Acknowledgements |
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xvii | |
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Chapter 1 Units and Significant Figures |
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1 | (14) |
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1.1 Introduction: Units Help Tell Us How Much |
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1 | (1) |
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1 | (4) |
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1.3 Power Of 10 Conversions |
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5 | (2) |
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7 | (1) |
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8 | (7) |
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9 | (1) |
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9 | (1) |
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10 | (2) |
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12 | (3) |
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Chapter 2 Motion in a Straight Line |
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15 | (32) |
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2.1 Introduction: Describing Motion In The World |
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15 | (1) |
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15 | (1) |
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2.3 Displacement, Position, And Coordinate Systems |
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16 | (1) |
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2.4 Average And Instantaneous Velocity |
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17 | (1) |
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2.5 Average And Instantaneous Acceleration |
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18 | (1) |
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2.6 Motion On A Line With Constant Acceleration |
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19 | (4) |
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23 | (5) |
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2.8 What If Acceleration Is Not Constant? |
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28 | (1) |
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28 | (19) |
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29 | (1) |
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29 | (1) |
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30 | (2) |
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32 | (8) |
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40 | (7) |
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Chapter 3 Motion In Two And Three Dimensions |
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47 | (48) |
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3.1 Introduction: Three Dimensions Are More Realistic Than One |
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47 | (1) |
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3.2 Dimensions Behave Separately |
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47 | (2) |
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3.3 Vector Math: Components And Magnitude And Direction |
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49 | (4) |
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3.4 Doing Basic Math With Vectors: Adding Vectors, Multiplication By A Scalar |
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53 | (1) |
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3.5 Two-Dimensional Constant Acceleration Problems |
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54 | (3) |
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57 | (7) |
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3.7 Motion In Three Dimensions |
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64 | (1) |
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64 | (31) |
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66 | (1) |
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66 | (3) |
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69 | (3) |
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72 | (5) |
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77 | (18) |
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Chapter 4 Introduction To Forces |
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95 | (12) |
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4.1 Introduction: Forces Cause Motion |
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95 | (1) |
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95 | (4) |
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4.3 Newton's First And Third Laws |
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99 | (1) |
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100 | (7) |
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101 | (1) |
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101 | (6) |
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Chapter 5 Specific Types Of Forces, And Force Problems |
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107 | (62) |
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5.1 Introduction: There Are Different Types Of Forces |
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107 | (1) |
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107 | (2) |
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5.3 What Forces Are On My Object? |
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109 | (1) |
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109 | (3) |
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112 | (3) |
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115 | (3) |
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118 | (2) |
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5.8 Common Force Problems, Type 1: Ramp Problems |
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120 | (5) |
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5.9 Common Force Problems, Type 2: Problems With Elevators |
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125 | (1) |
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5.10 Common Force Problems, Type 3: Problems With A Rope And Pulley |
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126 | (4) |
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5.11 Common Force Problems, Type 4: Combining Force And Kinematics Problems |
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130 | (3) |
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133 | (36) |
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135 | (1) |
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Section 5.4 (Gravity Near Earth) |
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135 | (4) |
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Section 5.5 (Kinetic Friction) |
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139 | (5) |
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Section 5.6 (Static Friction) |
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144 | (4) |
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Section 5.7 (Spring Forces) |
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148 | (2) |
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Section 5.8 (Ramp Problems) |
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150 | (4) |
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Section 5.9 (Problems With Elevators) |
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154 | (2) |
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Section 5.10 (Problems With A Rope And A Pulley) |
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156 | (6) |
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Section 5.11 (Combining Force And Kinematics Problems) |
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162 | (7) |
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Chapter 6 Energy, And Work |
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169 | (38) |
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6.1 Introduction: Motion Has Energy |
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169 | (1) |
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6.2 Work By A Constant Force |
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169 | (2) |
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6.3 Work Done By Springs, Where Force Changes With Position |
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171 | (1) |
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172 | (2) |
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174 | (1) |
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6.6 The Work-Kinetic Energy Theorem |
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175 | (1) |
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176 | (2) |
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178 | (2) |
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6.9 Conservation Of Mechanical Energy |
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180 | (5) |
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185 | |
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6 | (201) |
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186 | (2) |
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188 | (1) |
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Section 6.2 (Work Done By Constant Forces), Section 6.3 (Work Done By Springs) And Section 6.4 (Net Work) |
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188 | (4) |
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Section 6.5 (Kinetic Energy) |
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192 | (1) |
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Section 6.6 (Work-Kinetic Energy Theorem) |
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192 | (3) |
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Section 6.7 (Potential Energy) |
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195 | (1) |
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Section 6.8 (Mechanical Energy) |
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196 | (2) |
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Section 6.9 (Conservation Of Mechanical Energy) |
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198 | (6) |
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204 | (3) |
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Chapter 7 Linear Momentum And Collisions |
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207 | (36) |
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7.1 Introduction: Collisions And Momentum |
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207 | (1) |
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207 | (1) |
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7.3 Linear Momentum Problems Without Collisions |
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208 | (1) |
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7.4 Collisions And Linear Momentum |
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209 | (1) |
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7.5 Collisions, Problem Type 1: Perfectly Inelastic Collisions With One Dimension |
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210 | (1) |
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7.6 Collisions, Problem Type 2: Elastic Collisions With One Dimension |
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211 | (4) |
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7.7 Perfectly Inelastic Collisions With Two Dimensions |
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215 | (4) |
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7.8 How Much Force Happened? |
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219 | (1) |
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7.9 Extra Topic: Center Of Mass And Linear Momentum Conservation |
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220 | (2) |
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222 | (21) |
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224 | (1) |
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Section 7.3 (Linear Momentum Problems Without Collisions) |
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224 | (1) |
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Section 7.5 (Perfectly Inelastic Collisions With One Dimension) |
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225 | (4) |
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Section 7.6 (Elastic Collisions With One Dimension) |
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229 | (4) |
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Section 7.7 (Perfectly Inelastic Collisions With Two Dimensions) |
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233 | (6) |
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Section 7.8 (How Much Force Happened) |
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239 | (1) |
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Section 7.9 (Center Of Mass) |
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240 | (3) |
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Chapter 8 Uniform Circular Motion (Moving In A Circle At Constant Speed) |
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243 | (12) |
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8.1 Introduction: Sometimes Things Move In A Circle |
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243 | (1) |
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8.2 Centripetal And Tangential Directions |
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243 | (1) |
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8.3 Centripetal Acceleration |
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244 | (1) |
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8.4 Net Force In The Centripetal Direction (Also Called Centripetal Force) |
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245 | (3) |
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248 | (7) |
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248 | (1) |
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Section 8.3 (Centripetal Acceleration) |
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248 | (2) |
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Section 8.4 (Net Force In The Centripetal Direction; Also Called Centripetal Force) |
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250 | (5) |
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Chapter 9 Rotation Motion And Forces |
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255 | (36) |
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9.1 Introduction: Rotational Motion Is Like Linear Motion |
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255 | (1) |
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9.2 Units For Angle: Radians And Revolutions |
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255 | (1) |
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9.3 Rotation Equivalents Of Position, Velocity, And Acceleration |
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256 | (1) |
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9.4 Motion With Constant Angular Acceleration |
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257 | (3) |
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9.5 Moment Of Inertia (Rotation Equivalent Of Mass) |
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260 | (2) |
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9.6 Torque (Rotation Equivalent Of Force) |
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262 | (2) |
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9.7 Newton's Second Law (Rotation Equivalent) |
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264 | (3) |
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9.8 Relating Angular Displacement, Angular Velocity, And Angular Acceleration To Linear Displacement, Linear Velocity, And Linear Acceleration |
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267 | (2) |
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9.9 Extra Topic: Torque Is A Vector; Calculating Its Components |
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269 | |
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9 | (282) |
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271 | (2) |
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273 | (1) |
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Section 9.2 (Units For Angle) |
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273 | (3) |
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Section 9.4 (Motion With Constant Angular Acceleration) |
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276 | (2) |
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Section 9.5 (Moment Of Inertia) |
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278 | (2) |
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280 | (2) |
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Section 9.7 (Newton's Second Law) |
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282 | (2) |
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Section 9.8 (Relating Angular Displacement, Angular Velocity, And Angular Acceleration To Linear Displacement, Linear Velocity, And Linear Acceleration) |
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284 | (4) |
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Section 9.9 (Extra Topic: Torque Vector Components) |
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288 | (3) |
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Chapter 10 Rotation: Energy, Momentum, And Rolling |
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291 | (28) |
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10.1 Introduction: Energy And Momentum For Rotation |
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291 | (1) |
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10.2 Rotation And Kinetic Energy |
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291 | (2) |
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10.3 Rolling (Without Slipping) |
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293 | (3) |
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10.4 Rotation Equivalent Of Work |
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296 | (1) |
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10.5 Rotation Equivalent Of Power |
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297 | (1) |
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298 | (2) |
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10.7 Conservation Of Angular Momentum |
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300 | (4) |
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304 | (15) |
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305 | (1) |
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Section 10.2 (Rotation And Kinetic Energy) |
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305 | (2) |
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Section 10.3 (Rolling, Without Slipping) |
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307 | (3) |
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Section 10.4 (Rotation And Work) |
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310 | (1) |
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Section 10.5 (Rotation And Power) |
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311 | (2) |
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Section 10.6 (Angular Momentum) |
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313 | (1) |
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Section 10.7 (Conservation Of Angular Momentum And Rotation Collisions) |
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314 | (5) |
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Chapter 11 Newton's More General Law Of Gravity |
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319 | (22) |
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11.1 Introduction: Gravity Is Different Away From The Ground |
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319 | (1) |
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11.2 Newton's Law Of Gravity |
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319 | (2) |
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11.3 Connecting M·G With Newton's Law Of Gravity |
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321 | (1) |
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11.4 Potential Energy From Gravity Using Newton's Law Of Gravity |
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322 | (2) |
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11.5 Newton's Law Of Gravity With Conservation Of Mechanical Energy |
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324 | (4) |
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11.6 Newton's Law Of Gravity With Circular Motion |
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328 | (2) |
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330 | (11) |
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331 | (1) |
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Section 11.2 (Newton's Law Of Gravity) |
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331 | (1) |
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Section 11.4 (Potential Energy From Gravity Using Newton's Law Of Gravity) |
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332 | (2) |
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Section 11.5 (Newton's Law Of Gravity With Conservation Of Mechanical Energy) |
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334 | (4) |
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Section 11.6 (Newton's Law Of Gravity With Circular Motion) |
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338 | (3) |
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Chapter 12 Simple Harmonic Motion |
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341 | (20) |
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12.1 Introduction: Motion Repeats |
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341 | (1) |
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12.2 Repetitive Motion Quantities, And Simple Harmonic Motion |
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341 | (1) |
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12.3 Position, Velocity And Acceleration |
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342 | (2) |
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12.4 Simple Harmonic Motion And Objects On Springs |
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344 | (3) |
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12.5 Simple Harmonic Motion: Simple Pendulum |
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347 | (1) |
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12.6 Object Connected To A Spring And Mechanical Energy |
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348 | (1) |
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12 | (349) |
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351 | (1) |
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352 | (1) |
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Sections 12.2, 12.3, And 12.4 (Repetitive Motion Quantities; Position, Velocity, And Acceleration; Simple Harmonic Motion And Objects On Springs) |
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352 | (4) |
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Section 12.5 (Simple Pendulum) |
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356 | (1) |
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Section 12.6 (Object Connected To A Spring And Mechanical Energy) |
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357 | (4) |
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361 | (24) |
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13.1 Introduction: Physics Uses Math |
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361 | (1) |
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13.2 Algebra Problems - Solving For A Variable |
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361 | (1) |
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362 | (1) |
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13.4 Solving When Something Is Squared, Part 1 |
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363 | (2) |
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13.5 Solving When Something Is Squared, Part 2 |
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365 | (1) |
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13.6 Two Equations At Once |
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366 | (3) |
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369 | (2) |
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13.8 Circle Geometry Review |
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371 | (1) |
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371 | (14) |
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372 | (1) |
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Section 13.2 (Algebra Problems - Solving for a Variable) |
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372 | (2) |
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Section 13.3 (Exponential Numbers) |
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374 | (1) |
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Section 13.4 (Solving When Something is Squared, Parti) |
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375 | (2) |
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Section 13.5 (Solving When Something Is Squared, Part 2 - Quadratic Formula) |
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377 | (2) |
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Section 13.6 (Two Equations at Once) |
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379 | (3) |
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Section 13.7 (Trigonometry) |
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382 | (3) |
Index |
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385 | |