Two particles move along an x axis. the position of particle 1 is given by x ! 6.00t 2 # 3.00t # 2.00 (in meters and seconds); the acceleration of particle 2 is given by a ! "8.00t (in meters per second squared and seconds) and, at t ! 0, its velocity is 20 m/s. when the velocities of the particles match, what is their velocity?

What is the kinetic energy of a 10-kg bicycle moving at 10 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

Write the correct abbreviation for each metric unit