P2.008 a steel cable is used to support an elevator cage at the bottom of a 1800-ft-deep mineshaft. a uniform normal strain of 200.0 in./in. is produced in the cable by the weight of the cage. at each point, the weight of the cable produces an additional normal strain that is proportional to the length of the cable below the point. assume d = 1800 ft and d = 700 ft. if the total normal strain in the cable at the cable drum (upper end of the cable) is 790 in./in., determine (a) the strain in the cable at a depth of 700 ft. (b) the total elongation of the cable.

Consider the particle-in-a-box problem in 1d. a particle with mass m is confined to move freely between two hard walls situated at x = 0 and x = l. the potential energy function is given as (a) describe the boundary conditions that must be satisfied by the wavefunctions ψ(x) (such as energy eigenfunctions). (b) solve the schr¨odinger’s equation and by using the boundary conditions of part (a) find all energy eigenfunctions, ψn(x), and the corresponding energies, en. (c) what are the allowed values of the quantum number n above? how did you decide on that? (d) what is the de broglie wavelength for the ground state? (e) sketch a plot of the lowest 3 levels’ wavefunctions (ψn(x) vs x). don’t forget to mark the positions of the walls on the graphs. (f) in a transition between the energy levels above, which transition produces the longest wavelength λ for the emitted photon? what is the corresponding wavele

Brutus, the dog, is pulling a bone to the left with a force of 20 n. lassie, another dog, is pulling a bone to the right with a force of 18n. what is the net force? a. b. c.

Apatient has a history of poor nutrition. he has skin rashes, bleeding gums, and a cut that hasn’t healed in a long time. what vitamin deficiency most likely caused this symptom?