University Physics I - Classical Mechanics, 2019

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134 CHAPTER 6. INTERACTIONS, PART 2: FORCES 6.7 Problems Problem 1 (a) Draw a free-body diagram for the skydiver in Problem 4 of Chapter 5. (b) What is the magnitude of the air drag force on the skydiver, after he reaches terminal speed? Problem 2 A book is sent sliding along a table with an initial velocity of 2 m/s. It slides for 1.5m before coming to a stop. What is the coefficient of kinetic friction between the book and the table? Problem 3 You are pulling on a block of mass 4 kg that is attached, via a rope of negligible mass, to another block, of mass 6 kg. The coefficient of kinetic friction between the blocks and the surface on which they are sliding is μ k . You find that when you apply a force of 20 N, the whole thing moves at constant velocity. (a) Draw a free-body diagram for each of the two blocks (b) What is the coefficient of kinetic friction between the blocks and the surface? (c) What is the tension in the rope? Problem 4 A box of mass 2 kg is sitting on top of a sled of mass 5 kg, which is resting on top of a frictionless surface (ice). (a) What is the normal force exerted by the box on the sled? (And by the sled back on the box.) (b) If you pull on the sled with a force of 35 N, how large does the coefficient of static friction, μ s , between the box and the sled have to be, in order for the box to move with the sled? Draw free-body diagrams for the box and for the sled under this assumption (that they move together). (c) Suppose that μ s is less than the value you got in part (b), so the box starts to slide back (relative to the sled). If the coefficient of kinetic friction μ k between the box and the sled is 0.15, what is the acceleration of the sled, and what is the acceleration of the box, while they are sliding relative to each other (so, before the box falls off, and while you are still pulling with a 35-N force)? Draw again the free-body diagrams appropriate to this situation. Problem 5 You stick two objects together, one with a mass of 10 kg and one with a mass of 5 kg, using a glue that is supposed to be able to provide up to 19 N of force before it fails. Suppose you then pull on the10kgblockwithaforceof30N. (a) What is the acceleration of the whole system? (b) What is the force exerted on the 5 kg block, and where does it come from? Does the glue hold? (c) Now suppose you pull on the 5 kg block instead with the same force. Does the glue hold this time?
6.7. PROBLEMS 135 Problem 6 Draw a free-body diagram for a 70-kg person standing in an elevator carrying a 15-kg backpack (do not consider the backpack a part of the person!). (a) if the elevator is not moving, and (b) if the elevator is accelerating downwards at 2 m/s 2 . In each case, what is the magnitude of the normal force exerted on the person by the floor?
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University Physics I: Classical Mec
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ii
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iv CONTENTS 1.6 Problems . . . . .
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vi CONTENTS 5.1 Conservative intera
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viii CONTENTS 7.7 Examples . . . .
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x CONTENTS 10.4 Examples . . . . .
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xii CONTENTS 13.2.1 Temperature and
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xiv CONTENTS they have read. Then,
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Chapter 1 Reference frames, displac
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1.2. POSITION, DISPLACEMENT, VELOCI
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1.3. REFERENCE FRAME CHANGES AND RE
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1.3. REFERENCE FRAME CHANGES AND RE
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1.4. IN SUMMARY 19 with a velocity
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1.5. EXAMPLES 21 1.5 Examples 1.5.1
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1.5. EXAMPLES 23 (twice what it was
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1.5. EXAMPLES 25 Note that I have d
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1.6. PROBLEMS 27 1.6 Problems Probl
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1.6. PROBLEMS 29 Problem 5 You are
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Chapter 2 Acceleration 2.1 The law
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2.1. THE LAW OF INERTIA 33 This is
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2.2. ACCELERATION 35 2.2 Accelerati
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2.2. ACCELERATION 37 called “conc
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2.2. ACCELERATION 39 2.2.2 Motion w
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2.2. ACCELERATION 41 2.2.3 Accelera
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2.3. FREE FALL 43 proportional to t
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2.4. IN SUMMARY 45 4. Changes in ve
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2.5. EXAMPLES 47 which the rocket r
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2.6. PROBLEMS 49 (a) How far did yo
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Chapter 3 Momentum and Inertia 3.1
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3.1. INERTIA 53 reliable, repeatabl
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3.1. INERTIA 55 3.1.2 Inertial mass
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3.2. MOMENTUM 57 the system is p i
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3.3. EXTENDED SYSTEMS AND CENTER OF
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3.4. IN SUMMARY 61 3.3.2 Recoil and
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3.5. EXAMPLES 63 3.5 Examples 3.5.1
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3.5. EXAMPLES 65 3.5.2 Collision in
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3.6. PROBLEMS 67 3.6 Problems Probl
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Chapter 4 Kinetic Energy 4.1 Kineti
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4.1. KINETIC ENERGY 71 v 2i =0,v 1f
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4.1. KINETIC ENERGY 73 special case
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4.1. KINETIC ENERGY 75 This immedia
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4.2. “CONVERTIBLE” AND “TRANS
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4.2. “CONVERTIBLE” AND “TRANS
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4.3. IN SUMMARY 81 7. Besides the c
Page 101 and 102: 4.4. EXAMPLES 83 On the other hand,
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Page 107 and 108: Chapter 5 Interactions and energy 5
Page 109 and 110: 5.1. CONSERVATIVE INTERACTIONS 91 T
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Page 113 and 114: 5.1. CONSERVATIVE INTERACTIONS 95 d
Page 115 and 116: 5.2. DISSIPATION OF ENERGY AND THER
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Page 119 and 120: 5.5. IN SUMMARY 101 gravitational p
Page 121 and 122: 5.6. EXAMPLES 103 5.6 Examples 5.6.
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Page 125 and 126: 5.7. ADVANCED TOPICS 107 where the
Page 127 and 128: 5.8. PROBLEMS 109 5.8 Problems Prob
Page 129 and 130: 5.8. PROBLEMS 111 here? Explain. (f
Page 131 and 132: Chapter 6 Interactions, part 2: For
Page 133 and 134: 6.1. FORCE 115 however, somewhat mo
Page 135 and 136: 6.2. FORCES AND POTENTIAL ENERGY 11
Page 137 and 138: 6.2. FORCES AND POTENTIAL ENERGY 11
Page 139 and 140: 6.3. FORCES NOT DERIVED FROM A POTE
Page 145 and 146: 6.5. IN SUMMARY 127 F s,1 n a F s,1
Page 149 and 150: 6.6. EXAMPLES 131 pushes on the bra
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Page 157 and 158: 7.2. WORK ON A SINGLE PARTICLE 139
Page 159 and 160: 7.3. THE “CENTER OF MASS WORK”
Page 161 and 162: 7.4. WORK DONE ON A SYSTEM BY ALL T
Page 169 and 170: 7.6. IN SUMMARY 151 which is equal
Page 173 and 174: 7.7. EXAMPLES 155 To plot all this
Page 175 and 176: 7.7. EXAMPLES 157 (a) The external
Page 177 and 178: 7.8. PROBLEMS 159 Problem 5 A block
Page 179 and 180: Chapter 8 Motion in two dimensions
Page 181 and 182: 8.1. DEALING WITH FORCES IN TWO DIM
Page 183 and 184: 8.2. PROJECTILE MOTION 165 The over
Page 185 and 186: 8.3. INCLINED PLANES 167 8.3 Inclin
Page 187 and 188: 8.4. MOTION ON A CIRCLE (OR PART OF
Page 193 and 194: 8.5. IN SUMMARY 175 As we shall see
Page 195 and 196: 8.6. EXAMPLES 177 8.6 Examples You
Page 197 and 198: 8.7. ADVANCED TOPICS 179 8.7 Advanc
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Page 201 and 202: 8.7. ADVANCED TOPICS 183 Note that
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8.7. ADVANCED TOPICS 185 The cyan a
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8.8. PROBLEMS 187 (b) What is the w
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8.8. PROBLEMS 189 (e) The power is
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Chapter 9 Rotational dynamics Rotat
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9.2. ANGULAR MOMENTUM 193 9.2 Angul
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9.2. ANGULAR MOMENTUM 195 thing is
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9.3. THE CROSS PRODUCT AND ROTATION
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9.3. THE CROSS PRODUCT AND ROTATION
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9.4. TORQUE 201 momentum involves t
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9.4. TORQUE 203 wrenches). It is al
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9.5. STATICS 205 important in engin
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9.6. ROLLING MOTION 207 9.6 Rolling
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9.6. ROLLING MOTION 209 contact wit
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9.7. IN SUMMARY 211 (Note how I hav
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9.8. EXAMPLES 213 9.8 Examples This
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9.8. EXAMPLES 215 Solution The figu
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9.9. PROBLEMS 217 9.9 Problems Prob
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9.9. PROBLEMS 219 A 20-kg plank of
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Chapter 10 Gravity 10.1 The inverse
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10.1. THE INVERSE-SQUARE LAW 223 ne
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10.1. THE INVERSE-SQUARE LAW 225 it
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10.1. THE INVERSE-SQUARE LAW 227 in
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10.1. THE INVERSE-SQUARE LAW 229 an
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10.1. THE INVERSE-SQUARE LAW 231 el
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10.1. THE INVERSE-SQUARE LAW 233 10
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10.1. THE INVERSE-SQUARE LAW 235 Fr
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10.2. WEIGHT, ACCELERATION, AND THE
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10.2. WEIGHT, ACCELERATION, AND THE
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10.3. IN SUMMARY 241 shifted and/or
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10.4. EXAMPLES 243 10.4 Examples 10
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10.4. EXAMPLES 245 The diagram of t
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10.5. ADVANCED TOPICS 247 10.5 Adva
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10.6. PROBLEMS 249 10.6 Problems Pr
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10.6. PROBLEMS 251 an orbit around
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Chapter 11 Simple harmonic motion 1
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11.2. SIMPLE HARMONIC MOTION 255 is
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11.2. SIMPLE HARMONIC MOTION 257 Th
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11.2. SIMPLE HARMONIC MOTION 259 If
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11.2. SIMPLE HARMONIC MOTION 261 Th
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11.3. PENDULUMS 263 o θ l F t F G
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11.3. PENDULUMS 265 11.3.2 The “p
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11.4. IN SUMMARY 267 9. A simple pe
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11.5. EXAMPLES 269 (b) The amplitud
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11.5. EXAMPLES 271 AsshowninSection
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11.6. ADVANCED TOPICS 273 Figure 11
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11.6. ADVANCED TOPICS 275 the oscil
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11.7. PROBLEMS 277 (that is, with r
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Chapter 12 Waves in one dimension 1
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12.1. TRAVELING WAVES 281 Perhaps t
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12.1. TRAVELING WAVES 283 ξ 1 0.5
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12.1. TRAVELING WAVES 285 Comparing
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12.1. TRAVELING WAVES 287 waves, th
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12.2. STANDING WAVES AND RESONANCE
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12.2. STANDING WAVES AND RESONANCE
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12.3. CONCLUSION, AND FURTHER RESOU
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12.5. EXAMPLES 297 However, if you
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12.6. ADVANCED TOPICS 299 12.6 Adva
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12.6. ADVANCED TOPICS 301 In the lo
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Chapter 13 Thermodynamics 13.1 Intr
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13.2. INTRODUCING TEMPERATURE 305 a
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13.2. INTRODUCING TEMPERATURE 307 m
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13.3. HEAT AND THE FIRST LAW 309 th
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13.3. HEAT AND THE FIRST LAW 311 ca
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13.4. THE SECOND LAW AND ENTROPY 31
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13.5. IN SUMMARY 319 13.5 In summar
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13.7. PROBLEMS 323 13.7 Problems Pr
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University Physics I - Classical Mechanics, 2019

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