A piece of string 2 meters and has a mass of 5g. On one end of the string hangs a 200 g mass. Find the tension of the string and compute for the velocity of the speed of the wave generated. What is the mass constant in the string? (Answer: T=1.96N; U = 2.5 x10 3kg/m; v = 28 m/s)

Respuesta :

Explanation:

It is given that,

Length of the string, l = 2 m

Mass of the string, [tex]m=5\ g=5\times 10^{-3}\ kg[/tex]

Hanged mass in the string, [tex]m'=200\ g=0.2\ kg[/tex]

1. The tension in the string is given by :

[tex]T=m'g[/tex]

[tex]T=0.2\times 9.8[/tex]

T = 1.96 N

2. Velocity of the transverse wave in the string is given by :

[tex]v=\sqrt{\dfrac{T}{M}}[/tex]

m = M/l

[tex]v=\sqrt{\dfrac{Tl}{m}}[/tex]

[tex]v=\sqrt{\dfrac{1.96\times 2}{5\times 10^{-3}}}[/tex]

v = 28 m/s

Hence, this is the required solution.