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Answer :
Final answer:
The length of the string, given that transverse waves propagate at 38.6 m/s with a tension of 59.5 N and the string mass is 0.171 kg, is approximately 20.9 meters.
Explanation:
The question is asking us to calculate the length of a string based on given values for wave propagation speed, tension, and mass. We can use the equation for wave speed in a stretched string, v = sqrt(T/μ), where T is tension and μ is mass per unit length. Rearranging for length, we find L = m/μ = m/(T/v2).Substituting the given values, we get: L = 0.171 kg / (59.5 N / (38.6 m/s)2) = 0.171*38.62/59.5 ≈ 20.9 m. So, the string is approximately 20.9 meters long.
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