Ahydrogen atom, whose normalized stationary state is described by inlm), where n is the main quantunm number and l and m is the quantum numbers belonging to l and lz: nlm) = 1 as usual the following operators is introduced here we neglect spin and fine structure a hydrogen atom is descripted by the normalized wave function: (|210) + |211)) account for the fact that lp) is an energy state, and find the corresponding energy. is lp) an eigenstate for 12 1. 2. find the mean of l in the state lp). account for the fact, that around the standard deviations on the observables lx and ly the following must be the case calculate l+lw) and l_lp). find the expectation value(l.) and(ly〉 in the state 14) 3. 4.

Which simple machine is not part of this compound machine? a. lever b. pulley c. inclined plane d. wheel and axle

Edward tolman explained the results of his study by theorizing that the rats were learning about the maze during every trial but they a. were agitated because other groups were getting reinforcement b. could not remember how to demonstrate it without reinforcement c. were not motivated to demonstrate it without reinforcement d. seemed to be too lazy to actually work without reinforcement

Part f - example: finding two forces (part i) two dimensional dynamics often involves solving for two unknown quantities in two separate equations describing the total force. the block in (figure 1) has a mass m=10kg and is being pulled by a force f on a table with coefficient of static friction îľs=0.3. four forces act on it: the applied force f (directed î¸=30â above the horizontal). the force of gravity fg=mg (directly down, where g=9.8m/s2). the normal force n (directly up). the force of static friction fs (directly left, opposing any potential motion). if we want to find the size of the force necessary to just barely overcome static friction (in which case fs=îľsn), we use the condition that the sum of the forces in both directions must be 0. using some basic trigonometry, we can write this condition out for the forces in both the horizontal and vertical directions, respectively, as: fcosî¸â’îľsn=0 fsinî¸+nâ’mg=0 in order to find the magnitude of force f, we have to solve a system of two equations with both f and the normal force n unknown. use the methods we have learned to find an expression for f in terms of m, g, î¸, and îľs (no n).