1. The problem statement, all variables and given/known data Two traveling transverse waves propagate down two long ropes under the conditions that the linear mass density, tension, and transverse displacement amplitude for the two ropes are the same, but that one rope has twice the length of the other. If the shorter rope has a power P0 being transmitted along its length, then what is the power, P, being transmitted down the longer rope? 1. P = 1/4 P0 2. P = 4 P0 3. P = 1/2 P0 4. P = 2 P0 5. P = P0 2. Relevant equations P = 1/2 uvA2w2 (u = linear mass density, w = angular frequency, v = phase speed) v = sqrt(T/u) (T = tension) v = w/k (k = wavenumber = 2pi/wavelength) 3. The attempt at a solution Given that phase speed is related to tension and linear mass density, I think the values of u, A, and v are the same for both ropes. The only variable remaining is w, and I can't seem to infer what its value might be with the stated information. Trying to find a relation with w and the given information, I realize I also do not know k or wavelength. My understanding of a wave's power is that, with a given medium, w is controlled by the person/oscillator generating the wave. Could it be that it is implied w is the same for both waves, so that P = P0?