Your best friend wants to run a 5K with you next year. You are terribly out of shape, so you want to slowly start training to be ready! A 5K is five km, and you have decided to break this distance into smaller amounts that you will use to help you train and meet your goal.

Aparticle of mass m is placed in a one-dimensional box of length l. the box is so small that the particle’s motion is relativistic, so that e p2/2m is not valid. (a) derive an expression for the energy levels of the particle using the relativistic energy–momentum relation and the quantization of momentum that derives from connement. (b) if the particle is an electron in a box of length l 1.00 1012 m, nd its lowest possible kinetic energy. by what percent is the nonrelativistic formula for the energy in error?