Question

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)

Answer 1

Step-by-step explanation:

It is given that,

Length of the string, l = 2 m

Mass of the string,
`m=5\ g=5* 10^(-3)\ kg`

Hanged mass in the string,
`m'=200\ g=0.2\ kg`

1. The tension in the string is given by :

`T=m'g`

`T=0.2* 9.8`

T = 1.96 N

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

`v=\sqrt{(T)/(M)}`

m = M/l

`v=\sqrt{(Tl)/(m)}`

`v=\sqrt{(1.96* 2)/(5* 10^(-3))}`

v = 28 m/s

Hence, this is the required solution.