The physical quantity that can be consideredas constant in the motion of any one wave crest.

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Answer 1

Question

Chapter 16, Problem 46AP

(a)

To determine

The physical quantity that can be consideredas constant in the motion of any one wave crest.

(b)

To determine

The reason why the amplitude of the wave increases as the wave approaches shore.

(c)

To determine

The amplitude of the wave at 9.00 m water depth.

(d)

To determine

The reason whythe amplitude at the shore should be expected to be still greater, but cannot be meaningfully predicted by your model.

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An undersea earthquake or a landslide can produce an ocean wave of short duration carrying great energy, called a tsunami. When its wavelength is large compared to the ocean depth d, the speed of a water wave is given approximately by υ = √gd. Assume an earthquake occurs all along a tectonic plate boundary running north to south and produces a straight tsunami wave crest moving everywhere to the west. (a) What physical quantity can you consider to be constant in the motion of any one wave crest? (b) Explain why the amplitude of the wave increases as the wave approaches shore. (c) If the wave has amplitude 1.80 m when its speed is 200 m/s, what will be its amplitude where the water is 9.00 m deep? (d) Explain why the amplitude at the shore should be expected to be still greater, but cannot be meaningfully predicted by your model.

The depth to an unusual layer of rock is to be determined at a particular place by bouncing an artificially generated seismic wave off it and receiving the echo at the surface. When this is done, the depth is given by the equation, h = (1/2) v t, in which h is the depth, v is the average velocity of the seismic wave, and t is the time that it takes for the wave to go down to the rock layer and return to the surface. If t = 0.350 +/- 0.10, and v = 2,000 +/- 10. meters per second, what is the possible error in the depth. (Show your work, and remember to express your results in the correct number of significant figures.)

Seismic waves are used to infer properties of subsurface geological structures, where sound is propagated by small elastic vibrations. Assume a simple model where the elastic medium is stretched between points x = 0 and x=5. At time t= 0, the elastic medium is at rest and the velocity of the elastic medium is kept uniform at 10. The 1-dimensional wave equation is given as follows: a'u = 2 for all 00 (a) Describe the initial and boundary conditions of the wave equation in this scenario. (b) Hence, deduce the displacement function u(x,t) of the elastic medium, subject to the conditions in (a).

Answer 2

Question

Chapter 16, Problem 46AP

(a)

To determine

The physical quantity that can be consideredas constant in the motion of any one wave crest.

(b)

To determine

The reason why the amplitude of the wave increases as the wave approaches shore.

(c)

To determine

The amplitude of the wave at 9.00 m water depth.

(d)

To determine

The reason whythe amplitude at the shore should be expected to be still greater, but cannot be meaningfully predicted by your model.

Expert Solution & Answer

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Answer 3

Question

Chapter 16, Problem 46AP

(a)

To determine

The physical quantity that can be consideredas constant in the motion of any one wave crest.

(b)

To determine

The reason why the amplitude of the wave increases as the wave approaches shore.

(c)

To determine

The amplitude of the wave at 9.00 m water depth.

(d)

To determine

The reason whythe amplitude at the shore should be expected to be still greater, but cannot be meaningfully predicted by your model.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 16, Problem 46AP

(a)

To determine

The physical quantity that can be consideredas constant in the motion of any one wave crest.

(b)

To determine

The reason why the amplitude of the wave increases as the wave approaches shore.

(c)

To determine

The amplitude of the wave at 9.00 m water depth.

(d)

To determine

The reason whythe amplitude at the shore should be expected to be still greater, but cannot be meaningfully predicted by your model.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 16, Problem 46AP

(a)

To determine

The physical quantity that can be consideredas constant in the motion of any one wave crest.

(b)

To determine

The reason why the amplitude of the wave increases as the wave approaches shore.

(c)

To determine

The amplitude of the wave at 9.00 m water depth.

(d)

To determine

The reason whythe amplitude at the shore should be expected to be still greater, but cannot be meaningfully predicted by your model.

Answer 6

Chapter 16, Problem 46AP

(a)

To determine

The physical quantity that can be consideredas constant in the motion of any one wave crest.

Answer 7

Chapter 16, Problem 46AP

(a)

To determine

The physical quantity that can be consideredas constant in the motion of any one wave crest.

Answer 8

(b)

To determine

The reason why the amplitude of the wave increases as the wave approaches shore.

Answer 9

(b)

To determine

The reason why the amplitude of the wave increases as the wave approaches shore.

Answer 10

(c)

To determine

The amplitude of the wave at 9.00 m water depth.

Answer 11

(c)

To determine

The amplitude of the wave at 9.00 m water depth.

Answer 12

(d)

To determine

The reason whythe amplitude at the shore should be expected to be still greater, but cannot be meaningfully predicted by your model.

Answer 13

(d)

To determine

The reason whythe amplitude at the shore should be expected to be still greater, but cannot be meaningfully predicted by your model.

Answer 14

Expert Solution & Answer

Answer 15

Expert Solution & Answer

Answer 16

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Answer 17

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The physical quantity that can be consideredas constant in the motion of any one wave crest.

Solution Summary: The author explains that the physical quantity is phase angle that can be considered as constant in the motion of any one wave crest.

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The physical quantity that can be consideredas constant in the motion of any one wave crest.

The reason why the amplitude of the wave increases as the wave approaches shore.

The amplitude of the wave at 9.00 m water depth.

The reason whythe amplitude at the shore should be expected to be still greater, but cannot be meaningfully predicted by your model.

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