Answer to Question #201502 in Physics for yoo

Question

The tension in a string is provided by hanging an object of mass m=3.00 kg at one end as shown in the figure below. The length of the string is L=2.50 m and its mass is ms= 50.0 g. What is the speed of waves in m/s on the string?

Answer 1

$$v=\sqrt{\dfrac{T}{\mu}}=\sqrt{\dfrac{mgL}{m_s}},$$ $$v=\sqrt{\dfrac{3\ kg\cdot9.8\ \dfrac{m}{s^2}\cdot2.5\ m}{0.05\ kg}}=38.3\ \dfrac{m}{s}.$$