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Effective: Summer 2020 |
PHYS 4A | GENERAL PHYSICS (CALCULUS) | 6 Unit(s) |
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Corequisites: Corequisite: Completion of or concurrent enrollment in MATH 1B or 1BH. |
Advisory: Advisory: Students who have not taken physics in high school are strongly encouraged to take either PHYS 2A or 6 prior. |
Grade Type: Letter Grade, the student may select Pass/No Pass |
Not Repeatable. |
FHGE: Natural Sciences Transferable: CSU/UC |
5 hours lecture, 3 hours laboratory. (96 hours total per quarter) |
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Student Learning Outcomes - - Students should be able to solve problems involving Kinematics, Newton's Laws, Energy, and Momentum, and know when to use which concept.
- Via lab experiments, students will have an understanding of the background science, error analysis, and how to perform experiments.
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Description - |
| Mathematics-physics interrelationships, classical Newtonian mechanics. |
Course Objectives - |
| The student will be able to:
- Explain basic kinematics and solve related problems.
- Apply Newtonian dynamics and the three laws of motion.
- Explain work, energy and power and solve related problems.
- Derive momentum and impulse and apply these concepts to problems.
- Apply their understanding of mechanics to rotational cases.
- Apply their understanding of mechanics to the standard introductory topics of oscillators and universal gravity.
- Assess the limitations of physical laws and make mathematical approximations in appropriate situations.
- Discuss how physical laws are established and the role of scientific evidence as support.
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Special Facilities and/or Equipment - |
| - Physics laboratory with equipment for teaching introductory mechanics.
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Course Content (Body of knowledge) - |
| - Explain basic kinematics and solve related problems.
- Concept of position
- Concept of velocity
- Average velocity
- Instantaneous velocity
- Velocity as the derivative of position
- Concept of acceleration
- Average acceleration
- Instantaneous acceleration
- Acceleration as the derivative of velocity and second derivative of position
- Problems featuring constant acceleration
- Falling body problems
- Motion in two or three dimensions
- Position, velocity and acceleration as vectors
- Projectile motion
- Motion in a circle
- Apply Newtonian dynamics and the three laws of motion.
- Concept of a force
- Newton's first law
- Newton's second law
- The difference between mass and weight
- Free body diagrams
- Newton's third law
- Special forces
- The spring force
- Friction
- The centripetal force
- Explain work, energy and power and solve related problems.
- The definition of work
- Work in one dimension as a result of a constant force
- Work in one dimension as a result of a non-constant force
- Work when the displacement and force are not in one dimension
- Kinetic energy
- Derivation from Newton's second law
- The work-energy theorem
- Power
- Potential energy
- Derivation from work
- Gravitational potential energy
- Spring potential energy
- Conservation of energy
- Conservative and nonconservative forces
- Conservation of energy-type problems with friction
- Energy diagrams and the relationship between forces and potential energies
- Derive momentum and impulse and apply these concepts to problems.
- Conservation of momentum from Newton's third law
- Definition of impulse
- Elastic and inelastic collisions
- The center of mass
- Apply their understanding of mechanics to rotational cases.
- Definitions of angular position, velocity and acceleration
- Cases with constant angular acceleration
- Relationship between linear and angular motion
- Energy considerations in rotational motion
- The moment of inertia
- Moment of inertia for collections of point particles
- Calculation of moment of inertia for extended bodies
- The parallel axis theorem
- Torque
- Angular momentum
- Gyroscopes
- Apply their understanding of mechanics to the standard introductory topics of oscillators and universal gravity.
- Statics
- Equilibrium
- Center of gravity
- Stress, strain and elastic moduli
- Oscillators
- Simple harmonic motion
- Spring and a mass
- Second order differential equations
- Pendula
- Advanced cases
- Damped oscillators
- Forced oscillators
- Resonance
- Universal gravitation
- Newton's law of gravitation
- Gravitational potential energy
- Kepler's laws
- Historical development
- Motion of satellites
- Assess the limitations of physical laws and make mathematical approximations in appropriate situations.
- Physical laws as ideal models
- Methods of approximation
- Discuss how physical laws are established and the role of scientific evidence as support.
- Historical development of a sampling of physical laws
- Use of student-collected data in labs to confirm physical laws
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Methods of Evaluation - |
| - Weekly problem sets
- Periodic midterm tests
- Laboratory performance
- Final examination
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Representative Text(s) - |
| Moebs, Ling, and Sanny. University Physics. OpenStax, 2017.
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Disciplines - |
| Physics/Astronomy
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Method of Instruction - |
| - Lecture
- Discussion
- Cooperative learning exercises
- Electronic discussions/chat
- Laboratory
- Demonstration
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Lab Content - |
| - Suggested laboratory experiments (most experiments should by student driven - they should design how they will test the week's material):
- Introduction to uncertainty
- Period of a pendulum (2 week lab)
- Atwood's machines (2 week lab)
- Drag (2 week lab)
- Measurements of g
- Energy in the bouncing ball system
- Ballisitc pendula
- Numerical simulations
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Types and/or Examples of Required Reading, Writing and Outside of Class Assignments - |
| - Homework problems: Homework problems covering subject matter from text and related material ranging from 10-40 problems per week. Students will need to employ critical thinking in order to complete assignments.
- Lecture: Five hours per week of lecture covering subject matter from text and related material. Reading and study of the textbook, related materials and notes.
- Labs: Students will perform experiments and discuss their results in either the form of a written lab report or via oral examination. Reading and understanding the lab manual prior to class is essential to success.
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