Amass weighing 20 pounds stretches a spring 6 inches. the mass is initially released from rest from a point 9 inches below the equilibrium position. (a) find the position x of the mass at the times t = π/12, π/8, π/6, π/4, and 9π/32 s. (use g = 32 ft/s2 for the acceleration due to gravity.)]

An electron is trapped at a defect in a crystal. the defect may be modeled as a one-dimensional, rigid-walled box of width 1.00 nm. (a) sketch the wavefunctions and probability densities for the n 1 and n 2 states. (b) for the n 1 state, nd the probability of nding the electron between x1 0.15 nm and x2 0.35 nm, where x 0 is the left side of the box. (c) repeat (b) for the n 2 state. (d) calculate the energies in electron volts of the n 1 and n 2 states