(a) Show that Eq. (15.25) can also be written as Pay = 1/2FkwA2, where k is the...

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(a) Show that Eq. (15.25) can also be written as Pay = 1/2FkwA2, where k is the wave number of the wave.
(b) If the tension F in the string is quadrupled while the amplitude A is kept the same, how must k and w each change to keep the average power constant? [Hint: Recall Eq. (15.6).]
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