(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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Chapter1: Units, Trigonometry. And Vectors
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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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