12_InstSolManual_PDF_Part2

12_InstSolManual_PDF_Part2 - (c(d while m stays the same V...

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(e) (f) 12.3. Set Up: Solve: 12.4. Set Up: The time from the highest displacement to lowest displacement is The distance from highest displacement to lowest displacement is 2 A . The distance between wave crests is Solve: (a) (b) (c) The amplitude becomes 0.15 m but the wavelength, period and wave speed are unchanged. 12.5. Set Up: The mass per unit length of the wire is Solve: 12.6. Set Up: Solve: 12.7. Set Up: the weight of the hanging mass. The frequency of the waves is 120 Hz. Solve: (a) (b) (c) Doubling the mass increases both the wave speed and the wavelength by a factor of and Reflect: The speed of the waves on the rope is much less than the speed of sound in air. 12.8. Set Up: The intensity is the rate of energy transfer per unit area and is proportional to the square of the amplitude of the wave. Solve: (a) Intensity is increased by a factor of (b) The amplitude must be increased by a factor of 12.9. Set Up: where m is the mass of the wire. Solve: (a) gives (b) is the same since an identical wire twice as long will have twice the mass.
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Unformatted text preview: (c) (d) while m stays the same; V new 5 " 2 V L S 2 L V new 5 V / " 3 m S 3 m ; V new 5 V m V new 5 " 2 V M S 2 M V 5 Å MgL m 5 Å Mg m F T 5 Mg . v 5 Å F T m 5 Å F T L m , " 9 5 3. 2 2 5 4. l 5 0.192 m. v 5 23.1 m / s " 2 ; l 5 v f 5 16.3 m / s 120 Hz 5 0.136 m v 5 Å F ' m 5 Å 1 1.50 kg 21 9.80 m / s 2 2 0.0550 kg / m 5 16.3 m / s v 5 f l . F ' 5 mg , m 5 0.0550 kg / m. F ' 5 m v 2 5 m 1 f l 2 2 5 0.120 kg 2.50 m 13 40.0 Hz 43 0.750 m 42 2 5 43.2 N v 5 f l . m 5 m / L . v 5 Å F ' m . v 5 Å 1000 N 0.0150 kg / m 5 258 m / s m 5 m L 5 0.0600 kg 4.00 m 5 0.015 kg / m. v 5 Å F ' m . A 5 1 0.62 m 2 / 2 5 0.31 m v 5 6.0 m 5.0 s 5 1.2 m / s. l 5 6.0 m. T 5 2 1 2.5 s 2 5 5.0 s. v 5 f l 5 l / T . l . T / 2. v 5 f l 5 1 0.167 Hz 21 13 km 2 5 2.2 km / s f 5 10.0 cycles / min 5 0.167 cycles / s 5 0.167 Hz. v 5 f l . l 5 c f 5 3.00 3 10 8 m / s 2.45 3 10 9 Hz 5 0.122 m l 5 c f 5 3.00 3 10 8 m / s 1.43 3 10 9 Hz 5 21.0 cm 12-2 Chapter 12...
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