Question

Una cuerda horizontal tiene una longitud de 5 m y masa de 0,00145 kg. Si sobre esta cuerda se da un pulso generando una longitud de onda de 0,6 m y una frecuencia de 120 Hz. La tensión a la cual está sometida la cuerda es:

a. 1,5 N

b. 15,0 N

c. 3,1 N

d. 5,2 N

Answer 1

Option (A) is correct.

Step-by-step explanation:

A horizontal rope has a length of 5 m and a mass of 0.00145 kg. If a pulse occurs on this string, generating a wavelength of 0.6 m and a frequency of 120 Hz. The tension to which the string is subjected is

mass of string, m = 0.00145 kg

Frequency, f = 120 Hz

wavelength = 0.6 m

Speed = frequency x wavelength

speed = 120 x 0.6 = 72 m/s

Let the tension is T.

Use the formula

`v =\sqrt(T L)/(m)\\\\72 = \sqrt(T* 5)/(0.00145)\\\\T = 1.5 N`

Option (A) is correct.