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Chapter 16: Q. 61 (page 453)
A string that is under 50.0 N of tension has linear density
5.0 g/m. A sinusoidal wave with amplitude 3.0 cm and wavelength 2.0 m travels along the string. What is the maximum speed of a particle on the string?
Maximum speed of a particle on the string is,
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A loudspeaker, mounted on a tall pole, is engineered to emit 75% of its sound energy into the forward hemisphere, 25% toward the back. You measure an 85 dB sound intensity level when standing 3.5 m in front of and 2.5 m below the speaker. What is the speaker鈥檚 power output?
FIGURE EX16.8 is a picture at t = 0 s of the particles in a medium as a longitudinal wave is passing through. The equilibrium spacing between the particles is 1.0 cm. Draw the snapshot graph D (x, t = 0 s) of this wave at t = 0 s.
A 25 g string is under 20 N of tension. A pulse travels the length of the string in 50 ms. How long is the string?
Show that the displacement D(x, t) = ln(ax + bt) , where a and b are constants, is a solution to the wave equation. Then find an expression in terms of a and b for the wave speed.
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.
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