Answer:
The tension in the string is 98 newtons.
Explanation:
Since a mecanical wave is propagated throughout the material of the string under tension, which is calculated by using the following formula:
[tex]T = v^{2}\cdot \mu[/tex] (1)
Where:
[tex]T[/tex] - Tension in the string, in newtons.
[tex]v[/tex] - Wave speed, in meters per second.
[tex]\mu[/tex] - Linear density, in kilograms per second.
If we know that [tex]v = 140\,\frac{m}{s}[/tex] and [tex]\mu = 5\times 10^{-3}\,\frac{kg}{m}[/tex], then the tension in the string is:
[tex]T = v^{2}\cdot \mu[/tex]
[tex]T = 98\,N[/tex]
The tension in the string is 98 newtons.
