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Two children are sending signals along a string of total mass 0.5 kg ties betwee

ID: 1769475 • Letter: T

Question

Two children are sending signals along a string of total mass 0.5 kg ties between to tin cans with a tension of 35 N. It takes the vibrations in the string 0.55 s to go from one child to the other. A) how far apart are the children? One child hums a tone of 500 Hz into her can. What are the wavelengths of the waves traveling in b) the string c) the surrounding air at 20 degrees Celsius Two children are sending signals along a string of total mass 0.5 kg ties between to tin cans with a tension of 35 N. It takes the vibrations in the string 0.55 s to go from one child to the other. A) how far apart are the children? One child hums a tone of 500 Hz into her can. What are the wavelengths of the waves traveling in b) the string c) the surrounding air at 20 degrees Celsius

Explanation / Answer

Since d = l, I replaced l with d in the equation.

d = 0.53sqrt(37l/0.54) ---> d = 0.53sqrt(37d/0.54)
d/sqrt(d) = 0.53sqrt(37/0.54) ---> d/sqrt(d) = 4.387
d/sqrt(d) = d^(1/2) ---> sqrt(d) = 4.387
d = (4.387)^2
d = 19.246

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