Homework, Physics 131, Summer 2010

For each problem, write down what's given, what's desired. Box your answers. Most problems come from the problem sets at the ends of the chapters. Problem 1.5, for example, is at the end of chapter 1, problem 5 (on page 20).

Please report errors to the instructor!

HW 1: 1.5, G = m³/(kg.s²); 1.7, L = 228.8 cm; 1.23, c = 6.71 x 10⁸ mi/hr; 1.42, x=2.33 m; 1.46, l = 8.60 m; 2.5, A wins, by 2/3 hr. or by 60 km, 0.0 km/hr; 2.13, 2.80 hours, 218 km; 2.24, 0.0 m/s², 1.6 m/s², 0.80 m/s², 0.0 m/s², 1.6 m/s², 0.0 m/s²

HW 2: 2.30, d) 1.3 m/s², e) 8.0 s,; 2.31, 2.32 m/s², 14.4 s; 2.37, 200m; 2.41, 958 m; 2.54, 2.3 s, -33 m/s; 3.17, 157 km from island; 3.21, 4.64 m at 78.6,^o north of east; Exercise 3.9, page 70, 13.1 m/s², 202 m/s; 3.30, 7.23 x 10³ m, 1.68 x 10³ m

HW 3: 3.36, 61 s; Exercise 4.1, 4.20 x 10² N; 4.12, 799 N at 8.77^o to the right of the forward direction, 0.266 m/s²; Exercise 4.4, w_G = (5/32) w_E; 4.17, 600N, 997 N in the inclined cable, 796 N in the horizontal cable; 4.36, 6.53 m/s², 32.7 N; 4.40, 0, 0.70 m/s²; 4.62, 0.814

HW 4: Exercise 5.2, p123, 0.306, 0.270; 5.13, -5.6 x 10² J, 1.2 m; 5.36, 5.94 m/s, 7.67 m/s, 147 J; 5.38, 61.2 m; 5.70, 1.4 m/s; Exercise 5.14, p146, 111 W; 5.59, 24.0 J, -3.00 J, 21.0 J

HW 5: 6.14, 7.50 kg m/s to west, 375 N eastward; Exercise 6.3, 1.91 m/s; Exercise 6.5, 1.04 m/s, 417 m/s; 6.48, 0.655 m/s, 0.537 m/s; 6.50, 41.5 mi/hr, untruthful

HW 6: 7.7, 3.45 rad, factor 4, explain; Exercise 7.4; p 198, 10.5 rad/s; 1.58 rad, 0.467 m/s; 7.12, 5.75 rad/s, 1.29 m/s, 0.563 m/s², 76^o; 7.23, 6.83 m/s², 22.6 m/s; 7.37, 2.50 x 10^-5/ N toward 500 kg, 0.245 m; 7.43, 1.90 x 10²⁷ kg

HW 7: 8.3, +30 N.m counterclockwise, 36 N.m counterclockwise; 8.11, 3.33 ft., 1.67 ft.; 8.22 343 N, 171 N, 683 N, 5.14 m; 8.36, 0.30; 8.42, 1.37 x 10⁸ J, 1.84 x 10⁴ s; 8.60, 1.17 rad/s

HW 8: 9.4, 1.65 x 10⁸ Pa, about 1600 atm., 1.80 x 10⁸ Pa, about 1800 atm.; 9.7, 4.44mm; 9.18 , 1.9 x 10⁴ N; 9.19, 3.4 x 10² m; Exercise 9.8, 1.24 x 10⁴ kg/m³; 9.45, 80 g/s, 0.27 mm/s; 9.46, 11.0 m/s, 2.641 x 10⁴ Pa; 9.86, 1.9 m

HW 9: 13.1, -17 N (to left), -28 m/s² (to left); 13.11, 2.94 x 10³ N/m; 13.17, 0.28 m/s, 0.26 m/s, 0.26 m/s, 0.035 m; 13.31, -11.0 N to the left, 0.881 oscillations; (13.38, gain, 1.1 s each hour; this problem optional in 2010); 13.46, 5.67 x 10^-3m; 13.48, 0.20 Hz, 0.25 Hz; 13.49, 80.0 N

HW 10: 14.5, 516 m; 14.15, 1.00 x 10^-2 W/m², 105 dB; Exercise 14.3, 73.0 dB; 14.27, 0.391 m/s; 14.36, 1.43 m; 14.39, nodes at 0, 2.67 m, 5.33 m, 8.00 m, antinodes at 1.33 m, 4.00 m, 6.67 m, f=18.6 Hz; 14.48, 9.00 x 10³ Hz; 14.49, 58 Hz; 14.56, 29.7 cm

HW 11: 10.12, 1.300 m - 0.49 mm, clock will run fast; 10.27, increases, 1.603 cm; 10.29, 900 K, 1200 K; 10.39, 6.21 x 10^-21 J, Exercise 11.1, 2.6 x 10³ sprints; Exercise 11.2, 68.2 K, 1.5 x 10⁸ Pa; Exercise 11.3, 27.9^oC

HW 12: Exercise 11.6, 1.27 x 10⁵ kg; 11.44, 52 W, 36.5 times greater; 11.49, 16; 12.1, 7.50 x 10⁴ J, -7.50 x 10^-4 J, Newton's 3rd; 12.17, -180 J, +188 J; 12.34, 1.07 x 10⁴ J, 0.533 s; 12.37, 0.294, 500 J, 1.67 x 10³ W