Question

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?

Answer 1

2.25 kg

Step-by-step explanation:

Length, L = 6 m

tension, T = 600 N

velocity, v = 40 m/s

The formula for the velocity is given by

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

where, μ is mass per unit length

`\mu =(T)/(v^(2))`

`\mu =(600)/(40^(2))`

μ = 0.375

m / L = 0.375

m = 0.375 x 6 = 2.25 kg

Thus, the mass of rope is 2.25 Kg.