- Page 1 and 2: Física I - Sears, Zemansky, Young
- Page 3: 5 1.1: 1mi × ( 5280ft mi) × ( 12
- Page 7 and 8: 8 11 1.28: The moon is about 4× 10
- Page 9 and 10: 1.34: r o o 1.35: A ; A x = ( 12.0
- Page 11 and 12: 1.39: Using components as a check f
- Page 13 and 14: 1.43: a) The magnitude of A r + B r
- Page 15 and 16: 1.48: a) ˆ ˆ ˆ 2 2 2 i + j + k =
- Page 17 and 18: 1.53: Use of the right-hand rule to
- Page 19 and 20: 1.59: a) To three significant figur
- Page 21 and 22: 1.65: Let D r be the fourth force.
- Page 23 and 24: 1.68:a) R = A + B + C x R y = x x x
- Page 25 and 26: 1.70: The third leg must have taken
- Page 27 and 28: −1 200−20 o 1.73: a) Angle of f
- Page 29 and 30: 1.75: Let +x be east and +y be nort
- Page 31 and 32: 1.78: (a) Take the beginning of the
- Page 33 and 34: 1.83: a) Parallelog ram area = 2 ×
- Page 35 and 36: 1.88: a) This is a statement of the
- Page 37 and 38: 1.91: A r and C r are perpendicular
- Page 39 and 40: 1.96: a) b) i) In AU, ii) In AU, ii
- Page 41 and 42: Capítulo 2
- Page 43 and 44: 2.6: The s-waves travel slower, so
- Page 45 and 46: 2.14: (a) The displacement vector i
- Page 47 and 48: 2.18: a) The velocity at t = 0 is a
- Page 49 and 50: 2.20: a) The bumper’s velocity an
- Page 51 and 52: 2.26: a) x 0 < 0, v 0x < 0, a x < 0
- Page 53 and 54: 2.28: a) Interpolating from the gra
- Page 55 and 56:
2.31: a) At t = 3 s the graph is ho
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2.35: a) b) From the graph (Fig. (2
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2.37: a) The car and the motorcycle
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2.43: a) Using the method of Exampl
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2.45: a) v y = v0 y − gt = ( −6
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2.49: a) For a given initial upward
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2.51: a) From Eqs. (2.17) and (2.18
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2.53: a) The change in speed is the
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.0 m 2.56: a) 1.25m s. 25 = 20.0 s
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1 8 m ⎛ 365 d ⎞⎛ ⎞⎛ 2.62:
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2.66: a) The simplest way to do thi
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2 2.69: a) x = 1 2) a t , and with
- Page 79 and 80:
2.71: a) Travelling at 20 m s , Jua
- Page 81 and 82:
2.77: Let t 1 be the fall for the w
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2.82: a) 2.83: a) From Eq. (2.14),
- Page 85 and 86:
2 2.86: a) The helicopter accelerat
- Page 87 and 88:
2.90: a) Suppose that Superman fall
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2 2.93: The velocities are vA = α
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1 2.96: The time spent above y max
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2.98: a) Let the height be h and de
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3.1: a) v (5.3 m) − (1.1m) = 1.4
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3.7: a) b) r ˆ ˆ 2 v = αi − 2
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3.11: Take + y to be upward. Use Ch
- Page 101 and 102:
3.15: a) Solving Eq. (3.17) for v =
- Page 103 and 104:
v y . g 2 9.80 m s 0 16.0 m s 3.18:
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3.22: Substituting for t in terms o
- Page 107 and 108:
3.25: Take + y to be downward. a) U
- Page 109 and 110:
3.34: a) a 2 rad = ( 3 m/s) /(14 m)
- Page 111 and 112:
3.45: a) The a = 0 and a y = −2β
- Page 113 and 114:
3.48: a) The equations of motions a
- Page 115 and 116:
3.52: a) Setting y = −h in Eq. (3
- Page 117 and 118:
3.58: Equation 3.27 relates the ver
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3.60: a) This may be done by a dire
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3.64: Combining equations 3.25, 3.2
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3.66: (a) v x ( runner) = vx (ball)
- Page 125 and 126:
3.69: Take + y to be upward. a) The
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3.73: a) The acceleration is given
- Page 129 and 130:
3.76: a) dv dt = = d dt (1/ 2) vxax
- Page 131 and 132:
3.85: The three relative velocities
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3.90: As in the previous problem, t
- Page 135 and 136:
3.92: The x-position of the plane i
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4.1: a) For the magnitude of the su
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2 4.11: a) During the first 2.00 s,
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4.24: (a) Each crate can be conside
- Page 143 and 144:
4.27: a) b) For the chair, a y = 0
- Page 145 and 146:
4.33: a) The resultant must have no
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2 4.39: a) Both crates moves togeth
- Page 149 and 150:
4.43: a) The engine is pulling four
- Page 151 and 152:
4.48: a) The net force on a point o
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4.51: a) L is the lift force b) ∑
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2 4.54: The velocity as a function
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4.57: In this situation, the x-comp
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5.1: a) The tension in the rope mus
- Page 161 and 162:
5.14: a) In level flight, the thrus
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2L 5.20: Similar to Exercise 5.16,
- Page 165 and 166:
5.28: a) The stopping distance is 2
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5.35: First, determine the accelera
- Page 169 and 170:
5.40: Differentiating Eq. (5.10) wi
- Page 171 and 172:
5.49: a) Setting arad = g in Eq. (5
- Page 173 and 174:
5.56: The tension in the lower chai
- Page 175 and 176:
5.63: (Denote F r by F.) a) The for
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5.67: Consider the forces on the pe
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5.70: It’s interesting to look at
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5.72: The key idea in solving this
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5.77: See Exercise 5.40. a) The max
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5.82: We take the upward direction
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5.85: Denote the magnitude of the a
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5.92: (a) There is a contact force
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5.96: (a) 80 mi h is 35 .7 m s in S
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5.101: a) The rock is released from
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mg mg 5.103: Without buoyancy, kv t
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5.106: (a) To find find the maximum
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5.109: a) For the same rotation rat
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5.116: a) Differentiating twice, a
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5.120: a) There are many ways to do
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5.124: For convenience, take the po
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5.126: In all cases, the tension in
- Page 209 and 210:
6.1: a) ( 2.40 N) (1.5 m) = 3.60 J
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6.10: a) From Eq. (6.6), 1 2 5 ⎛
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6.18: As the example explains, the
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6.27: a) The friction force is µ k
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6.35: a) The static friction force
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6.42: The initial and final kinetic
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6.53: a) In terms of the accelerati
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6.58: The work per unit mass is ( W
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6.66: Let x be the distance past P.
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6.71: The velocity and acceleration
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6.79: In terms of the bumper compre
- Page 231 and 232:
6.85: f = .25 mg soW f = W = −(0.
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6.94: a) The number of cars is the
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(8.00 hp)(746 W/hp) 6.99: a) = 358
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6.101: a) Denote the position of a
- Page 239 and 240:
6.104: From F = m a, Fx = max, Fy =
- Page 241 and 242:
7.1: From Eq. (7.2), mgy = (800 kg)
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7.10: (a) The flea leaves the groun
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2 7.16: U = 1 ky , where y is the v
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1 2 1 2 7.24: From kx = mv , the re
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dU 3 3 7.34: From Eq. (7.15), F =
- Page 251 and 252:
7.39: a) At constant speed, the upw
- Page 253 and 254:
1 2 7.46: a) U − U = mg( h − 2R
- Page 255 and 256:
7.49: a) K 1 + U1 + Wother = K2 + U
- Page 257 and 258:
7.54: To be at equilibrium at the b
- Page 259 and 260:
7.57: The two design conditions are
- Page 261 and 262:
7.62: a) The skier’s kinetic ener
- Page 263 and 264:
1 2 1 2 7.69: With U = 0 , K = 0 K
- Page 265 and 266:
7.74: a) From either energy or forc
- Page 267 and 268:
2 2 2 2 7.78: a) a = d x dt = −ω
- Page 269 and 270:
3 7.83: a) Along this line, x = y ,
- Page 271 and 272:
7.86: a) The slope of the U vs. x c
- Page 273 and 274:
Capítulo 8
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8.7: ∆p ∆t ( 0.0450 kg)( 25.0 m
- Page 277 and 278:
8.14: The impluse imparted to the p
- Page 279 and 280:
8.21: a) Taking v A and v B to be m
- Page 281 and 282:
8.25: m + m )(3.00 m s) = m (4.00 m
- Page 283 and 284:
8.31: Use conservation of the horiz
- Page 285 and 286:
8.37: Let +y be north and +x be sou
- Page 287 and 288:
8.43: a) In Eq. (8.24), let mA = m
- Page 289 and 290:
8.52: It turns out to be more conve
- Page 291 and 292:
8.63: The total momentum must be ze
- Page 293 and 294:
8.69: (This problem involves solvin
- Page 295 and 296:
8.72: a) The stuntman’s speed bef
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8.76: Just after the collision: ∑
- Page 299 and 300:
8.80: a) From the derivation in Sec
- Page 301 and 302:
8.83: a) In terms of the primed coo
- Page 303 and 304:
8.86: (a) For momentum to be conser
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8.90: a) For the x - and y - direct
- Page 307 and 308:
8.96: The trick here is to realize
- Page 309 and 310:
8.98: The two fragments are 3.00 kg
- Page 311 and 312:
8.101: a) If the objects stick toge
- Page 313 and 314:
8.107: a) For t < 0 the rocket is a
- Page 315 and 316:
8.111: a) The tension in the rope a
- Page 317 and 318:
9.1: a) 1.50 m = 0.60 rad = 34.4°
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2 9.10: a) ω = ω + α t = 1.50 ra
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9.18: The following table gives the
- Page 323 and 324:
9.24: From a rad = ω 2 r, 4 which
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vr 5.00 m s 9.33: The angular veloc
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9.40: a) In the expression of Eq. (
- Page 329 and 330:
2π 2 2 9.49: a) ω = T , so Eq. (9
- Page 331 and 332:
9.60: For this case, dm = γ dx. a)
- Page 333 and 334:
dθ 2 2 3 2 9.65: a) ω z = = 2γt
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9.70: a) The angular acceleration w
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9.75: I approximate my body as a ve
- Page 339 and 340:
9.81: a) Consider a small strip of
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9.84: Taking the zero of gravitatio
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9.90: a) In the case that no energy
- Page 345 and 346:
9.94: a) From the parallel-axis the
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9.99: a) Following the hint, the mo
- Page 349 and 350:
Capítulo 10
- Page 351 and 352:
10.6: (a) τ A = (50 N)(sin 60° )(
- Page 353 and 354:
1 2 2 = m 2 8.25 kg 0.0750 m = 0.02
- Page 355 and 356:
10.23: n = mg cos α mg sin θ −
- Page 357 and 358:
10.26: a) The angular speed of the
- Page 359 and 360:
10.32: I = mL 1 2 1 2 2 = ( 117 kg)
- Page 361 and 362:
10.40: The skater’s initial momen
- Page 363 and 364:
10.46: (a) Conservation of angular
- Page 365 and 366:
2 2π rad 10.51: a) Solving Eq. (10
- Page 367 and 368:
2 2θ 2θ 2θ I 10.57: t = = = . α
- Page 369 and 370:
10.63: The net torque on the pulley
- Page 371 and 372:
2 10.67: For the disk, K = (3 4) Mv
- Page 373 and 374:
10.72: (a) Στ = Iα and a = Rα T
- Page 375 and 376:
10.75: a) Use conservation of energ
- Page 377 and 378:
10.79: a) v = 10K 7m = ( 10)( 0.800
- Page 379 and 380:
10.84: (a) Στ = Iα 1 1 2 mg cos
- Page 381 and 382:
10.90: Angular momentum is conserve
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10.95: a) The initial angular momen
- Page 385 and 386:
10.100: a) The distance from the ce
- Page 387 and 388:
10.102: Denoting the upward forces
- Page 389 and 390:
11.1: Take the origin to be at the
- Page 391 and 392:
11.12: a) b) x = 6 .25 m when FA =
- Page 393 and 394:
11.18: a) Denote the length of the
- Page 395 and 396:
11.30: a) The volume would increase
- Page 397 and 398:
11.43: For the airplane to remain i
- Page 399 and 400:
11.49: The horizontal component of
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11.56: (a) and (b) Lower rod: Στ
- Page 403 and 404:
11.59: a) ∑τ = 0, axis at lower
- Page 405 and 406:
−4 −4 2 11.64: a) ∆w = −σ
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11.68: (a) ΣτElbow = 0 F (3.80 cm
- Page 409 and 410:
11.71: a) Consider the forces on th
- Page 411 and 412:
11.74: a) The center of gravity of
- Page 413 and 414:
11.79: a) Take torques about the po
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11.87: Use subscripts 1 to denote t
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11.93: a) Taking torques about the
- Page 419 and 420:
11.95: Assume that the center of gr