While quarantining, Mr. Johnston picked-up inline skating to fight boredom. One day, Mr. Johnston with a mass of 115 kg was standing in his driveway in his skates (at rest) when out of nowhere his son Emmit who pounsed on his back like a spider monkey. Emmit has a mass of 59 kg and was moving at a velocity of 5.5 m/s. Approximately how fast did Mr. Johnston begin to roll towards the street with Emmit clinging to his back? a
5.5 m/s
b
324.5 kg m/s
c
33 m/s
d
1.9 m/s

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

Consider a system with two masses that are moving away from each other. why will the kinetic energy differ if the frame of reference is a stationary observer or one of the masses?

Patricia is trying to compare the average rainfall of new york to that of arizona. a comparison between these two states for the months of july through september would best be measured in