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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?

User James An
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1 Answer

3 votes

Answer:

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.

User Tdavis
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