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Physics / Fundamentals of Physics 10 / Chapter 16 / Problem 33

Fundamentals of Physics | 10th Edition | ISBN: 9781118230725 | Authors: David Halliday; Robert Resnick; Jearl Walker

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Two sinusoidal waves with the same amplitude of 9.00 mm

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QUESTION:

Two sinusoidal waves with the same amplitude of 9.00 mm and the same wavelength travel together along a string that is stretched along an x axis. Their resultant wave is shown twice in Fig. 16-38, as valley A travels in the negative direction of the x axis by distance d # 56.0 cm in 8.0 ms. The tick marks along the axis are separated by 10 cm, and height H is 8.0 mm. Let the equation for one wave be of the form y(x, t) # ym sin(kx ! vt " f1), where f1 # 0 and you must choose the correct sign in front of v. For the equation for the other wave, what are (a) ym, (b) k, (c) v, (d) f2, and (e) the sign in front of v?

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QUESTION:

Two sinusoidal waves with the same amplitude of 9.00 mm and the same wavelength travel together along a string that is stretched along an x axis. Their resultant wave is shown twice in Fig. 16-38, as valley A travels in the negative direction of the x axis by distance d # 56.0 cm in 8.0 ms. The tick marks along the axis are separated by 10 cm, and height H is 8.0 mm. Let the equation for one wave be of the form y(x, t) # ym sin(kx ! vt " f1), where f1 # 0 and you must choose the correct sign in front of v. For the equation for the other wave, what are (a) ym, (b) k, (c) v, (d) f2, and (e) the sign in front of v?

ANSWER:

Problem 33

Two sinusoidal waves with the same amplitude of 9.00 mm and the same wavelength travel together along a string that is stretched along an x axis. Their resultant wave is shown twice in Fig. 16-38, as valley A travels in the negative direction of the x axis by distance d = 56.0 cm in 8.0 ms. The tick marks along the axis are separated by 10cm, and height H is 8.00 mm. Let the equation for one wave be of the form where and you must choose the correct sign in front of $w$ . For the equation for the other wave, what are (a) ym , (b) k, (c) $w$ , (d)and (e) the sign in front of $w$ ?

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