Answer:
The resulting disturbance takes approximately 0.70 seconds to reach the other end.
Explanation:
The velocity of a disturbance on a rope depends on the physical properties of the material and the tension exerted to it, the equation is:
[tex]v=\sqrt{\frac{T}{\mu}} [/tex] (1)
With v the velocity of the disturbance, T the tension of the rope and μ the linear density of the rope. The linear density of the rope is the relation between mass M and length L so we have:
[tex]\frac{M}{L} [/tex] (2)
Using (2) on (1):
[tex]v=\sqrt{\frac{TL}{M}}=\sqrt{\frac{49.2*10.4}{2.31}}\simeq14.9\frac{m}{s} [/tex] (3)
If we assume the velocity of the disturbance is constant, it will take for the resulting disturbance to reach the other ends a time t:
[tex] t=\frac{L}{v}=\frac{10.4}{14.9}\simeq0.70\,s [/tex] (4)
