1. A snake moves itself along the ground that wiggles up and down sinusoidal at 0.30m producing waves that travel backwards along its body from its head to its tail at 150Hz the waves remain stationary with respect to the ground as it push against the ground with a speed of 8.05m/s at t=0. The snake’s end has a maximum displacement and is instantaneously at rest. Find (a) the angular frequency, period, wavelength and wave number. (b) write the wave function describing the wave. (c) write the equations for the displacement as a function of time at some point 3m.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter13: Mechanical Waves
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1. A snake moves itself along the ground that wiggles up and down sinusoidal at 0.30m producing waves that travel backwards along its body from its head to its tail at 150Hz the waves remain stationary with respect to the ground as it push against the ground with a speed of 8.05m/s at t=0. The snake’s end has a maximum displacement and is instantaneously at rest. Find (a) the angular frequency, period, wavelength and wave number. (b) write the wave function describing the wave. (c) write the equations for the displacement as a function of time at some point 3m.

2. The end of the harp string is fixed on the end (x=0) when you pluck the string it creats a sinusoinal wave interference with an amplitude of .55mm and a frequency of 173Hz at 173m/s (a) solve for the angular frequency and wave number. (b) Write the derivations of the wave interference and its wave function with respect to position and time. (c) Locate at least six nodes.

3. Dolphins are extraordinary intelligent animals that has a special feature of echolocation. A yellow submarine lost its location radar and has been at the ocean floor for 4-days at a speed of 250m/s. A dolphin nearby is moving at a speed of 150m/s and has emitted a sound frequency of 14 000Hz. Find the wavelength and its frequency that sound be released by the yellow submarine in order to be located by the dolphin. Speed of the sound in water 1480m/s.

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