Answer :
Final answer:
To calculate the mass of the 1.0 m length of the string, we need to use the formula for the speed of a wave on a string and solve for the linear mass density. Once we have the linear mass density, we can calculate the mass of the string by multiplying it with the length of the string.
Explanation:
To calculate the mass of a 1.0 m length of the string, we need to use the formula for the speed of a wave on a string. The speed of a wave on a string is given by the equation v = √(T/μ), where v is the speed, T is the tension, and μ is the linear mass density of the string.
We can rearrange the equation to solve for the linear mass density: μ = T/v^2. Using the given information, we can substitute T = 26 N and v = 370 Hz in the equation and solve for μ.
Once we have the linear mass density, we can calculate the mass of a 1.0 m length of the string by multiplying the linear mass density by the length of the string.
In this case, the mass of the 1.0 m length of the string is approximately 0.047 kg.
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