is able to qualitatively connect the average of all kinetic energies of molecules in a system to the temperature of the system. [SP 7.1] 7.A.2.2: The student is able to connect the statistical distribution of microscopic kinetic energies of molecules to the macroscopic temperature of the system and to relate this to thermodynamic processes. [SP 7.1] 7.A.3.1: The student is able to extrapolate from pressure and temperature or volume and temperature data to make the prediction that there is a temperature at which the pressure or volume extrapolates to zero. [SP 6.4, 7.2] 7.A.3.2: The student is able to design a plan for collecting data to determine the relationships between pressure, volume, and temperature, and amount of an ideal gas, and to refine a scientific question concerning a proposed incorrect relationship between the variables. [SP 3.2, 4.2] 7.A.3.3: The student is able to analyze graphical representations of macroscopic variables for an ideal gas to determine the relationships between these variables and to ultimately determine the ideal gas law PV = nRT. [SP 5.1] 7.B.1.1: The student is able to extrapolate from pressure and temperature or volume and temperature data to make the prediction that there is a temperature at which the pressure or volume extrapolates to zero. [SP 6.4, 7.2] 7.B.2.1: The student is able to connect qualitatively the second law of thermodynamics in terms of the state function called entropy and how it (entropy) behaves in reversible and irreversible processes. [SP 7.1]

#### Electric Forces, Fields and Potential  (5 weeks)

10/14/19 – 11/15/19

Static Electricity; Electric Charge and its Conservation

Insulators and Conductors

Charging Processes: Friction, Conduction and Induction

Coulomb’s Law

Electric Field

Electric Potential and Potential Difference

Relation Between Electric Potential and Electric Field

Equipotential Lines

Electric Potential due to Point Charges

 OpenStax Chapters  18, 19 Schaum’s Outline Rev 11 – Chapters  24, 25 IG IDEA 1: Objects and systems have properties such as mass and charge. Systems may have internal structure. 1.B.1.1: The student is able to make claims about natural phenomena based on conservation of electric charge. [SP 6.4] 1.B.1.2: The student is able to make predictions, using the conservation of electric charge, about the sign and relative quantity of net charge of objects or systems after various charging processes, including conservation of charge in simple circuits. [SP 6.4, 7.2] 1.B.2.2: The student is able to make a qualitative prediction about the distribution of positive and negative electric charges within neutral systems as they undergo various processes. [SP 6.4, 7.2] 1.B.2.3: The student is able to challenge claims that polarization of electric charge or separation of charge must result in a net charge on the object. [SP6.1] 1.B.3.1: The student is able to challenge the claim that an electric charge smaller than the elementary charge has been isolated. [SP 1.5, 6.1, 7.2] Fields existing in space can be used to explain interactions. 2.C.1.1: The student is able to predict the direction and the magnitude of the force exerted on an object with an electric charge q placed in an electric field E using the mathematical model of the relation between an electric force and an electric field: F= qE; a vector relation.[SP 6.4, 7.2] 2.C.1.2: The student is able to calculate any one of the variables — electric force, electric charge, and electric field — at a point given the values and sign or direction of the other two quantities.[SP 2.2] 2.C.2.1: The student is able to qualitatively and semi-quantitatively apply the vector relationship between the electric field and the net electric charge creating that field. [SP 2.2, 6.4] 2.C.3.1: The student is able to explain the inverse square dependence of the electric field surrounding a spherically symmetric electrically charged object. [SP 6.2] 2.C.4.1: The student is able to distinguish the characteristics that differ between monopole fields (gravitational field of spherical mass and electrical field due to single point charge) and dipole fields (electric dipole field and magnetic field) and make claims about the spatial behavior of the fields using qualitative or semiquantitative arguments based on vector addition of fields due to each point source, including identifying the locations and signs of sources from a vector diagram of the field. [SP 2.2, 6.4, 7.2] 2.C.4.2: The student is able to apply mathematical routines to determine the magnitude and direction of the electric field at specified points in the vicinity of a small set (2–4) of point charges, and express the results in terms of magnitude and direction of the field in a visual representation by drawing field vectors of appropriate length and direction at the specified points. [SP 1.4, 2.2] 2.C.5.1: The student is able to create representations of the magnitude and direction of the electric field at various distances (small compared to plate size) from two electrically charged plates of equal magnitude and opposite signs, and is able to recognize that the assumption of uniform field is not appropriate near edges of plates. [SP 1.1, 2.2] 2.C.5.2: The student is able to calculate the magnitude and determine the direction of the electric field between two electrically charged parallel plates, given the charge of each plate, or the electric potential difference and plate separation. [SP 2.2] 2.C.5.3: The student is able to represent the motion of an electrically charged particle in the uniform field between two oppositely charged plates and express the connection of this motion to projectile motion of an object with mass in the Earth’s gravitational field. [SP 1.1, 2.2, 7.1] 2.E.1.1: The student is able to construct or interpret visual representations of the isolines of equal gravitational potential energy per unit mass and refer to each line as a gravitational equipotential. [SP 1.4, 6.4, 7.2] 2.E.2.1: The student is able to determine the structure of isolines of electric potential by constructing them in a given electric field. [SP 6.4, 7.2] 2.E.2.2: The student is able to predict the structure of isolines of electric potential by constructing them in a given electric field and make connections between these isolines and those found in a gravitational field. [SP 6.4, 7.2] 2.E.2.3: The student is able to qualitatively use the concept of isolines to construct isolines of electric potential in an electric field and determine the effect of that field on electrically charged objects. [SP 1.4] 2.E.3.1: The student is able to apply mathematical routines to calculate the average value of the magnitude of the electric field in a region from a description of the electric potential in that region using the displacement along the line on which the difference in potential is evaluated. [SP 2.2] 2.E.3.2: The student is able to apply the concept of the isoline representation of electric potential for a given electric charge distribution to predict the average value of the electric field in the region. [SP 1.4, 6.4] IG IDEA 3: The interactions of an object with other objects can be described by forces. 3.A.2.1: The student is able to represent forces in diagrams or mathematically using appropriately labeled vectors with magnitude, direction, and units during the analysis of a situation. [SP 1.1] 3.A.3.2: The student is able to challenge a claim that an object can exert a force on itself. [SP 6.1] 3.A.3.3: The student is able to describe a force as an interaction between two objects and identify both objects for any force. [SP 1.4] 3.A.3.4: The student is able to make claims about the force on an object due to the presence of other objects with the same property: mass, electric charge. [SP6.1, 6.4] 3.A.4.1: The student is able to construct explanations of physical situations involving the interaction of bodies using Newton’s third law and the representation of action-reaction pairs of forces. [SP1.4, 6.2] 3.A.4.2: The student is able to use Newton’s third law to make claims and predictions about the action-reaction pairs of forces when two objects interact. [SP6.4, 7.2] 3.A.4.3: The student is able to analyze situations involving interactions among several objects by using free-body diagrams that include the application of Newton’s third law to identify forces. [SP1.4] 3.B.1.3: The student is able to reexpress a free-body diagram representation into a mathematical representation and solve the mathematical representation for the acceleration of the object. [SP1.5, 2.2] 3.B.1.4: The student is able to predict the motion of an object subject to forces exerted by several objects using an application of Newton’s second law in a variety of physical situations. [SP6.4, 7.2] 3.B.2.1: The student is able to create and use free-body diagrams to analyze physical situations to solve problems with motion qualitatively and quantitatively. [SP1.1, 1.4, 2.2] LO 3.C.2.1: The student is able to use Coulomb’s law qualitatively and quantitatively to make predictions about the interaction between two electric point charges. [SP 2.2, 6.4] 3.C.2.2: The student is able to connect the concepts of gravitational force and electric force to compare similarities and differences between the forces. [SP7.2] 3.C.2.3: The student is able to use mathematics to describe the electric force that results from the interaction of several separated point charges (generally 2 to 4 point charges, though more are permitted in situations of high symmetry). [SP 2.2] 3.G.1.2: The student is able to connect the strength of the gravitational force between two objects to the spatial scale of the situation and the masses of the objects involved and compare that strength to other types of forces. [SP7.1] LO 3.G.2.1: The student is able to connect the strength of electromagnetic forces with the spatial scale of the situation, the magnitude of the electric charges, and the motion of the electrically charged objects involved. [SP 7.1] IG IDEA 4: Interactions between systems can result in changes in those systems. 4.E.3.1: The student is able to make predictions about the redistribution of charge during charging by friction, conduction, and induction. [SP6.4] 4.E.3.2: The student is able to make predictions about the redistribution of charge caused by the electric field due to other systems, resulting in charged or polarized objects. [SP6.4, 7.2] 4.E.3.3: The student is able to construct a representation of the distribution of fixed and mobile charge in insulators and conductors. [SP1.1, 1.4, 6.4] 4.E.3.4: The student is able to construct a representation of the distribution of fixed and mobile charge in insulators and conductors that predicts charge distribution in processes involving induction or conduction. [SP1.1, 1.4, 6.4] 4.E.3.5: The student is able to plan and/or analyze the results of experiments in which electric charge rearrangement occurs by electrostatic induction, or is able to refine a scientific question relating to such an experiment by identifying anomalies in a data set or procedure. [SP3.2, 4.1, 4.2, 5.1, 5.3] G IDEA 5: Changes that occur as a result of interactions are constrained by conservation laws. 5.A.2.1: The student is able to define open and closed systems for everyday situations and apply conservation concepts for energy, charge, and linear momentum to those situations. [SP 6.4, 7.2] 5.B.2.1: The student is able to calculate the expected behavior of a system using the object model (i.e., by ignoring changes in internal structure) to analyze a situation. Then, when the model fails, the student can justify the use of conservation of energy principles to calculate the change in internal energy due to changes in internal structure because the object is actually a system. [SP 1.4, 2.1] 5.C.2.1: The student is able to predict electric charges on objects within a system by application of the principle of charge conservation within a system. [SP6.4] 5.C.2.2: The student is able to design a plan to collect data on the electrical charging of objects and electric charge induction on neutral objects and qualitatively analyze that data. [SP4.2, 5.1] 5.C.2.3: The student is able to justify the selection of data relevant to an investigation of the electrical charging of objects and electric charge induction on neutral objects. [SP 4.1]

#### Electric Circuits  (4 weeks)

11/18/19 – 12/20/19

Electric Current

Ohm’s Law: Resistance and Resistors

Resistivity

Capacitance

Storage of Electric Energy

Electric Power

Resistors in Series and Parallel

Kirchhoff’s Rules

 OpenStax Chapters  20, 21 Schaum’s Outline Rev 11 – Chapters   26, 27, 28, 29  IDEA 1: Objects and systems have properties such as mass and charge. Systems may have internal structure. 1.E.2.1: The student is able to choose and justify the selection of data needed to determine resistivity for a given material. [SP 4.1] IG IDEA 4: Interactions between systems can result in changes in those systems. 4.E.4.1: The student is able to make predictions about the properties of resistors and/or capacitors when placed in a simple circuit, based on the geometry of the circuit element and supported by scientific theories and mathematical relationships. [SP2.2, 6.4] 4.E.4.2: The student is able to design a plan for the collection of data to determine the effect of changing the geometry and/or materials on the resistance or capacitance of a circuit element and relate results to the basic properties of resistors and capacitors. [SP4.1, 4.2] 4.E.4.3: The student is able to analyze data to determine the effect of changing the geometry and/or materials on the resistance or capacitance of a circuit element and relate results to the basic properties of resistors and capacitors. [SP5.1] 4.E.5.1: The student is able to make and justify a quantitative prediction of the effect of a change in values or arrangements of one or two circuit elements on the currents and potential differences in a circuit containing a small number of sources of emf, resistors, capacitors, and switches in series and/or parallel. [SP2.2, 6.4] 4.E.5.2: The student is able to make and justify a qualitative prediction of the effect of a change in values or arrangements of one or two circuit elements on currents and potential differences in a circuit containing a small number of sources of emf, resistors, capacitors, and switches in series and/or parallel. [SP6.1, 6.4] 4.E.5.3: The student is able to plan data collection strategies and perform data analysis to examine the values of currents and potential differences in an electric circuit that is modified by changing or rearranging circuit elements, including sources of emf, resistors, and capacitors. [SP 2.2, 4.2, 5.1] IG IDEA 5: Changes that occur as a result of interactions are constrained by conservation laws. 5.B.9.4: The student is able to analyze experimental data including an analysis of experimental uncertainty that will demonstrate the validity of Kirchhoff’s loop rule.[SP5.1] 5.B.9.5: The student is able to use conservation of energy principles (Kirchhoff’s loop rule) to describe and make predictions regarding electrical potential difference, charge, and current in steady-state circuits composed of various combinations of resistors and capacitors. [SP6.4] 5.B.9.6: The student is able to mathematically express the changes in electric potential energy of a loop in a multiloop electrical circuit and justify this expression using the principle of the conservation of energy. [SP2.1, 2.2] 5.B.9.7: The student is able to refine and analyze a scientific question for an experiment using Kirchhoff’s Loop rule for circuits that includes determination of internal resistance of the battery and analysis of a non-ohmic resistor. [SP4.1, 4.2, 5.1, 5.3] 5.B.9.8: The student is able to translate between graphical and symbolic representations of experimental data describing relationships among power, current, and potential difference across a resistor. [SP1.5] 5.C.3.4: The student is able to predict or explain current values in series and parallel arrangements of resistors and other branching circuits using Kirchhoff’s junction rule and relate the rule to the law of charge conservation. [SP6.4, 7.2] 5.C.3.5: The student is able to determine missing values and direction of electric current in branches of a circuit with resistors and NO capacitors from values and directions of current in other branches of the circuit through appropriate selection of nodes and application of the junction rule. [SP1.4, 2.2] 5.C.3.6: The student is able to determine missing values and direction of electric current in branches of a circuit with both resistors and capacitors from values and directions of current in other branches of the circuit through appropriate selection of nodes and application of the junction rule. [SP1.4, 2.2] 5.C.3.7: The student is able to determine missing values, direction of electric current, charge of capacitors at steady state, and potential differences within a circuit with resistors and capacitors from values and directions of current in other branches of the circuit. [SP 1.4, 2.2]

#### Magnetism, Induction and Lenz’s Law  (5 Weeks)

1/6/20 – 2/7/20

Magnets and Magnetic Fields

Force on an Electric Current in a Magnetic Field

Force on an Electric Charge Moving in a Magnetic Field

Induced EMF

Faraday’s Law of Induction; Lenz’s Law

EMF Induced in a Moving Conductor

 OpenStax Chapters  22, 23 Schaum’s Outline Rev 11 – Chapters  30, 31, 32, 33 BIG IDEA 2: Fields existing in space can be used to explain interactions. 2.C.4.1: The student is able to distinguish the characteristics that differ between monopole fields (gravitational field of spherical mass and electrical field due to single point charge) and dipole fields (electric dipole field and magnetic field) and make claims about the spatial behavior of the fields using qualitative or semi-quantitative arguments based on vector addition of fields due to each point source, including identifying the locations and signs of sources from a vector diagram of the field. [SP 2.2, 6.4, 7.2] 2.D.1.1: The student is able to apply mathematical routines to express the force exerted on a moving charged object by a magnetic field. [SP 2.2] 2.D.2.1: The student is able to create a verbal or visual representation of a magnetic field around a long straight wire or a pair of parallel wires. [SP 1.1] 2.D.3.1: The student is able to describe the orientation of a magnetic dipole placed in a magnetic field in general and the particular cases of a compass in the magnetic field of the Earth and iron filings surrounding a bar magnet. [SP 1.2] 2.D.4.1: The student is able to use the representation of magnetic domains to qualitatively analyze the magnetic behavior of a bar magnet composed of ferromagnetic material. [SP 1.4] G IDEA 3: The interactions of an object with other objects can be described by forces. 3.A.2.1: The student is able to represent forces in diagrams or mathematically using appropriately labeled vectors with magnitude, direction, and units during the analysis of a situation. [SP 1.1] 3.A.3.2: The student is able to challenge a claim that an object can exert a force on itself. [SP 6.1] 3.A.3.3: The student is able to describe a force as an interaction between two objects and identify both objects for any force. [SP1.4] 3.A.4.1: The student is able to construct explanations of physical situations involving the interaction of bodies using Newton’s third law and the representation of action-reaction pairs of forces. [SP1.4, 6.2] 3.A.4.2: The student is able to use Newton’s third law to make claims and predictions about the action-reaction pairs of forces when two objects interact. [SP6.4, 7.2] 3.A.4.3: The student is able to analyze situations involving interactions among several objects by using free-body diagrams that include the application of Newton’s third law to identify forces. [SP1.4] 3.C.3.1: The student is able to use right-hand rules to analyze a situation involving a current-carrying conductor and a moving electrically charged object to determine the direction of the magnetic force exerted on the charged object due to the magnetic field created by the current-carrying conductor. [SP1.4] 3.C.3.2: The student is able to plan a data collection strategy appropriate to an investigation of the direction of the force on a moving electrically charged object caused by a current in a wire in the context of a specific set of equipment and instruments and analyze the resulting data to arrive at a conclusion. [SP4.2, 5.1] IG IDEA 4: Interactions between systems can result in changes in those systems. 4.E.1.1: The student is able to use representations and models to qualitatively describe the magnetic properties of some materials that can be affected by magnetic properties of other objects in the system. [SP 1.1, 1.4, 2.2] 4.E.2.1: The student is able to construct an explanation of the function of a simple electromagnetic device in which an induced emf is produced by a changing magnetic flux through an area defined by a current loop (i.e., a simple microphone or generator) or of the effect on behavior of a device in which an induced emf is produced by a constant magnetic field through a changing area. [SP 6.4]

#### Geometric and Physical Optics  (5 weeks)

2/10/20 – 3/13/20

Electromagnetic Waves

Polarization, Reflection and Refraction

Formation of Images by Spherical Mirrors

Formation of Images by Thin Lenses

Interference - Young’s Double Slit Experiment

Diffraction

Interference by Thin Films

#### Quantum, Atomic and Nuclear Physics  (4 weeks)

3/16/20 – 4/17/20

Reasons that Classical Mechanics must be replaced by Special Relativity (see 1.3.D.1)

Planck’s Quantum Hypothesis

Photon Theory of Light and the Photoelectric Effect

Wave Nature of Matter

Atomic Energy Levels: Emission and Absorption Spectra

Nuclear Reactions and Decays: fission, fusion, alpha decay, beta decay, or gamma decay.

Conservation Laws: Charge, Nucleon and Mass-Energy