Galileo found that a ball rolling down one inclined plane would roll how far up another inclined plane?
a) the ball would not roll up the other plane at all
b) to nearly its original height
c) to about one quarter its original height
d) to nearly twice its original height
e) to nearly half its original height

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?