Three pieces of string, each of length l, are joined together end to end, to make a combined string of length 3 l. the first piece of string has mass per unit length μ1, the second piece has mass per unit length μ2=4μ1, and the third piece has mass per unit length μ3=μ1/4. (a) if the combined string is under tension f, how much time does it take a transverse wave to travel the entire length 3l? give your answer in terms of l, f, and μ1. (b) does your answer to part (a) depend on the order in which the three pieces are joined together? explain.

chemical energy --> gravitational potential energy --> kinetic energy --> elastic potential energy --> gravitational potential energy

explanation:

when emma starts the hike, the chemical energy stored in her body is used to climb up the mountain, and so she gains gravitational potential energy (because at the end, she will be at a higher height h above the ground). then she goes bungee jumping: as she falls, this gravitational potential energy is converted into kinetic energy (because her speed increases as she falls down), until the point when the rope stretches, and she stops moving. at that moment, all the kinetic energy is converted into elastic potential energy due to the stretching of the rope. then, this energy is released because the rope returns to its natural length, and emma gains a small increase in altitude , so she gains some gravitational potential energy.