Answer :
Answer:
Mass of the string, m = 37.7 grams
Explanation:
It is given that,
Length of the string, l = 1.7 m
Tension in the string, T = 22 N
Time taken by the string, [tex]t=54\ ms=54\times 10^{-3}\ s[/tex]
The speed in the wave in the string is given by the following formula as :
[tex]v=\sqrt{\dfrac{T}{\mu}}[/tex]
[tex]\mu[/tex] is the mass per unit length, [tex]\mu=\dfrac{m}{l}[/tex]
[tex]v=\sqrt{\dfrac{Tl}{m}}[/tex]
Also, [tex]v=\dfrac{d}{t}[/tex]
[tex]\dfrac{l}{t}=\sqrt{\dfrac{Tl}{m}}[/tex]
[tex]m=\dfrac{Tt^2}{l}[/tex]
[tex]m=\dfrac{22\times (54\times 10^{-3})^2}{1.7}[/tex]
m = 0.0377 kg
or
m = 37.7 grams
So, the mass of the strings is 37.7 grams. Hence, this is the required solution.