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THE GREAT T2 PHYSICS COMMON ASSESSMENT STUDY GUIDE Contents: 1. Exam Breakdown………………………………………………………………………………………………………………………………….. Page 1 2. Studying and test-taking strategies………………………………………………………………………………………………………….Page 2 3. Big Ideas from Each Topic ……………………………………………………………………………………………………………………….Page 3 a. Unit 4 – Momentum……………………………………………………………………………………………………………………Page 3 b. Unit 5 – Energy……………………………………………………………………………………………………………………………Page 3 c. Unit 6 – Thermodynamics……………………………………………………………………………………………………………Page 4 d. Unit 7 – Electrostatics………………………………………………………………………………………………………………….Page 5 e. Unit 7½ - Uniform Circular Motion ……………………………………………………………………………………………..Page 5 f. Cumulative Topics – Kinematics and Universal Gravitation…………………………………………………………..Page6 4. Table of variables and standard units 5. Common conversions The Common Assessment Breakdown: 45 multiple choice, 90 minutes (2 minutes / question) 2 Free Response questions, 45 minutes o 1 lab-based o 1 cumulative Multiple Choice Breakdown by Topic: Unit Topic (Objectives) 4 – Momentum 5 – Energy 6 – Thermodynamics 7 – Electrostatics 7½ – Uniform Circular Motion CUMULATIVE REVIEW # of Questions 4.1: Momentum 4.2: Impulse 4.3: Conservation of Momentum 5.1: Types of Energy and their Transformations 5.2: Conservation of Energy 5.3: Work 5.4: Power 6.1: Methods of Heat Transfer 6.2: Laws of Thermodynamics 6.3: Energetic Properties of Matter 6.4: Specific Heat, Latent Heat, and Thermal Equilibrium 5.1: Electric Charge 5.2: Coulomb’s Law 5.3: Electric Fields 5.4: Electric Potential and Work 7½.1: Tangential Velocity and Centripetal Acceleration 7½.2: Applications of UCM 1.1: One-Dimensional Kinematics 3.2: Universal Gravitation Studying Strategies: Principle 1: Manage Your Time! I recommend studying physics for an hour per night (including weekends) each day from now until the Common Assessment. That gives you five evenings to review- one night per unit on the exam. 6 6 6 6 3 4 4 4 6 Principle 2: Focus! How do you study best? Do you best study alone or with others (be honest with yourself about how much work you get done with friends or significant others!)? Do you prefer to study while listening to music, collaboratively working with others, or in a silent environment? Determine your ideal studying style and find a way to maximize this studying! Don’t study at your computer where Facebook or Twitter can distract you! Don’t study in front of the TV! Whether you hibernate in your room, sit at your kitchen table, head to the library, or claim a table at Starbucks, eliminate distractions. Determine where you’ll study, when you’ll study, who you’ll study with, and stick to it! Principle 3: Be Tactful! Don’t try to study everything at once. It’s overwhelming, and you won’t be as successful! Pick one major unit or topic to study each day, and only review that topic. You’ll be more focused, and get more practice on a specific objective. A common strategy I used while studying in college was figuring out what I didn’t know, reviewing that first, and leaving the concepts I knew easily for last. How you can apply this strategy right now: 1) Review your past exams and end-ofunit reflections; 2) identify your weakest topics; and 3) focus your studying on those topics. Principle 4: Keep your brain calm! Your brain operates better when you’ve had a good night’s sleep. Experts recommend 8 hours. Your realistic physics teacher who spent far too many late nights at the library cramming for finals recommends a minimum of 6 hours. Furthermore, don’t study anything the day of the test! Don’t stress yourself out cramming during lunch right before the Common Exam. Use that time to alleviate some stress: eat a healthy lunch, get some exercise at activity time to increase endorphins and lower stress levels, listen to music to focus yourself, and just come into the test with a positive attitude. A calm, collected, and ready-to-problem-solve mind can make all the difference after a long week of testing! Test-Taking Strategies: Principle 1: Go with What You Know! There will be problems that you don’t have any idea how to solve right away. There will be problems that you look at and you feel as though you can solve it in your sleep. Solve those easy problems first! Each problem—no matter the difficulty level—is worth the same amount of points on the multiple choice section. Solving simpler problems you definitely can solve first and skipping the ones you find challenging will help boost your self-esteem early in the test, and maximize your score. Principle 2: If all else fails part 1: GUESS! There will be problems that you look at and they seem foreign. If you rack your brain and can’t determine the concept the question is assessing, a great strategy before you just bubble a random answer is to GUESS. Identify your Givens. Identify your Unknowns. Look for the Equation corresponding to the variables you know and the one you want. Substitute and Solve! Principle 3: If all else fails part 2: guess! There’s five minutes left of the test, and you have 12 unanswered questions. AH! At this point, pick one remaining question you feel most comfortable with to try and work through, but before you finish that one question, guess and bubble answers for the rest! There’s no penalty for guessing on Common Assessments, and while I want 100% of you to finish with time leftover to check your answers and then take a nap, I know that may not be realistic for everyone. So make sure at the end of the test, no question goes unanswered. Principle 4: Never give up. Never surrender! Attempt all problems, and never settle for “I don’t know,” or “I don’t care.” Especially on Free Response, you receive partial credit for correct setup, equations, and even units! Even if you feel like you don’t understand a problem, work your way through! It’s training your brain- just keep at it! Major Topics, the Big Ideas, and Practice Problems This section is to help you study by objective. After you identify your weakest topics, use this guide to review most important concepts. Then study problems on your notes and from homework on that topic (all copies of filled in notes will be posted online at http://ypsephysics.wordpress.com), and then complete the practice problems on the 2011-12 T2 Common Assessment and re-take exams on your own (all solutions will also be posted online at the URL above). If you still struggle with the practice problems, check out online tutorials from https://www.khanacademy.org/science/physics (great for AP Level 4 or AP Level 5 problems!) or http://physicsclassroom.com! Unit 4: Momentum Topic: 4.1 Momentum Problems to work: 7 The Big Ideas Momentum is how difficult an object is to stop Momentum = Mass x Velocity Topic: 4.2 Impulse Problems to work: 29, 31 The Big Ideas Impulse is an object’s change in momentum Impulse = final momentum – initial momentum Impulse = mass x change in velocity = force x time Topic: 4.3 Conservation of Momentum Problems to Work: 5, 21, 23 The Big Ideas Any time an object collides with another object, this involves conservation of momentum Momentum lost by one object is gained by another object The impulse one object experiences is equal and opposite to the impulse of the other object The total momentum is the same before and after the collision When two objects stick together, or collide perfectly inelastically, they have the same final velocity Unit 5: Energy Topic: 5.1 – Types of Energy Problems to Work: 13 (step 1), 22, 30, 33 The Big Ideas Energy is the ability of an object to do work Potential gravitational energy is energy an object has due to height Potential elastic energy is energy an object has while being stretched or compressed Kinetic energy is energy an object has due to motion The sum of an object’s kinetic and potential energies is its total mechanical energy Topic 5.2 – Conservation of Energy Problems to Work: 10, 16, 23, 24, 44 The Big Ideas Energy cannot be created or destroyed, only transformed to other types of energy When work is not done (i.e. lifting or pushing an object) and heat is not released (i.e. friction), the total mechanical of an object is constant Change in energy of an object is equal to the heat absorbed plus work done on the object Topic 5.3 – Work Problems to Work: 26, 28, 34 The Big Ideas Work is an object’s change in energy when heat remains constant When an object is accelerated by an outside force, work = change in kinetic energy When an object is lifted, work = change in potential energy Topic 5.4 – Power Problems to Work: 34, 43 The Big Ideas Power is the rate at which energy is used Power = force x velocity = work / time Unit 6: Thermodynamics Topic: 6.1 – Methods of Heat Transfer The Big Ideas Conduction is the transfer of heat through the collisions of particles, most often in solids Problems to Work: 6, 20, 40 Convection is the transfer of heat through the expansion of particles, most often in liquids and gases Radiation is the transfer of heat through waves directly from energy sources Topic: 6.2 – The Laws of Thermodynamics Problems to Work: 26, 38 The Big Ideas The Zeroth Law of Thermodynamics states that when a hot object placed next to a cool object, heat will transfer from the hot object to the cool object until they reach thermal equilibrium (the same temperature) The First Law of Thermodynamics is the Law of Conservation of Energy o To change the internal energy of an object, it can either absorb or release heat, do work, or have work done on it The Second Law of Thermodynamics is the Law of Entropy. o Entropy is the amount of disorder in a system o High entropy makes it harder to do work, making engines less efficient o Entropy in the universe is always increasing The Third Law of Thermodynamics states that as an object approaches absolute zero, its entropy will become zero; however, nothing can reach this temperature since objects must always have some kinetic energy Over one or more cycles of an engine, its change in internal energy equals zero: o 0 = Qabsorbed + W + Qreleased Topic: 6.3 – Energetic Properties of Matter Problems to Work: 2, 3 The Big Ideas Solids have the lowest entropy and lowest energy Gases have the greatest entropy and greatest energy When substances are increasing temperature, they are increasing kinetic energy When substances are changing phase, they are increasing potential energy Topic: 6.4 – Specific Heat, Latent Heat, and Thermal Equilibrium Problems to Work: 8, 13 (2nd step), 15, 39 The Big Ideas Specific heat capacity is the amount of energy required to raise 1 g of a substance by 1°C Latent heat is the amount of energy required to change the phase of 1 g of a substance o Fusion = solid liquid o Vaporization = liquid gas For a system exchanging heat with its surroundings, the heat lost by the system is gained by the surroundings until the two reach thermal equilibrium Unit 7: Electrostatics Topic: 7.1 – Electric Charge Problems to Work: 24, 52, 53 The Big Ideas Charge is an imbalance of protons and electrons o More electrons than protons = negative o More protons than electrons = positive Like charges repel; opposite charges attract Conductors transfer charge easily and have a large number of free electrons Insulators do not transfer charge easily and have a small number of free electrons When charging via friction, electrons move from a less electronegative object to a more electronegative object When charging via conduction on objects of equal size, electrons diffuse from the more negative object to the less negative object until the two have even charge density Topic: 7.2 – Coulomb’s Law Problems to Work: 45, 46, 47 The Big Ideas Electrostatic forces are directly proportional to charge and inversely proportional to the square of the distance separating them. Topic: 7.3 – Electric Fields Problems to Work: 48, 49 The Big Ideas Electric fields are to electrostatic forces as acceleration is to gravitational forces Electric field is the force per unit charge a positive charge would experience in a space Electric field lines point from positive charges to negative charges Electric field lines indicate the direction a positive charge would experience a force A greater density of field lines indicate a stronger electric field Topic: 7.4 – Electric Potential and Work Problems to Work: 50, 51 The Big Ideas Electric potential is the energy per unit charge a positive charge would experience in a space Equipotential lines run perpendicular to electric field lines Unit 7½: Uniform Circular Motion Topic: Centripetal Acceleration and Tangential Velocity Problems to Work: 1, 12, 18, 41 The Big Ideas Centripetal acceleration changes the direction of an object’s velocity Centripetal acceleration always points toward the center of a circle Tangential velocity always points in the direction an object would fly off a circle Review: Topic: 3.2 – Universal Gravitation Problems to Work: 14, 19, 35, 36 The Big Ideas Gravitational force is an object’s weight The gravitational force is directly proportional to object’s masses and inversely proportional to the square of the distance between them Gravitational forces are always attractive Topic: 1.1 – One Dimensional Kinematics Problems to Work: 1, 34, 54, 55 The Big Ideas Displacement, velocity, and acceleration are vectors that have both magnitude and direction Distance and speed are scalars that do not have direction Velocity is the rate of change of displacement. Acceleration is the rate of change of velocity. Problems can be solved using a dvivfat table Common Variables, their Symbols, and Standard Units Variable Time Displacement Velocity Acceleration Mass Force Momentum Impulse Energy Work Heat Power Charge Electric Field Electric Potential Symbol t d v a m F p J KE, PE W Q P q E V Common Metric Conversions cm m: divide by 100 km m: multiply by 1000 g kg: divide by 1000 kN N: multiply by 1000 kJ J: multiply by 1000 µC C: multiply by 10-6 Unit Seconds (s) Meters (m) Meters / Second (m/s) Meters / Second2 (m/s2) Kilograms (kg) Newtons (N) Kilograms*meters per second (kg m/s) Kilograms*meters per second (kg m/s) Joules (J) Joules (J) Joules (J) Watts (W) Coulomb (C) Newtons / Coulomb (N/C) Volts (V)