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.
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| 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. |