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Problem 1. A piano string vibrates with a frequency of 440 Hz. (a) Suppose that after each individual oscillation the string loses 1/10 of

Problem 1. A piano string vibrates with a frequency of 440 Hz. (a) Suppose that after each individual oscillation the string loses 1/10 of its energy (and keeps 9/10). What the fraction of the initial energy remains in the string after one second? (b) What if instead the string loses 1/100 of its energy per oscillation? (c) 1/1000?

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