Cindy gets angry at Ronit and ties her to a chair facing a 10 W speaker that is

Question

Cindy gets angry at Ronit and ties her to a chair facing a 10 W speaker that is blasting Miley Cyrus 15 m away. The speaker is also attached to a spring that has spring constant of 1,000 N/m, and to make the music that much more irritating Cindy hits the speaker to have it oscillate back and forth. To keep her sanity Ronit does physics problems in her head. She notices that the loudest the songs get is 105 dB, and that Miley Cyrus' annoying 400 Hz scream at most becomes an annoying 503.9 Hz scream. What is the mass of the speaker?

Explanation / Answer

apply the formula for frequency f = (1/2pi) (sqrt(k/m)

f = (1/(2 *3.14) * ( sqrt(1000/m)

sqrt(K/m) = 2*3.14 * ( 503.9-400)

sqrt(K/m) = 652.4

1000/m = 4.25 e 5

m = 1000/4.25 e5

m = 2.348 gms

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