Answer:
As a particle in a one dimensional box moves back and forth between the two walls, the average momentum is zero and thus , the kinetic energy is zero.
Explanation:
Kinetic energy is express as
E(kinetic) = [tex]E_k = \frac{1}{2} mv^2\\Therefore\\E_k = \frac{1}{2} mv^2 * \frac{m}{m} \\E_k = \frac{1}{2} \frac{m^2v^2}{m} \\E_k = \frac{1}{2} \frac{p^2}{m} \\Thus\\E_k = \frac{1}{2} \frac{p^2}{m}[/tex]
As a particle in a one dimensional box moves back and forth between the two walls, the average momentum is zero and thus , the kinetic energy is zero.
