Chapter 12
Serway Problems
12.17.  16.6 km/s
12.19.  (a) 188 GJ
        (b) 103.5 kW
12.20.  0.47 GJ
12.41.  (a) v_relative = sqrt(2G(m_1+m_2)/d)
        (b) K_1 = 1.07 x 10^32 J; K_2 = 2.67 x 10^31 J
12.48.  (a) 0.85 GJ
        (b) 2.7 GJ
Chapter 13
10. f=4.98 Hz
22. (a) (15.24 cm) sin(3.49 s-1 t)
    (b) A=15.24 cm; omega=3.49 s-1; v_max=53.2 cm/s
30. (a) 7.06 N/m  (b) 6.26 rad/s  (c) 5.09 cm above table
40. proof
72. 4.98 taps/second
78. (a) delta=3.343 rad
    (b) f=0.325 Hz
    (c) a_0=0.417 m/s² (+x direction)
    (d) k=40 N/m
    (e) m=9.6 kg
88. (a) zero
    (b) opposite to the displacement
    (c) netF = 16GMmy/L³ for y<<L;
    (d) SHM with omega = 4sqrt(GM/L³)
Chapter 14
4.  z=(3.09 cm)sin((pi/120 cm)x +- pi/2)cos(2pi t-0.866)
 or z=(3.09 cm)cos((pi/120 cm)x)sin(2pi t+0.705)
14. (a) 2pi/3 m
    (b) 1/pi Hz
    (c) 0.4 m
    (d) pi s
    (e) 3 m-1
16. graph
52. (a) 201 Hz
    (b) 182.7 Hz
Chapter 15
16. 262 or 266 Hz
24. (a) 2.37 m
    (b) 6.51 m
    (c) infinity for both
26. for v_sound = 341 m/s (room temperature)
    theta = 11.7° or x = 2.07 m;
    for v_sound = 331 m/s (0° Celsius)
    theta = 11.4° or x = 2.01 m
50. graph
52. (a) 0
    (b) 26.8 m/s
    (c) 18.95 m/s
    (d) 18.95 m/s
55. HINT:  Don't forget 180 degree phase 
    change upon reflection from wall.