Ametal ball is thrown at a horizontal rod of length 5 m, radius 1 cm and sheer modulus of 5×109 n/m2 . if the ball was moving at 30 m/s when it struck the rod and took 0.5 seconds to reach a maximum bend of 2 cm, what is the mass of the ball?

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

Which of the following bonds would be most polar? a. c-i b. c-br c. c-cl d. c-f e. c-o

Glass has a hardness that is in the middle of the hardness scale. what is the hardness of glass?