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Chapter 16: Q. 63 (page 453)
A sinusoidal wave travels along a stretched string. A particle on the string has a maximum speed of 2.0 m/s and a maximum acceleration of 200 m/s2. What are the frequency and amplitude of the wave?
The frequency of the wave is
The amplitude of the wave is,
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A water wave is a shallow-water wave if the water depth d is less than 鈮� l/10. It is shown in hydrodynamics that the speed of a shallow-water wave is v = 1gd, so waves slow down as they move into shallower water. Ocean waves, with wavelengths of typically 100 m, are shallow-water waves when the water depth is less than 鈮� 10 m. Consider a beach where the depth increases linearly with distance from the shore until reaching a depth of 5.0 m at a distance of 100 m. How long does it take a wave to move the last 100 m to the shore? Assume that the waves are so small that they don鈥檛 break before reaching the shore
You have just been pulled over for running a red light, and
the police officer has informed you that the fine will be \(250. In
desperation, you suddenly recall an idea that your physics professor recently discussed in class. In your calmest voice, you tell the officer that the laws of physics prevented you from knowing that the light was red. In fact, as you drove toward it, the light was Doppler shifted to where it appeared green to you. 鈥淥K,鈥� says the officer, 鈥淭hen I鈥檒l ticket you for speeding. The fine is \)1 for every 1 km/h over the posted speed limit of 50 km/h.< How big is your fine? Use 650 nm as the wavelength of red light and 540 nm as the wavelength of green light.
Draw the history graph D(x = 0 m, t) at x = 0 m for the wave shown in FIGURE EX16.5.
Cell phone conversations are transmitted by high-frequency radio waves. Suppose the signal has wavelength 35 cm while traveling through air. What are the (a) frequency and (b) wavelength as the signal travels through 3-mm-thick window glass into your room?
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