(a) Suppose that a particle of mass m is constrained to move in a one-dimensional space between two infinitely high barriers located A apart. Using the uncertainty principle, find an expression for the zero-point (minimum) energy of the particle.

(b) Using your result from (a), compute the minimum energy of an electron in such a space if A = 10^-10 m and A = 1 cm.

(c) Calculate the minimum energy for a 100 mg bead moving on a thin wire between two stops located 2 cm apart.