Waves on a string: 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?
A) 1.00 kg
B) 1.25 kg
C) 2.25 kg
D) 2.50 kg
E) 1.12 kg

Question

Quizplus · Accepted Answer

The speed of a wave on a string is given by v = √(T/μ), where T is the tension and μ is the linear mass density of the rope (mass per unit length). Rearranging the equation, we get μ = T/v^2. Plugging in the given values, we get μ = 600 N / (40.0 m/s)^2 = 0.375 kg/m. Therefore, the mass of the rope is the product of its length and linear mass density: m = 6.00 m x 0.375 kg/m = 2.25 kg. So, the correct answer is choice C.

Waves on a String: a 6