3. To open a soda bottle, a force of 55.0 N is applied to the bottle opener. If the bottle opener

applies a force of 675 N to the cap, what is the mechanical advantage of the bottle opener?

Output Force: 55.0 N

Input Force: 675 N

Mechanical Advantage:

Ared apple is illuminated by a blue light the apple will appear

When a book falls from a shelf to the ground without anyone pushing on it, no work is done on the book. true or false

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