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Essential Calculus-based Physics Study Guide Workbook: The Laws of Motion



Essential Calculus-based Physics Study Guide Workbook: The Laws of Motion PDF

Author: Chris McMullen

Publisher: Zishka Publishing

Genres:

Publish Date: September 11, 2016

ISBN-10: 1941691153

Pages: 484

File Type: PDF

Language: English

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Book Preface

EXPECTATIONS
Prerequisites:
• The student should know some basic algebra skills, such as how to solve for ?? by combining like terms and isolating the unknown. This book reviews the quadratic equation and the method of substitution in Chapter 1.
• The student should have prior exposure to trigonometry. This book reviews trig skills which are essential to physics in Chapter 7.
• The student should be familiar with how to find a few geometric measures, like the area of a circle or the perimeter of a rectangle. This book reviews useful geometric formulas in Chapter 3.
• No prior physics knowledge is needed to use this book.
Use:
• This book is intended to serve as a supplement for students who are attending physics lectures, reading a physics textbook, or reviewing physics fundamentals.
• The goal is to help students quickly find the most essential material.
Concepts:
• Each chapter reviews relevant definitions, concepts, laws, or equations needed to understand how to solve the problems.
• This book does not provide a comprehensive review of every concept from physics, but does cover most physics concepts that are involved in solving problems.
Strategies:
• Each chapter describes the problem-solving strategy needed to solve the problemsat the end of the chapter.
• This book covers the kinds of fundamental problems which are commonly found in standard physics textbooks.
Help:
• Every chapter includes representative examples with step-by-step solutions and explanations. These examples should serve as a guide to help students solve similar problems at the end of each chapter.
• Each problem includes the main answer(s) on the same page as the question. At the back of the book, you can find hints, intermediate answers, directions to help walk you through the steps of each solution, and explanations regarding common issues that students encounter when solving the problems. It’s very much like having your own physics tutor at the back of the book to help you solve each problem.

The goal of this study guide workbook is to provide practice and help carrying out essential problem-solving strategies that are standard in first-semester physics. The aim here is not to overwhelm the student with comprehensive coverage of every type of problem, but to focus on the main strategies and techniques with which most physics students struggle.
This workbook is not intended to serve as a substitute for lectures or for a textbook, but is rather intended to serve as a valuable supplement. Each chapter includes a concise review of the essential information, a handy outline of the problem-solving strategies, and examples which show step-by-step how to carry out the procedure. This is not intended to teach the material, but is designed to serve as a time-saving review for students who have already been exposed to the material in class or in a textbook. Students who would like more examples or a more thorough introduction to the material should review their lecture notes or read their textbooks.
Every exercise in this study guide workbook applies the same strategy which is solved step-by-step in at least one example within the chapter. Study the examples and then follow them closely in order to complete the exercises. Many of the exercises are broken down into parts to help guide the student through the exercises. Each exercise tabulates the corresponding answers on the same page. Students can find additional help in the hints section at the back of the book, which provides hints, answers to intermediate steps, directions to walk students through every solution, and explanations regarding issues that students commonly ask about.
Every problem in this book can be solved without the aid of a calculator. You may use a calculator if you wish, though it is a valuable skill to be able to perform basic math without relying on a calculator.

CONTENTS
Introduction 5
Chapter 1 – Algebra Essentials 7
Chapter 2 – One-dimensional Uniform Acceleration 13
Chapter 3 – Geometry Essentials 25
Chapter 4 – Motion Graphs 33
Chapter 5 – Two Objects in Motion 41
Chapter 6 – Net and Average Values 47
Chapter 7 – Trigonometry Essentials 55
Chapter 8 – Vector Addition 65
Chapter 9 – Projectile Motion 75
Chapter 10 – Newton’s Laws of Motion 83
Chapter 11 – Applications of Newton’s Second Law 89
Chapter 12 – Hooke’s Law 103
Chapter 13 – Uniform Circular Motion 109
Chapter 14 – Uniform Circular Motion with Newton’s Second Law 117
Chapter 15 – Newton’s Law of Gravity 125
Chapter 16 – Satellite Motion 135
Chapter 17 – Work and Power 141
Chapter 18 – Conservation of Energy 151
Chapter 19 – One-dimensional Collisions 175
Chapter 20 – Two-dimensional Collisions 189
Chapter 21 – Center of Mass 197
Chapter 22 – Uniform Angular Acceleration 205
Chapter 23 – Torque 211
Chapter 24 – Static Equilibrium 217
Chapter 25 – Moment of Inertia 229
Chapter 26 – A Pulley Rotating without Slipping 241
Chapter 27 – Rolling without Slipping 247
Chapter 28 – Conservation of Angular Momentum 255
Hints, Intermediate Answers, and Explanations 263


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