Introduction |
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How This Workbook Is Organized |
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Where to Go for Additional Help |
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Part 1: The Questions |
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Chapter 1 Reviewing Math Fundamentals and Physics Measurements |
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The Problems You'll Work On |
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7 | (1) |
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Equipping Yourself with Basic Algebra |
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8 | (1) |
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Tackling a Little Trigonometry |
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8 | (1) |
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8 | (1) |
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Practicing Scientific Notation |
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9 | (1) |
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Understanding Unit Prefixes |
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Spotting the Number of Significant Digits |
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9 | (1) |
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Rounding to the Correct Number of Digits |
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10 | (1) |
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Chapter 2 Moving along with Kinematics |
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The Problems You'll Work On |
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11 | (1) |
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11 | (1) |
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Determining Displacement Using Positions in One Dimension |
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12 | (1) |
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Getting Displacement in Two Dimensions with Axes |
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12 | (1) |
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Traveling with Average Speed and at Instantaneous Speed |
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13 | (1) |
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Distinguishing between Average Speed and Average Velocity |
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13 | (1) |
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Speeding Up and Down with Acceleration |
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14 | (1) |
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Finding Displacement with Acceleration and Time |
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14 | (1) |
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Finding Displacement with Acceleration and Velocities |
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15 | (1) |
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Finding Acceleration with Displacement and Time |
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15 | (1) |
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Finding Acceleration with Velocities and Displacement |
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16 | (1) |
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Finding Velocities with Acceleration and Displacement |
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16 | (1) |
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Chapter 3 Moving in a Two-Dimensional World |
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The Problems You'll Work On |
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17 | (1) |
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17 | (1) |
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18 | (1) |
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Adding and Subtracting Vectors |
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18 | (1) |
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Adding Vectors and Subtracting Vectors on the Grid |
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18 | (1) |
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Breaking Vectors into Components |
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19 | (1) |
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Reassembling a Vector from Its Components |
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19 | (1) |
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Describing Displacement, Velocity, and Acceleration in Two Dimensions |
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20 | (1) |
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Moving under the Influence of Gravity: Projectile Launched Horizontally |
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21 | (1) |
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Moving under the Influence of Gravity: Projectile Launched at an Angle |
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22 | (1) |
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Chapter 4 Pushing and Pulling: The Forces around You |
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23 | (8) |
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The Problems You'll Work On |
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23 | (1) |
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23 | (1) |
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Resisting Motion with Newton's First Law |
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24 | (1) |
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Forcing a Massive Object to Accelerate |
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24 | (1) |
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Drawing Free-Body Diagrams |
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24 | (1) |
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Adding Forces Together to Obtain the Net Force |
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25 | (1) |
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Moving a Distance with the Net Force |
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26 | (1) |
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Finding the Needed Force to Speed Up |
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26 | (1) |
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Pairing Up Equal and Opposite Forces |
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27 | (1) |
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Overcoming Friction by Pulling Hard |
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27 | (1) |
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Pulling in a Different Direction with Pulleys |
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28 | (1) |
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Balancing the Forces to Find Equilibrium |
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29 | (2) |
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Chapter 5 Slipping and Sliding: Motion and Forces |
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31 | (8) |
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The Problems You'll Work On |
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31 | (1) |
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31 | (1) |
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Finding the Gravity along a Slope |
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32 | (1) |
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Moving Fast with Gravity down a Slippery Slope |
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32 | (1) |
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Getting Unstuck with the Coefficient of Friction |
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33 | (1) |
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Starting Motion with Static Friction |
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33 | (1) |
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Keeping on Moving with Kinetic Friction |
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34 | (1) |
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Pushing and Pulling on a Non-Slippery Slope |
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34 | (1) |
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Covering the Distance on a Non-Slippery Slope |
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35 | (1) |
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Shooting Objects Straight Up to the Maximum Height |
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36 | (1) |
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Taking the Time to Go Up and Down |
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36 | (1) |
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Shooting at an Angle: Separating the Motion in Components |
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37 | (1) |
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Reaching Far with a Projectile |
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38 | (1) |
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Chapter 6 Describing Rotational Motion |
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39 | (6) |
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The Problems You'll Work On |
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39 | (1) |
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39 | (1) |
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Keeping a Constant Speed around a Circle |
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40 | (1) |
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Measuring Angles in Radians |
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40 | (1) |
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Traveling in a Circle with Angular Velocity |
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40 | (1) |
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Speeding Up and Down around a Circle with Angular Acceleration |
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41 | (1) |
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Accelerating toward the Center with Centripetal Acceleration |
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42 | (1) |
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Providing the Centripetal Force Based on Mass, Velocity, and Radius |
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42 | (3) |
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Chapter 7 Rotating Around in Different Loops |
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45 | (6) |
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The Problems You'll Work On |
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45 | (1) |
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45 | (1) |
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Turning on a Flat Road with a Little Help from Friction |
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46 | (1) |
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Making a Banked Turn in Debt to Normal Force |
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46 | (1) |
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Applying the Law of Universal Gravitation to the Stars |
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47 | (1) |
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Accelerating with Gravity Near a Planet's Surface |
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48 | (1) |
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Finding the Speed of the Satellites in Circular Orbits |
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48 | (1) |
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Taking the Time to Travel around Celestial Bodies |
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49 | (1) |
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Moving Fast to Avoid Falling Off in a Vertical Loop |
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50 | (1) |
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Chapter 8 Going with the Flow: Fluids |
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51 | (6) |
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The Problems You'll Work On |
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51 | (1) |
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51 | (1) |
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Getting Denser with More Mass Packed Together |
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52 | (1) |
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Comparing Densities Using Specific Gravity |
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52 | (1) |
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Applying Pressure with a Force |
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52 | (1) |
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Working under Pressure: Calculating the Pressure at a Depth |
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52 | (1) |
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Passing on Pressure with Pascal's Principle |
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53 | (1) |
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Floating with Archimedes' Principle |
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53 | (1) |
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Distinguishing Different Types of Flow |
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54 | (1) |
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Flowing Faster with a Smaller Pipe |
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54 | (1) |
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Relating Pressure and Speed with Bernoulli's Equation |
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55 | (1) |
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Putting It All Together with Pipes |
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55 | (2) |
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Chapter 9 Getting Some Work Done |
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57 | (8) |
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The Problems You'll Work On |
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57 | (1) |
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57 | (1) |
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Applying Force in the Direction of Movement |
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58 | (1) |
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Applying Force at an Angle |
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58 | (1) |
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Applying Force in the Opposite Direction of Motion |
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59 | (1) |
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Finding the Kinetic Energy of a Moving Object |
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59 | (1) |
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Turning Work into Kinetic Energy |
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60 | (1) |
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Banking on Potential Energy by Working against Gravity |
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61 | (1) |
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Cashing Out Potential Energy to Kinetic Energy |
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62 | (1) |
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Maintaining the Total Mechanical Energy |
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62 | (1) |
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Gaining Power by Doing More Work Faster |
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63 | (1) |
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64 | (1) |
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Chapter 10 Picking Up Some Momentum with Impulse |
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65 | (8) |
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The Problems You'll Work On |
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65 | (1) |
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65 | (1) |
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Applying Force for a Period of Time: Impulse |
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66 | (1) |
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Gathering Momentum in All Directions |
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66 | (1) |
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Supplying Impulse to Change Momentum |
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67 | (1) |
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Finding Force from Impulse and Momentum |
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67 | (1) |
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Conserving Momentum during Collisions |
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67 | (1) |
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Sticking Together: Finding the Velocity in Inelastic Collisions |
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68 | (1) |
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Finding the Initial Velocity of Collisions |
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69 | (1) |
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Colliding Elastically along a Line |
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70 | (1) |
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Colliding Pool Balls: Elastic Collisions in Two Dimensions |
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71 | (2) |
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Chapter 11 Rolling Around with Rotational Kinetics and Dynamics |
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73 | (14) |
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The Problems You'll Work On |
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73 | (1) |
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73 | (1) |
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Linking Linear and Tangential Motion with Radius |
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74 | (1) |
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Finding Centtipetal Acceleration |
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74 | (1) |
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Figuring Out Angular Velocity and Acceleration |
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74 | (1) |
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Twisting Around with Torque |
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75 | (1) |
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Lifting Some Weights: An Exercise in Rotational Equilibrium |
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76 | (1) |
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Hanging Signs up and Keeping the Torques Balanced |
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76 | (2) |
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Leaning against the Wall with Help from Friction |
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78 | (1) |
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Converting Tangential Acceleration to Angular Acceleration in Newton's Second Law |
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79 | (1) |
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Looking into Mass Distribution to Find Moments of Inertia |
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80 | (1) |
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Relating Torque, Angular Acceleration, and Moments of Inertia |
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80 | (1) |
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81 | (1) |
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Rolling with Rotational Kinetic Energy |
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82 | (1) |
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Finding Rotational Kinetic Energy on a Ramp |
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83 | (1) |
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Conserving Angular Momentum |
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84 | (3) |
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Chapter 12 Bouncing with a Spring: Simple Harmonic Motion |
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87 | (6) |
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The Problems You'll Work On |
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87 | (1) |
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87 | (1) |
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Compressing and Stretching Springs: The Spring's Restoring Force |
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88 | (1) |
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Getting around the Equilibrium |
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88 | (1) |
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Riding the Sine Wave of Simple Harmonic Motion |
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88 | (1) |
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Finding Period and Frequency |
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89 | (1) |
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Linking Position, Velocity, and Acceleration |
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89 | (1) |
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Finding the Period of a Mass on a Spring |
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90 | (1) |
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Taking Energy into Account in Simple Harmonic Motion |
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90 | (1) |
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91 | (2) |
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Chapter 13 Heating Up with Thermodynamics and Heat Transfer |
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93 | (6) |
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The Problems You'll Work On |
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93 | (1) |
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93 | (1) |
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Measuring Temperature in Different Ways |
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94 | (1) |
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Getting to the Coldest Zone |
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94 | (1) |
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Expanding with the Heat: Getting Longer |
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94 | (1) |
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Expanding with the Heat: Taking Up More Space |
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95 | (1) |
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Changing the Temperature with Energy Flow |
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95 | (1) |
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Gaining or Losing Energy to Change into a New Phase |
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96 | (1) |
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Rising with the Hot Fluid in Convection |
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97 | (1) |
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Getting in Touch with Thermal Conduction |
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97 | (1) |
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Working with Thermal Conductivity |
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97 | (1) |
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Radiating with Black Bodies |
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98 | (1) |
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Chapter 14 Living in an Ideal World with the Ideal Gas Law |
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99 | (4) |
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The Problems You'll Work On |
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99 | (1) |
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99 | (1) |
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Finding Number of Molecules in Moles with Avogadro's Number |
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100 | (1) |
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Working with Boyle's Law When Temperature Is Constant |
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100 | (1) |
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Working with Charles's Law When Pressure Is Constant |
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100 | (1) |
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Relating Pressure, Volume, and Temperature with the Ideal Gas Law |
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101 | (1) |
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Calculating the Kinetic Energy of the Ideal Gas Molecules |
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101 | (2) |
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Chapter 15 Experiencing the Laws of Thermodynamics |
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103 | (6) |
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The Problems You'll Work On |
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103 | (1) |
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103 | (1) |
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Conserving Energy Using the First Law: Heat and Work |
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104 | (1) |
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Staying at Constant Pressure in Isobaric Processes |
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104 | (1) |
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Staying at Constant Temperature in Isothermal Processes |
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105 | (1) |
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Staying at Constant Volume in Isochoric Processes |
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105 | (1) |
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Staying at Constant Heat in Adiabatic Processes |
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106 | (1) |
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Putting Heat to Work with Heat Engines |
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106 | (1) |
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Evaluating Efficiency of Heat Engines |
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107 | (1) |
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Going against the Flow with Heat Pumps |
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107 | (2) |
Part 2: The Answers |
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109 | (304) |
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111 | (302) |
Index |
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