Chapter 10, Problem 10.56E

An official baseball has a mass of $145\text{g}$.

(a) Assuming that a baseball in New Orlean’s Superdome (width $=310\text{m}$) is acting as a particle-in-a-box, what is its energy in the $n=1$ state?

(b) Assuming that the energy in part a is all kinetic energy $\left(=\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.m{\text{v}}^2\right)$, what is the velocity of the baseball in the $n=1$ state?

(c) A hit baseball can travel as fast as $44.7\text{m}/\text{s}$. Calculate the classical kinetic energy of the hit baseball and, assuming that this energy is quantized, determine the quantum number of the hit baseball.