Fall 07 Phys 143l HW 1 Solutions

Fall 07 Phys 143l HW 1 Solutions - P a g e | 1 3 Physics...

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Unformatted text preview: P a g e | 1 3 Physics 143 Fall Term 2007 HOMEWORK 1 Due: September 3 Problem 1: Introduce Yourself By next Monday, please send me an email (schol@phy.duke.edu) introducing yourself, indicating: Your major or planned major (if you know it). Your long term professional interests (if you know them). What physics courses and math courses youve had previously, at Duke or elsewhere. Anything else you would like me to know about you, e.g. how to pronounce your name correctly, activities you are involved in, etc. Problem 2: Wave Review a. A cord has two sections with linear densities of 0.10 kg/m and 0.20 kg/m. An incident wave, given by D = (0.050 m) sin(0.6x 12.0t), where x is in meters and t is in seconds, travels along the lighter cord. What is the wavelength on the lighter section of the cord? What is the tension in the cord? What is the wavelength when the wave travels on the heavier section? A travelling wave has the form: D D sin kx t . Wavelength can be derived from the coefficient of x: k 0.6m 10.5m We know that v T . . 0.10 40N Tension and Frequency of the wave dont change in each section. T v 10.5m . . 7.40m b. Suppose two linear waves of equal amplitude and frequency have a phase difference as they travel in the same medium....
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Fall 07 Phys 143l HW 1 Solutions - P a g e | 1 3 Physics...

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