NYSTCE CST 009 Physics Teacher Certification Exam By: Sharon Wynne, M.S Southern Connecticut State University XAMonline, INC. Boston PHYSICS Copyright © 2008 XAMonline, Inc. All rights reserved. No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording or by any information storage and retrievable system, without written permission from the copyright holder. To obtain permission(s) to use the material from this work for any purpose including workshops or seminars, please submit a written request to: XAMonline, Inc. 21 Orient Ave. Melrose, MA 02176 Toll Free 1-800-509-4128 Email: [email protected] Web www.xamonline.com Fax: 1-781-662-9268 Library of Congress Cataloging-in-Publication Data Wynne, Sharon A. CST Physics 009: Teacher Certification / Sharon A. Wynne. -2nd ed. ISBN 978-1-60787-894-0 1. Physics 009. 2. Study Guides. 3. NYSTCE 4. Teachers’ Certification & Licensure. 5. Careers Disclaimer: The opinions expressed in this publication are the sole works of XAMonline and were created independently from the National Education Association, Educational Testing Service, or any State Department of Education, National Evaluation Systems or other testing affiliates. Between the time of publication and printing, state specific standards as well as testing formats and website information may change that is not included in part or in whole within this product. Sample test questions are developed by XAMonline and reflect similar content as on real tests; however, they are not former tests. XAMonline assembles content that aligns with state standards but makes no claims nor guarantees teacher candidates a passing score. Numerical scores are determined by testing companies such as NES or ETS and then are compared with individual state standards. A passing score varies from state to state. Printed in the United States of America œ-1 NYSTCE: CST Physics 009 ISBN: 978-1-60787-894-0 TEACHER CERTIFICATION STUDY GUIDE TTaabbllee ooff CCoonntteennttss SUBAREA I FOUNDATIONS OF SCIENTIFIC INQUIRY Competency 1.0 Understands the historical and contemporary contexts of the study of physics, including the relationships and common themes that connect mathematics, science, and technology and their applications to everyday life Skill 1.1 Analyzing the role of early civilizations in establishing the foundations of physics ............................................................................................ 1 Skill 1.2 Recognizing key events and analyzing the contributions of individuals in the development of physics ............................................................. 2 Skill 1.3 Demonstrating an understanding of current theories of the origin, structure, and composition of the universe ...................................... 6 Skill 1.4 Assessing the societal implications of physics ................................ 7 Skill 1.5 Applying the laws of physics to geological, chemical, biological, and astronomical systems ...................................................................... 8 Skill 1.6 Analyzing the use of physics, mathematics, and other sciences in the design of a technological solution to a given problem ..................... 9 Skill 1.7 Analyzing the role of technology in the advancement of scientific knowledge ..................................................................................... 10 Skill 1.8 Evaluating the appropriateness of a variety of software and information technologies to model and solve problems in mathematics, science, and technology ..................................................................................... 11 Skill 1.9 Analyzing solutions to everyday-life problems that incorporate knowledge and skills of mathematics, science, and technology ...................................................................................................... 13 Competency 2.0 Understand the process of scientific inquiry and the role of observation and experimentation in explaining natural phenomena Skill 2.1 Analyzing processes by which new scientific knowledge and hypotheses are generated ................................................................................ 15 Skill 2.2 Analyzing ethical issues related to doing science ......................... 19 PHYSICS i TEACHER CERTIFICATION STUDY GUIDE Skill 2.3 Evaluating the appropriateness of a specified experimental design to test a given physics hypothesis ............................................................ 19 Skill 2.4 Recognizing the role of communication among scientists and between scientists and the public in promoting scientific progress .................. ...................................................................................................... 21 Competency 3.0 Understand the processes of gathering, organizing, reporting, and interpreting scientific data and apply this understanding in the context of physics investigations Skill 3.1 Evaluating the appropriateness of a given method or procedure for collecting data for a specified purpose .......................................... 22 Skill 3.2 Selecting an appropriate and effective graphic representation for organizing, reporting, and analyzing given experimental data ....... 23 Skill 3.3 Applying procedures and criteria for formally reporting experimental procedures and data to the scientific community ........................... 25 Skill 3.4 Analyzing relationships between factors as indicated by experimental data ...................................................................................................... 26 Skill 3.5 Coordinating explanations at different levels of scale, points of focus, and degrees of complexity and specificity ............................................ 29 Skill 3.6 Applying statistical techniques to analyze data ............................. 30 Competency 4.0 Understand principles and procedures of measurement and the safe and proper use of equipment and materials used in physics investigations Skill 4.1 Evaluating the appropriateness of SI units of measurement, measuring devices, or methods of measurement for given situations ............. 32 Skill 4.2 Analyzing likely sources of error in given measurements in physics experiments ................................................................................... 33 Skill 4.3 Distinguishing between accuracy and precision in scientific measurements ...................................................................................................... 35 Skill 4.4 Using significant figures in performing calculations and expressing measurements ............................................................................... 36 Skill 4.5 Analyzing the principles upon which given laboratory instruments are based ............................................................................................. 37 PHYSICS ii TEACHER CERTIFICATION STUDY GUIDE Skill 4.6 Analyzing hazards of laboratory materials ..................................... 39 Skill 4.7 Applying safety rules regarding electricity and electrical equipment40 Skill 4.8 Applying proper procedures for dealing with accidents and injuries in the physics laboratory.......................................................................... 41 Competency 5.0 Understand the use of mathematics and mathematical modeling in physics Skill 5.1 Using mathematics to derive and solve equations......................... 43 Skill 5.2 Applying algebra and geometry to model physical situations ........ 44 Skill 5.3 Applying dimensional analysis to solve problems .......................... 46 Skill 5.4 Applying trigonometry and graphing to vectors ............................. 46 Skill 5.5 Using fundamental concepts of calculus ....................................... 49 SUBAREA II MECHANICS AND THERMODYNAMICS Competency 6.0 Understand concepts related to motion in one and two dimensions, and apply this knowledge to solve problems that require the use of algebra, trigonometry, and graphing Skill 6.1 Applying the terminology, units, and equations used to describe and analyze one and two-dimensional motion ...................................... 51 Skill 6.2 Solving problems involving distance, displacement, speed, velocity, and constant acceleration ..................................................................... 52 Skill 6.3 Interpreting information presented in one or more graphic representations related to distance, displacement, speed, velocity, and constant acceleration ................................................................................... 55 Skill 6.4 Analyzing the movement of freely falling objects near the surface of the earth .............................................................................................. 55 PHYSICS iii TEACHER CERTIFICATION STUDY GUIDE Competency 7.0 Understand characteristics of forces and methods used to measure force, and solve problems involving forces Skill 7.1 Identifying and analyzing the characteristics of the fundamental forces of nature ............................................................................................ 57 Skill 7.2 Identifying forces acting in a given situation .................................. 58 Skill 7.3 Analyzing experimental designs for measuring forces ................. 59 Skill 7.4 Applying graphic solutions to solve problems involving the vector nature of force .............................................................................................. 61 Skill 7.5 Determining the resultant of two or more forces algebraically ....... 61 Skill 7.6 Applying the concepts of force, pressure, and density .................. 63 Skill 7.7 Applying Pascal's principle to analyze fluid statics ....................... 63 Skill 7.8 Applying Archimedes' principle to problems involving buoyancy and flotation .......................................................................................... 64 Competency 8.0 Understand and apply the laws of motion and conservation of momentum Skill 8.1 Analyzing the characteristics of each of Newton's laws of motion and giving examples of each ................................................................ 67 Skill 8.2 Applying Newton's laws of motion in solving problems .................. 69 Skill 8.3 Solving problems involving gravitational and frictional forces ........ 70 Skill 8.4 Solving problems involving force constants ................................... 73 Skill 8.5 Applying the conservation of momentum to analyze and solve problems ...................................................................................................... 74 Skill 8.6 Understanding the implications of special relativity for the laws of motion ...................................................................................................... 76 Competency 9.0 Understand and apply the principle of conservation of energy and the concepts of energy, work, and power Skill 9.1 Analyzing mechanical systems in terms of work, power, and conservation of energy ....................................................................................... 78 PHYSICS iv TEACHER CERTIFICATION STUDY GUIDE Skill 9.2 Using the concept of conservation of energy to solve problems .... 81 Skill 9.3 Solving problems using the work-energy theorem ......................... 82 Skill 9.4 Determining power and efficiency as they relate to work and energy in a variety of situations ........................................................................ 83 Skill 9.5 Analyzing energy conversions in everyday-life .............................. 83 Skill 9.6 Analyzing systems in which total energy is conserved but mechanical energy is not conserved ................................................................ 84 Competency 10.0 Understand the characteristics of circular motion, simple harmonic motion, and other periodic motion, and solve problems involving these types of motion Skill 10.1 Applying vector analysis to describe uniform circular motion in radians ...................................................................................................... 86 Skill 10.2 Determining the magnitude and direction of the force acting on a particle in uniform circular motion .............................................................. 88 Skill 10.3 Applying characteristics of circular motion and gravitational force to analyze planetary motion ............................................................... 89 Skill 10.4 Analyzing the relationships among displacement, velocity, and acceleration in simple harmonic motion ......................................... 90 Skill 10.5 Analyzing energy interactions in oscillating systems ..................... 92 Skill 10.6 Solving equilibrium problems involving torques ............................. 93 Skill 10.7 Applying the relationship between torque and angular acceleration to solve problems .............................................................................. 94 Skill 10.8 Applying the law of conservation of angular momentum to describe phenomena and solve problems ................................................... 96 Skill 10.9 Applying the law of conservation of energy to systems involving rotational motion ............................................................................................ 98 Competency 11.0 Understand and apply the principles and laws of thermodynamics Skill 11.1 Analyzing systems in terms of heat energy, internal energy, and work ...................................................................................................... 99 PHYSICS v TEACHER CERTIFICATION STUDY GUIDE Skill 11.2 Applying the first law of thermodynamics to analyze energy conversions in a variety of situations ..................................................................... 99 Skill 11.3 Demonstrating an understanding of the second law of thermodynamics and of how the entropy of a system changes .............................. 101 Skill 11.4 Analyzing temperature and temperature scales .......................... 103 Skill 11.5 Solving problems involving thermal expansion and thermal contraction of solids, liquids, and ideal gases .................................................... 104 Skill 11.6 Analyzing methods of heat transfers ........................................... 107 Skill 11.7 Solving problems involving heat capacity, specific heat, heat transfer, heat of fusion, heat of vaporization, and phase changes .................... 108 Skill 11.8 Describing thermal properties of matter in terms of molecular theory ......................................................................... 112 SUBAREA III ELECTRICITY AND MAGNETISM Competency 12.0 Understand characteristics and units of electric charge, electric fields, electric potential, and capacitance; and apply principles of static electricity to problems involving Coulomb's law and electric field intensity Skill 12.1 Analyzing the behavior of an electroscope .................................. 114 Skill 12.2 Analyzing common electrostatic phenomena .............................. 116 Skill 12.3 Applying Coulomb's law to determine the forces between charges ......................................................................... 116 Skill 12.4 Applying principles of electrostatics to determine electric field intensity ................................................................... 118 Skill 12.5 Analyzing the vector nature of electric fields and forces .............. 119 Skill 12.6 Applying principles of electrostatics to determine electrical potential ........................................................................ 119 Skill 12.7 Applying the relationship among capacitance, charge, and potential difference ..................................................................................... 121 PHYSICS vi TEACHER CERTIFICATION STUDY GUIDE Competency 13.0 Understand and analyze characteristics of DC circuits Skill 13.1 Analyzing a DC circuit in terms of conservation of energy and conservation of charge ................................................................ 124 Skill 13.2 Analyzing the interrelationships among potential difference, resistance, and current .................................................................................. 125 Skill 13.3 Analyzing factors that affect resistance ....................................... 126 Skill 13.4 Solving problems involving Ohm's law ........................................ 127 Skill 13.5 Describing how to use various meters to measure properties of an electric circuit ........................................................................................... 128 Skill 13.6 Interpreting schematic diagrams of electric circuits ..................... 129 Skill 13.7 Analyzing work, energy, and power in DC circuits ....................... 130 Skill 13.8 Describing the properties of conductors, semiconductors, superconductors .................................................................................................... 131 Skill 13.9 Describing the function of a solid state device in an electric circuit133 Competency 14.0 Understand magnets, electromagnets, and magnetic fields; the effects of magnetic fields on moving electric charges; and the applications of electromagnetism Skill 14.1 Describing magnetic fields as the result of moving electric charges135 Skill 14.2 Applying the domain theory to the magnetization of ferromagnetic materials ...................................................................................... 136 Skill 14.3 Determining the orientation and magnitude of a magnetic field ... 138 Skill 14.4 Determining the magnitude and direction of the force on a charge or charges moving in a magnetic field ............................................. 139 Skill 14.5 Analyzing the behavior of a current-carrying wire in a magnetic field140 Skill 14.6 Analyzing factors that affect the strength of an electromagnet .... 141 Skill 14.7 Analyzing the use of electromagnetism in technology ................. 142 PHYSICS vii