LEARNING OBJECTIVES Unit 1 – Kinematics At the end of this unit, students should be able to: Describe a frame of reference Compare and contrast Aristotle’s and Galileo’s views of motion Define and apply definitions of distance, displacement, average & instantaneous velocity and average acceleration Demonstrate proficiency in solving problems using kinematics equations, including problems involving free-fall. Analyze motion graphs qualitatively and quantitatively, including calculations of slope of a tangent of an x vs. t graph, the slope of a v vs. t graph and the areas under a v vs. t graph and an a vs. t graph. Distinguish between scalars and vectors Add and subtract vectors using graphical methods and the component method Utilize basic trigonometric functions and identities when resolving vectors Mathematically and graphically describe the motion of a projectile fired at an angle Solve problems involving the motion of a projectile fired at an angle Apply the concepts of vectors to solve problems involving relative velocity. Unit 2 – Newton’s Laws of Motion Distinguish between contact forces and field forces by identifying the agent of force Distinguish between mass and weight & calculate weight as a function of gravity Differentiate between static and kinetic friction State and apply Newton’s 1st Law for objects in static equilibrium Demonstrate proficiency in drawing and labeling free-body diagrams State and apply Newton’s 2nd Law: F=MA Demonstrate proficiency in solving problems involving objects in motion with constant acceleration by analyzing the resultant force on horizontal surfaces, inclined planes, and pulley systems. State and apply Newton’s 3rd Law of Motion Unit 3 – Work, Energy & Power At the end of this unit, students should be able to: At the end of this unit, students should be able to: Define and apply the concepts of work done by a constant force, potential energy, kinetic energy and power Calculate the work done from the area under a force vs. displacement graph Distinguish between conservative and non-conservative forces State and apply the principle of conservation of mechanical energy. Demonstrate proficiency in solving problems by applying the work-energy theorem to situations that involve conservative and non-conservative forces. Unit 4 – Systems of Particles-Linear Momentum Define and give examples of impulse and momentum Restate Newton’s 2nd Law in terms of Momentum Calculate the change in momentum from the area under an F vs. t graph By using Newton’s 3rd Law, derive a mathematical statement of conservation of momentum Define and recognize examples of elastic and inelastic collisions Explain which conservation laws apply to each type of collision Demonstrate proficiency in solving problems involving conservation of momentum in one and two dimensions Demonstrate proficiency in solving problems involving both conservation of momentum and conservation of energy laws. Unit 5 – Circular Motion & Rotation At the end of this unit, students should be able to: Define SHM and use the unit circle to describe displacement, velocity and acceleration Use Hooke’s Law and Newton’s 2nd Law to determine acceleration as a function of displacement Apply the principles of conservation of mechanical energy for an object moving in SHM Derive and apply the equations to obtain the periods of a mass-spring system & a pendulum Demonstrate proficiency in solving problems involving horizontal & vertical mass-springs Define resonant frequency and give examples of resonance State and apply Newton’s Law of Universal Gravitation Describe how the Cavendish experiment helped determine the universal gravitation constant Derive the acceleration due to gravity on the surface of several planets Distinguish between actual weight and apparent weight on a spinning Earth Explain and apply the relationship between the speed and orbital radius of a satellite State Kepler’s three laws of planetary motion Derive (using Newton’s Laws) and apply Kepler’s 3rd Law of planetary motion Unit 7 – Fluid Mechanics At the end of this unit, students should be able to: Explain the characteristics of uniform circular motion Derive the equation for centripetal acceleration of an object moving in a circle at constant speed Understand that centripetal force is not a “new” type of force Understand that centrifugal force does not exist, but is a result of inertia Demonstrate proficiency in solving problems involving banking angles, the conical pendulum, and motion in a vertical circle Define and calculate the torque of a given force about an axis of rotation State the 2 conditions of equilibrium (translational and rotational) and apply them to solve for unknown forces and/or distances in a variety of situations Unit 6 – Oscillations and Gravitation: At the end of this unit, students should be able to: At the end of this unit, students should be able to: Define atmospheric pressure, gauge pressure, absolute pressure & relationship between them Define and apply the concept of fluid pressure State and apply Pascal’s Principle in today’s world State, derive, and apply Archimedes’ Principle to calculate a buoyant force State the characteristics of an ideal fluid Apply the equation of continuity in solving problems Understand Bernoulli’s equation and that it is a statement of energy conservation Demonstrate proficiency in solving problems involving changes in depth, pressure and velocity Unit 8 – Temperature & Heat At the end of this unit, students should be able to: Understand and apply the mechanical equivalent of heat Define temperature and describe the condition for thermal equilibrium (dynamic) Explain the mechanisms of heat transfer, conduction, convection and radiation Demonstrate proficiency in solving problems involving thermal conductivity Unit 9 – Kinetic Theory & Thermodynamics At the end of this unit, students should be able to: State and apply the gas laws of Boyle, Charles, and Gay-Lussac Apply the Ideal Gas Law to solve problems involving pressure, volume and temperature Understand the Kinetic Theory and state its postulates Understand the average translational energy of gas molecules is proportional to temperature State and apply the 1st Law of Thermodynamics Define the 4 thermodynamic processes: isothermal, adiabatic, isovolumetric & isobaric Calculate work by graphical methods State & understand the implications of the 2nd Law of Thermodynamics State & understand the zeroeth Law of Thermodynamics Describe a typical heat engine and define efficiency in terms of absolute temperature Understand a Carnot engine and why it is impossible to attain practically Demonstrate proficiency in solving problems related to thermodynamics Unit 10 – Electrostatics At the end of this unit, students should be able to: Define electrostatics and the nature of electric charge State the laws of electrostatics and conservation of charge State and use Coulomb’s Law to calculate electrostatic forces on charges Define permittivity of free space Define an electric field and derive for a single point charge Define and diagram electric field lines as a depiction of the field Demonstrate proficiency in solving problems involving electric charges by using vectors Define and apply the concepts of electric potential energy, electric potential, and electric potential difference Describe and apply the relationship of the potential difference between 2points to the uniform electric field existing between the points. Understand that equipotential lines are perpendicular to electric field lines Demonstrate proficiency in solving problems involving the calculation of the total potential at any point in the vicinity of a number of known charges Demonstrate proficiency in solving problems involving the calculation of work required to move a known charge from one point to another. Apply a relationship between the electric field and the potential difference in a parallel plate configuration. Unit 11 – Conductors and Capacitors At the end of this unit, students should be able to: Explain the charging of an object by contact and by induction Distinguish between conductors and insulators Understand the distribution of charge in a conductor Define capacitance and apply the equation to calculate total charge Understand and apply the fact that capacitance depends on the geometry of the capacitor and area and separation between the plates Calculate the equivalent capacitance of capacitors connected in series and parallel Determine the energy stored in a parallel plate capacitor Unit 12 – Electric Circuits Define current as the rate of flow of charge Explain emf and name a source of it Define resistance and factors affecting resistance of conductors State Ohm’s Law and use the equation to solve problems involving it Understand that power is the rate of energy transfer in the form of heat, and solve all appropriate problems involving these variables Draw schematic diagrams of circuits including ammeters and voltmeters Analyze series and parallel circuits and demonstrate proficiency in calculations of equivalent resistance, current and voltage drop. Calculate terminal voltage State and apply Kirchoff’s Laws to solve network problems Analyze steady state circuits and demonstrate proficiency in calculations of equivalent resistance, current and voltage drop. Unit 13 – Magnetic Fields At the end of this unit, students should be able to: At the end of this unit, students should be able to: Describe magnetism and the magnetic fields created by magnets Calculate the magnetic force on a moving charge and determine the direction of the magnetic field, the velocity of the charge, and the magnetic force using the fight-hand-rule. Calculate the magnetic force on loop wire or current carrying wire and determine the direction of the magnetic field, the current, and the magnetic force as stated above Calculate the magnetic force on a long, straight wire and determine the direction of the magnetic field, the current and magnetic force as stated above Determine the magnitude and direction of the magnetic force between two parallel wires. Unit 14 – Electromagnetism At the end of this unit, students should be able to: Describe Faraday’s experiments that show that a changing magnetic field induces an emf State and describe Faraday’s Law and Lenz’s Law Demonstrate proficiency in solving problems involving an induced emf in cases where the magnetic flux density changes and in cases where the area of a loop of wire changes Apply Lenz’s Law to determine the direction of the induced current in cases of motional emf Unit 15 – Wave Motion and Sound At the end of this unit, students should be able to: Define, describe, and give examples of transverse, longitudinal and surface waves State and use the equation for mechanical wave velocity in terms of frequency and wavelength Describe the relationship between wave energy and amplitude Describe wave behavior under different boundary conditions Demonstrate proficiency in solving problems involving transverse waves on a string Describe and distinguish between constructive and destructive interference State and apply the principle of superposition Describe and analyze standing waves and their properties Describe sound in audible and non-audible frequency ranges Calculate the speed of sound in air at different temperatures Use boundary behavior characteristics to derive and apply relationships for calculating characteristic frequencies for open and closed pipes. Describe and calculate interference phenomena (beats) Apply the Doppler Effect to predict changes in sound frequency for moving objects. Unit 16 – Physical Optics Explain how electromagnetic waves are produced Describe the electromagnetic spectrum and relationship between wavelength, frequency and speed of the electromagnetic waves Describe Roemer and Michaelson’s experiment to determine the speed of light “c”. Discuss visible light segment of the spectrum and light dispersion State conditions for constructive and destructive interference Describe Young’s double-slit experiment and apply results to bright & dark fringe locations Describe the pattern observed by the use of diffraction grating Demonstrate proficiency in solving problems involving the use of a single-slit, double-slit and a diffraction grating Explain and apply the characteristics of thin-film interference using boundary behavior concepts Calculate the thickness of a film Unit 17 – Geometric Optics At the end of this unit, students should be able to: At the end of this unit, students should be able to: Discuss evidence supporting the ray model of light State, apply and solve problems involving the law of reflection Define principal axis, focal point and focal length in terms of spherical mirrors Demonstrate proficiency in using ray diagrams to find the image using con- and divergent mirror Define real and virtual images and how mirrors and lenses form them Use the mirror equation and use to find focal length, image distance & height and magnification Define spherical aberration Define index of refraction and use Snell’s Law to find all variables Explain and calculate critical angle, total internal reflection & how these apply to fiber optics Use the lens equation to find focal length, image distance, image height and magnification. Unit 18 – Atomic Physics and Quantum Effects At the end of this unit, students should be able to: Describe Thomson’s & Millikan’s experiments related to the electron Discuss the basics of Planck’s hypothesis Define photon and relate its energy to its frequency and/or wavelength Convert joules to electron-volts and vice-versa Demonstrate proficiency in solving problems involving photon energy and Conservation of momentum in photon interactions Explain the photoelectric effect and define in terms of work function and threshold frequency Given a graph of energy vs. frequency, describe x- & y-intercepts and the meaning of slope Proficiently calculate the maximum kinetic energy of photoelectrons Understand the nature and production of X-rays Describe the Compton Effect and Davisson-Germer experiment and the results of both Understand wave-particle duality & apply deBroglie’s equation to calculate the wavelength of a particle. How atomic spectra are produced Demonstrate proficiency in drawing and interpreting energy-level diagrams Calculate the energy absorbed or emitted by an atom when it changes energy levels Unit 19 – Nuclear Physics At the end of this unit, students should be able to: Describe the structure and properties of the atomic nucleus Apply Einstein’s equation of mass-energy equivalence Calculate the mass defect and the total binding energy of the nucleus Understand the origins of the strong & weak nuclear forces Describe radioactivity and the types of radiation emitted alpha-decay, beta & gamma radiation Understand how nuclear reactions are produced. Define: threshold energy, chain reactions, and critical mass Explain the differences between fission and fusion Explain the basic process of a nuclear reactor Discuss the pluses and minuses of using nuclear energy in our society