1) A string held at a tension of 45 N carries a wave described by the wave function y(x, t) = 0.2 sin(6πx - 48π t) (where lengths are in meters and time is in seconds). a) What is the distance between two adjacent peaks on the wave? b) How fast does one of the wave peaks move to the right? c) What is the velocity of the string at the location of a wave peak?

Principles of Physics: A Calculus-Based Text
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Chapter13: Mechanical Waves
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Problem 10P: A transverse wave on a string is described by the wave function y=0.120sin(8x+4t) where x and y are...
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Please show all the steps and the equation used in each case.

1) A string held at a tension of 45 N carries a wave described by the wave function
y(x, t) = 0.2 sin(6nx - 48nt) (where lengths are in meters and time is in seconds).
a) What is the distance between two adjacent peaks on the wave?
b) How fast does one of the wave peaks move to the right?
c) What is the velocity of the string at the location of a wave peak?
d) What is the linear mass density of the string?
e) How much energy is delivered by this wave in one minute?
Transcribed Image Text:1) A string held at a tension of 45 N carries a wave described by the wave function y(x, t) = 0.2 sin(6nx - 48nt) (where lengths are in meters and time is in seconds). a) What is the distance between two adjacent peaks on the wave? b) How fast does one of the wave peaks move to the right? c) What is the velocity of the string at the location of a wave peak? d) What is the linear mass density of the string? e) How much energy is delivered by this wave in one minute?
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The answer for part C has to be 0 m/s since it is the wave's peak. Could you please check your answer?

Also, could you please answer parts d) and e)

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