Unit 1: An Introduction to Physics and Motion PI 1 Apply mathematics to solve elementary physics problems 1.1 Identify the seven fundamental SI units and use dimensional analysis to convert units. 1.2 Use orders of magnitude to estimate very large or very small quantities. 1.3 Use trigonometry to solve right triangle problems. PI 2.1 Use graphs to describe the motion of objects 2.1 Differentiate among displacement, distance, velocity, speed, average velocity, average speed, and average acceleration. 2.2 Determine the displacement, average velocity, instantaneous velocity, average acceleration, and instantaneous acceleration from a graph. PI 2.2 Use kinematics to predict the motion of objects 2.3 Use the three basic kinematic equations to describe motion in a straight line under constant acceleration. 2.4 Define free fall and apply the kinematic equations to describe the motion of objects in free fall. Unit 2: Dynamics PI 3.1 Define a vector and resolve a vector into its x and y components 3.1 Define a vector and resolve a vector into its x and y components. 3.2 Apply the mathematical processes of addition, subtraction, and scalar multiplication on vectors. PI 3.2 Use vectors to solve 2D kinematic problems 3.3 Differentiate among the three types of projectile problems. 3.4 Use the kinematic equations to describe the motion of type I projectiles. 3.5 Use the kinematic equations to describe the motion of type II projectiles. 3.6 Use the kinematic equations to describe the motion of type III projectiles. 3.7 Use the kinematic equations to describe the motion of all types of projectiles. 3.8 Define frame of reference and use it to solve relative velocity problems. PI 4.1 Use Newton's Laws of Motion to qualitatively describe the forces acting on an object 4.1 Differentiate among Newton's Three Laws of Motion and apply the concept of a force. 4.2 Draw a free body diagram to represent all forces acting on an object. PI 4.2 Use Newton's Laws of Motion to quantitatively describe the forces acting on an object 4.3 Use Newton's Second Law of Motion to describe the motion of an object being acted upon by a force. 4.4 Use Newton's Third Law of Motion to describe the motion of a two-object system in contact with each other when acted upon by a force. 4.5 Use vectors and free body diagrams to describe the forces involved in equilibrium/statics situations. 4.6 Use Newton's Second Law of Motion and free body diagrams to describe the motion of two bodies within a system in a frictionless environment. PI 4.3 Use dynamics to describe the motion of an object 4.7 Define the frictional force and differentiate between static and kinetic friction. 4.8 Use Newton's Second Law of Motion and free body diagrams to describe the motion of two bodies within a simple system in a friction environment. 4.9 Use Newton's Second Law of Motion and free body diagrams to describe the motion of two bodies within a complex system in a friction environment. Unit 3: Mechanical Energy PI 5.1 Relate energy to work through the Work - Kinetic Energy Theorem 5.1 Define energy, the types of energy, and relate energy to work. 5.2 Calculate the work done to move an object. 5.3 Calculate the mechanical energy (both kinetic and potential) associated with an object. PI 5.2 Use conservation of energy to describe the motion of objects 5.4 Use the conservation of mechanical energy to describe the motion of an object. 5.5 Use Hooke's Law to describe the motion of an object connected to a spring. 5.6 Calculate the potential energy of an object with internal potential energy (e.g., spring, bomb) and use it to describe the object's motion. PI 5.3 Calculate power and use graphical representations of work and power to describe the motion of an object 5.7 Calculate the power delivered to an object by a force. 5.8 Use graphical representations to determine energy transfer or work done on an object. Unit 4: Linear Momentum PI 6.1 Use conservation of linear momentum to describe the motion of objects 6.1 Calculate the linear momentum of an object and relate it to force using the impulse-momentum theorem. 6.2 Use the law of conservation of linear momentum to describe the motion of an object that exerts an external force. 6.3 Use graphical representations of force vs. time to predict changes in the momentum of a system. PI 6.2 Describe the motion of objects involved in one dimensional collisions 6.4 Use the law of conservation of linear momentum to describe the motion of two objects involved in an inelastic collision. 6.5 Use the law of conservation of linear momentum to describe the motion of two objects involved in an elastic collision. PI 6.3 Describe the motion of objects involved in two dimensional collisions 6.6 Use the law of conservation of linear momentum to describe the motion of two objects involved in a glancing (2D) collision. Unit 5: Angular Momentum PI 7.1 Calculate angular variables and use them to describe the motion of an object 7.1 Relate the angular variables of position, displacement, velocity, and acceleration to their linear counterparts. 7.2 Calculate the centripetal acceleration of an object moving in a circlular path and relate it to the centripetal force. PI 7.2 Use Newton's Law of Gravitation and Kepler's Laws to describe planetary motion 7.3 Use Newton's Law of Gravitation to describe the gravitational force of attraction between two objects 7.4 Use Newton's Law of Gravitation, Kepler's Laws, and the centripetal force to describe orbital motion. 7.5 Use Newton's Law of Gravitation to calculate the gravitational potential energy associated with an object a large distance from Earth. 7.6 Use Newton's Law of Gravitation to calculate the escape speed from a planet. PI 8.1 Use torque to describe the motion of rotating objects 8.1 Relate torque to force and use it to describe the motion of rotating objects. PI 8.2 Use rotational equilibrium to describe situations in static equilibrium 8.2 Use rotational equilibrium to calculate the center of mass of an object or system of objects. 8.3 Use rotational equilibrium to describe situations where systems of objects are in static equilibrium. 8.4 Use rotational equilibrium to describe situations involving ladders. PI 8.3 Calculate rotational kinetic energy for an object and use it to describe its motion 8.5 Relate torque to angular acceleration through the moment of inertia, and calculate a simple object's moment of inertia. 8.6 Calculate rotational kinetic inergy for an object and apply it to describe the motion of a rotating object. PI 8.4 Calculate angular momentum and use it to describe the motion of an object 8.7 Calculate the angular momentum for an object and apply it to describe the motion of a rotating object. 8.8 Use the conservation of angular momentum to describe the motion of a rotating object. Unit 6: Simple Harmonic Motion and Waves PI 9.1 Describe the motion of objects in simple harmonic motion 9.1 Define simple harmonic motion and use it to describe the motion of a harmonic oscillator. 9.2 Calculate the period and frequency and describe the motion of a simple harmonic spring oscillator 9.3 Calculate the period and frequency and describe the motion of a simple pendulum. PI 9.2 Describe and predict the motion of waves 9.4 Define a wave as a transfer of energy, differentiate among types of waves, and identify the parts of a wave. 9.5 Use the wave equation to describe the motion of a wave. 9.6 Use the principal of superposition to describe the interference of waves. PI 10.1 Describe sound waves and relate them to the vibratory motions of molecules 10.1 Describe sound waves and relate them to the vibratory motions of molecules. PI 10.2 Describe the properties of a variety of different types of standing waves 10.2 Apply standing wave concepts to describe the motion of a standing wave with two fixed ends. 10.3 Apply standing wave concepts to describe the motion of a standing wave with one fixed end and one open end. 10.4 Apply standing wave concepts to describe the motion of a standing wave with two open ends. PI 10.3 Define beats and relate them to interference and frequency 10.5 Define beats and relate them to interference and frequency. Unit 7: Electricity PI 11.1 Use Coulomb's Law to describe the motion of electric point charges 11.1 Relate the concept of electricity to the movement of electrons and describe basic electrostatics concepts. 11.2 Use Coulomb's Law to calculate the electrostatic force and describe the motion of electrically-charged objects. PI 11.2 Describe the electric field present around electric point charges 11.3 Calculate the electric field around a point charge and use it to describe the motion of electrically-charged objects in the vicinity. 11.4 Draw electric field lines around a point charge to qualitatively describe the motion of electrically-charged objects in the vicinity. PI 12.1 Calculate the electrical resistance of different types of materials 12.1 Define electrical current and relate it to the motion of electrons and electric charge. 12.2 Define electrical resistance and use resistivity to calculate the resistance of a substance, relating it to intermolecular forces. PI 12.2 Resolve simple electronic circuits 12.3 Use Ohm's Law to describe the motion of electrons in a simple electronic circuit. 12.4 Using the concepts of potential difference, resistance, current, and electrical power, describe the resultant effect of a simple electronic circuit. PI 12.3 Resolve more complicated electronic circuits 12.5 Use Kirchoff's loop and junction rules to describe the resultant effect of a complex electronic circuit.