One single ball at the end of a Newton's cradle is pulled back by a very small angle and released. Every time the ball hits the four other hanging balls, a single ball lifts off the other side with 0.99 of the energy of the incoming ball (as in the first 10 seconds of this video). Each impact also makes a click. If is the time it takes between the first and second clicks, and is the time it takes between the 25th and 26th clicks, what is ?
Details and assumptions