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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.

Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter17: Traveling Waves
Section: Chapter Questions
Problem 12PQ: The equation of a harmonic wave propagating along a stretched string is represented by y(x, t) = 4.0...
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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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