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(6) Two waves are traveling simultaneously down a slinky. They can be represented as (x,t) =0.003 sin(6.0x - 300t) and 42(x,t) = 0.003 sin(7.0x - 250t). Distances are measured in meters and time in seconds. (a) Write the expression for the total wave, and graph it for t=0. (b) On the same graph, plot the square of this wave for t=0. One way to define Ax would be the full-width at half-maximum of the (broad) peaks of | tot(x,t)². What is Ax for this wave? What is Ak? (c) For t=0, add two more waves, with wave numbers 5.0 and 8.0 to the total wave. Plot the new tot(x,t) and determine the new Ax and Ak.

(6) Two waves are traveling simultaneously down a slinky. They can be represented as (x,t) =0.003 sin(6.0x - 300t) and 42(x,t) = 0.003 sin(7.0x - 250t). Distances are measured in meters and time in seconds. (a) Write the expression for the total wave, and graph it for t=0. (b) On the same graph, plot the square of this wave for t=0. One way to define Ax would be the full-width at half-maximum of the (broad) peaks of | tot(x,t)². What is Ax for this wave? What is Ak? (c) For t=0, add two more waves, with wave numbers 5.0 and 8.0 to the total wave. Plot the new tot(x,t) and determine the new Ax and Ak.

College Physics
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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(6) Two waves are traveling simultaneously down a slinky. They can be represented as (x,t) =0.003 sin(6.0x - 300t) and 42(x,t) = 0.003 sin(7.0x - 250t). Distances are measured in meters and time in seconds. (a) Write the expression for the total wave, and graph it for t=0. (b) On the same graph, plot the square of this wave for t=0. One way to define Ax would be the full-width at half-maximum of the (broad) peaks of | tot(x,t)². What is Ax for this wave? What is Ak? (c) For t=0, add two more waves, with wave numbers 5.0 and 8.0 to the total wave. Plot the new tot(x,t) and determine the new Ax and Ak.
Transcribed Image Text:(6) Two waves are traveling simultaneously down a slinky. They can be represented as (x,t) =0.003 sin(6.0x - 300t) and 42(x,t) = 0.003 sin(7.0x - 250t). Distances are measured in meters and time in seconds. (a) Write the expression for the total wave, and graph it for t=0. (b) On the same graph, plot the square of this wave for t=0. One way to define Ax would be the full-width at half-maximum of the (broad) peaks of | tot(x,t)². What is Ax for this wave? What is Ak? (c) For t=0, add two more waves, with wave numbers 5.0 and 8.0 to the total wave. Plot the new tot(x,t) and determine the new Ax and Ak.
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