Type of machine. For each example, decide if it changes the size of the force, if it changes the distance the force acts, and if it changes the
direction of a force. Some machines may change the force in more than
one way (these have an *) and will each have 2 answers.

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?