Two waves are traveling simultaneously down a long Slinky. They can be represented by the following equations. ₁(x, t) = 0.00460 sin(6.00x - 354t) ₂(x, t) = 0.00460 sin(7.80x-250t) Distances are measured in meters and time in seconds. (a) Write the expression for the resulting wave. (Use the following as necessary: x and t. Do not include units in your answer.) 4 = (b) What are the phase and group velocities (in m/s)? (Enter the magnitudes.) phase velocity group velocity m/s m/s (c) What is Ax (in m) between two adjacent zeros of W? (Enter the magnitude.) m (d) What is AkAx (in rad)?

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Two waves are traveling simultaneously down a long Slinky. They can be represented by the following equations.
₁(x, t)= 0.00460 sin(6.00x - 354t)
₂(x, t) = 0.00460 sin(7.80x-250t)
Distances are measured in meters and time in seconds.
(a) Write the expression for the resulting wave. (Use the following as necessary: x and t. Do not include units in your answer.)
W =
(b) What are the phase and group velocities (in m/s)? (Enter the magnitudes.)
phase velocity
group velocity
m/s
m/s
(c) What is Ax (in m) between two adjacent zeros of W? (Enter the magnitude.)
m
(d) What is AkAx (in rad)?
rad
Transcribed Image Text:Two waves are traveling simultaneously down a long Slinky. They can be represented by the following equations. ₁(x, t)= 0.00460 sin(6.00x - 354t) ₂(x, t) = 0.00460 sin(7.80x-250t) Distances are measured in meters and time in seconds. (a) Write the expression for the resulting wave. (Use the following as necessary: x and t. Do not include units in your answer.) W = (b) What are the phase and group velocities (in m/s)? (Enter the magnitudes.) phase velocity group velocity m/s m/s (c) What is Ax (in m) between two adjacent zeros of W? (Enter the magnitude.) m (d) What is AkAx (in rad)? rad
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