Say you had a crystal lattice box on a micro scale. You can push it with a bigger piston to accelerate it. Say it's lying on a friction-less surface (or this happens in minimal gravity and vacuum).
My question is, would the possible kinetic energy that you can impart on this cube be quantized...
The question I encountered asked at what angle would a ball rolling off a cylindrical incline leave the surface of the incline. This problem i solved. But it got me thinking, how would I describe the motion of that ball in terms of time?
To generalize the problem I started like this. A ball...