A 6.00-m long rope is under a tension of 600 N. Waves travel along this rope at 40.0 m/s. What is the mass of the rope?

Respuesta :

Answer:

2.25 kg

Explanation:

Length, L = 6 m

tension, T = 600 N

velocity, v = 40 m/s

The formula for the velocity is given by

[tex]v=\sqrt{\frac{T}{\mu }}[/tex]

where, μ is mass per unit length

[tex]\mu =\frac{T}{v^{2}}[/tex]

[tex]\mu =\frac{600}{40^{2}}[/tex]

μ = 0.375

m / L = 0.375

m = 0.375 x 6 = 2.25 kg

Thus, the mass of rope is 2.25 Kg.