(Originais Teachy 2023) - Question Hard of Physics

During a practical physics class, a group of students decides to investigate the effect of different materials on the speed of wave propagation. For this, they use two ropes of the same length (2 meters) and the same tension (50N), but made of different materials: one made of nylon, with a linear density of 0.02 kg/m, and the other made of cotton, with a linear density of 0.03 kg/m. Without the aid of any device or digital application, they generate a pulse at one end of each rope and measure the time it takes for the pulse to reach the other end. Assuming that the wave propagation in both ropes is affected only by the linear density of the material, which of the two ropes, nylon or cotton, will have a longer pulse propagation time? Justify your answer, taking into consideration the fundamental concepts, theories, and principles of wave propagation in ropes.