Jeanette is playing in a 9-ball pool tournament. She will win ifshe sinks the 9-ball from the final rack, so she needs to line upher shot precisely. Both the cue ball and the 9-ball have massImage for Jeanette is playing in a 9 - ball pool tournament. She will win ifshe sinks the 9 - ball from the final rack, and the cue ball is hit at an initial speed of v_i. Jeanette carefully hits the cue ball into the9-ball off center, so that when the balls collide, they move awayfrom each other at the same angle theta from the direction in which the cue ball was originallytraveling (see figure). Furthermore, after the collision, the cueball moves away at speed v_f, while the 9-ball moves at speed v_9. View Figure
For the purposes of this problem, assume that the collision isperfectly elastic, neglect friction, and ignore the spinning of theballs. Find the angle theta that the 9-ball travels away from the horizontal.

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

Aparticle initially moving east with a speed of 20.0 m/s, experiences an acceleration of 3.95 m/s, north for a time of 8.00 s. what was the speed of the particle after this acceleration, in units of m/s? give the answer as a positive number.

Awave is produced in a rope. the wave has a speed of 33 m/s and a frequency of 22 hz.