3. Two canoes are 10 m apart on a lake. Each bobs up and down with a period of 8.0 seconds. When one canoe is at its highest point, the other canoe is at its lowest point. Both canoes are always within a single cycle of the waves. Determine the speed of the waves.

3. Two canoes are 10 m apart on a lake. Each bobs up and down with a period of 8.0 seconds. When one canoe is at its highest point, the other canoe is at its lowest point. Both canoes are always within a single cycle of the waves. Determine the speed of the waves.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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1) If you want to know the speed of a long-wavelength wave (e.g. tsunami or tide), you can use the shallow-water wave velocity equation v=gd where g is acceleration due to gravity (~10 m/s2), d is water depth (in meters), and v = speed (in meters per second). a) Calculate the speed of a tsunami (in meters per second), assuming an average ocean depth of 4000m. b) Convert the speed of a tsunami from meters per second to meters per hour (note that 1 hr = 3600 seconds). c) Convert the speed of a tsunami from meters per hour to miles per hour (note that 1 mile = 1600m).
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An ambulance with its siren on is heading east along a straight highway at 65 mph. A car also moves on the same road. In which case will the driver of the car perceive that the frequency of the siren is lower? Select one: a. The car is moving west at 65 mph and is behind the ambulance. b. The car is moving west at 65 mph and is in front of the ambulance. c. The car is moving east at 65 mph and is in front of the ambulance. d. The car is moving east at 65 mph and is behind the ambulance.
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3. A certain mass is supported by a spring such that it is at rest 1 m above the ground. The mass is pulled up 0.5 m and released at t= 0, creating a periodic up and down motion called simple harmonic motion. It takes 1.8 seconds for the mass to return to its original position each time. a) Draw a graph to show the height of the mass above the ground as a function of time for the first 5.4 seconds. b) Write an equation as a cosine function in the form h = ascos +c for your graph in part (a). c) Use your equation to determine all the time(s) in the first 5 seconds where the height of the mass above the ground is 0.5 m. Full algebraic solution.