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Makeup and Final Exam Review What did you learn? The following is a list of topics that could be covered on the exam. These are the topics found in the table of contents in the notes. If a topic is missing, IT IS NOT ON THE EXAM! For the exam you need to know how to… 1. Mathematics a. Algebra, Trigonometry and Geometry 1. Solve algebraic equations 2. Solve problems in geometry 3. Solve problems in trigonometry 4. Use the quadratic formula b. Preview of Calculus 1. Solve the derivative of a polynomial 2. Solve the derivative of a sine or cosine function 3. Determine if the derivative of a point on a curve is positive, negative or zero 4. Solve the derivative of a vector c. Mathematics in Physics 1. List the units and dimensions for the physical quantities we have learned so far 2. Define physical quantities, dimensions and units 3. Use scientific notation d. Method of Substitution 1. Determine the number of equations needed to solve for more than one unknown 2. Determine whether an equation gives a useful result 3. Use substitution to find the answer with multiple equations and unknowns e. Vectors 1. Tell difference between a vector and a scalar 2. Define vector and scalar 3. Calculate magnitude and angle of a vector from its components 4. Calculate components of a vector from its magnitude and angle 5. Know what physical quantities are vectors and be able to use the vector equations on them 6. Multiply a scalar and a vector 7. Add and subtracting vectors mathematically and graphically 8. Calculate dot products from magnitude/angle or components 9. Know which type of product gives you a scalar and which gives you a vector 2. Kinematics a. Time and Duration 1. Describe the difference between time and duration 2. Determine the important times used to solve a physics problem 3. Draw diagrams used in a physics problem b. Position, Displacement and Distance 1. Describe the difference between position, displacement and distance 2. Determine the important positions used to solve a problem c. Velocity and Speed 1. Describe the difference between velocity and acceleration 2. Convert position graphs to velocity graphs 3. Describe the difference between instantaneous and average velocity 4. Find instantaneous velocity from position mathematically 5. Find the average velocity from displacement and duration d. Acceleration 1. Convert velocity graphs acceleration graphs 2. Find acceleration from velocity mathematically 3. Find the average acceleration from change in velocity and duration e. Constant Acceleration and Circular Motion 1. Determine if a problem involves constant acceleration or centripetal acceleration 2. Use the constant acceleration equations 3. Find the magnitude and direction of the centripetal acceleration 3. Force a. Types of Force 1. Be able to list the five types of force 2. Be able to determine when each of these forces is present in a problem b. Magnitudes of the Forces 1. Be able to determine if the magnitude of a force can be calculated 2. Be able to calculate the force for each type that has an equation c. Directions of the Forces 1. Be able to determine the direction of each force in a problem 2. Be able to choose a good coordinate system and define each direction as an angle. d. Newton's Laws 1. Know Newton’s Second Law and be able to use it in a problem e. Free-Body Diagrams 1. Be able to draw the free-body diagram and solve a complex force problem from start to finish 4. Work/Energy a. Work 1. Be able to use the definition of work to find the work done by various forces 2. Know what the displacement is and be able to take the dot product of this displacement with the force 3. Be able to solve the integral for work b. Kinetic Energy 1. Be able to find the kinetic energy of an object form its mass and speed 2. Be able to find its change in kinetic energy form the work done on an object 3. Be able to calculate power c. Work-Energy Theorem 1. Remember the two forms of the work-energy theorem (with and without potential energy) 2. Be able to calculate the work done or the energies of various objects using the work-energy theorem d. Conservative Forces 1. Define what makes a force conservative 2. List the forces that are conservative e. Potential Energy 1. Remember the TWO types of potential energy 2. Use the equation for each type of potential energy 5. Impulse/Momentum a. Impulse 1. Be able to determine the impulse from force and duration 2. Be able to determine impulse from momentum b. Momentum 1. Remember and be able to use the equation for momentum 2. Know what the conditions are that make momentum constant c. Elastic Collisions 1. Define an elastic collision 2. Solve elastic collision problems d. Inelastic Collisions 1. Define an inelastic collision 2. Solve inelastic collision problems 6. Rotation a. Density and Center-of-Mass 1. Be able to determine the center-of-mass for many particles 2. Be able to determine center-of-mass for an extended body 3. Be able to determine the velocity of the center-of-mass from its position 4. Be able to determine the velocity of the center-of-mass for many particles when their velocity is known 5. Be able to determine the acceleration of the center-of-mass from its velocity 6. Be able to determine the acceleration of the center-of-mass for many particles when their acceleration is known 7. Be able to perform a free-body diagram for more than one particle and determine the force on the center-of-mass of the system 8. Be able to use the work-energy theorem for a group of particles 9. Be able to use the impulse-momentum theorem for a group of particles 10. Be able to calculate the total energy of a system 11. Be able to calculate the total momentum of a system b. Rotational Variables 1. Be able to give the mathematically corresponding rotational variable for each translational variable and vice versa 2. Be able to calculate the corresponding rotational variable from each translational variable and the position from the center of rotation and vice versa 3. Be able to determine the direction of the corresponding rotational variable from each translational variable and the position from the center of rotation and vice versa c. Kinematics of Rotation 1. Be able to recognize and perform kinematics problems involving constant angular acceleration d. Torque 1. Be able to recognize and perform “free-body” diagrams for problems involving torque. 7. Oscillations a. Simple Harmonic Motion 1. Be able to describe what a simple harmonic oscillator is. 2. Be able to find the period of a simple harmonic oscillator experimentally. 3. Be able to find the frequency and angular frequency of an oscillator from its period. b. Springs 1. Be able to describe how a spring oscillates. 2. Be able to find the period of a spring experimentally. 3. Be able to find the frequency and angular frequency of a spring from its period. 4. Be able to determine the angular frequency of a spring from the spring constant and mass. 5. Be able to determine the characteristics (amplitude, angular frequency, phase and frequency) of a spring from its equations. c. Pendulums 1. Be able to describe how a pendulum oscillates. 2. Be able to find the period of a pendulum experimentally. 3. Be able to find the frequency and angular frequency of a pendulum from its period. 4. Be able to determine the angular frequency of a pendulum from its length and the acceleration due to gravity. 5. Be able to determine the characteristics (amplitude, angular frequency, phase and frequency) of a pendulum from its equations. You should review Chapters 1-10 and 13 in your textbook How did you learn it? To prepare for the exam, you should do the following. 1. Be sure you know how to do all of the homework and preassignment problems. 2. Be sure you can do all of the items under “Exam” for each section of the website 3. Put as much information as possible into your notebook(s). (Remember: it MUST be handwritten.) You can put anything you want in these notebook(s), but here are suggestions of things you might put there. a. A copy of the homework and preassignments. b. All of the equations from the lecture notes and textbook. c. All of the definitions from the lecture notes. d. Notes on topics that give you difficulties. 4. Get enough sleep the night before the exam. Are you ready? What do you need to bring to the exam? (You are not allowed to have anything else at your desk!) 1. an HB lead or #2 pencil 2. a calculator 3. extra calculator batteries 4. your notebook(s) 5. a watch 6. a scantron Rules for the exam 1. Do not enter the room until Dr. Mike says to come in. 2. Leave all backpacks and other material at the front of the room. 3. Do not talk unless Dr. Mike gives you permission. (You may raise your hand and he will come over to answer your question.) 4. You may NOT have a cell phone or other communication or electronic device with you during the exam. (If you leave a cell phone in your backpack, turn it off or set it to mute.) 5. There will be directions, exams and scantrons at the front of the room, take only one of each. 6. Sit in the seat with the same row and column number as the one written in red on the top of your exam. (If you are confused, consult the exam directions that will be given to you at that time or talk to Dr. Mike.) 7. Look at the directions to see rules for filling out the scantrons and begin filling out the top. 8. Write your name on the exam and use the exam to do your scratch work. 9. Mark answers on the exam as well as the scantrons. 10. Watch the blackboard for further information during the exam. (What is written there will be considered part of the exam.) a. Be careful of the time. You will have only 50 minutes for the exam. It will start promptly at 10:30am and end at 11:20am. (Dr. Mike will count down the last 10 seconds. There will be no extensions without a letter from Services for Students with Disabilities.)