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 waves on a rope is given by:
v = √(T/μ)
where T is the tension in the rope and μ is the linear density of the rope (mass per unit length).
Rearranging the equation, we get:
μ = T / v^2
Substituting the given values, we get:
μ = 600 N / (40 m/s)^2 = 0.375 kg/m
The mass of the rope is simply its length multiplied by its linear density:
m = 6.00 m x 0.375 kg/m = 2.25 kg

Therefore, the best choice is C.

A 600-M Long Rope Is Under a Tension of 600 N