A slinky with natural length of 3.00 meters, mass of 0.750 kg, and spring constant 18.0 N/m is stretched out along a floor, each end held by a seated person. The final length is 8.2 m. One end is plucked sending a transverse pulse. Find the pulse's travel time there AND back.
I've been stuck on this problem for hours. It is driving me insane. I don't understand how to find the speed if I don't know the amplitude. Is it the natural length of 3 meters? Even then I still get the wrong answer.
The Attempt at a Solution
I've tried finding the solution multiple ways but still don't get the right answer. One method was using k = Ftension/x (8.2 m). Then putting that into v=squared root of F/(mass/length). Then used the velocity = wavelength * frequency to solve for frequency, took the inverse and multiplied by two.
PLEASE HELP! I've been working on this for hours! I'd really appreciate it.