Consider a basketball of mass m = 1 kg in a basketball hoop. To simplify, suppose the hoop is a cubic box of volume V = 1 m3.

Consider a basketball of mass m = 1 kg in a basketball hoop. To simplify, suppose the hoop is a cubic box of volume V = 1 m3. Calculate the lowest two energy states using the particle-in-a-box approach. Also, calculate the partition function at T = 300 K. Show whether quantum effects are important or not. (Assume that they are important only if q is smaller than about 10.)