Consider a hydrogen atom with the wave function (r, t= 0) = fa[29100(r) – 34: 200 (r) + 2322 (r)] where unem(r) are energy eigenstates. (a) what is the probability of finding the system in the ground state (100)? what is it in the state (200)? and what in the state (322)? what in any other energy eigenstate? (b) determine the expectation value of the energy in this state. (c) determine the expectation value of the operator î" in this state. (d) determine the expectation value of the operator î, in this state. (e) how does the wave function evolve in time? give an expression for 8(r, t). (f) how do the answers to (a) – (d) depend on time?

Match these items. 1. coulombs __force 2. ohms __emf 3. centimeters __resistance 4. newtons __charge 5. volts __length

On a horizontal frictionless surface, a small block with mass 0.200 kg has a collision with a block of mass 0.400 kg. immediately after the collision, the 0.200 kg block is moving at 12.0 m/s in the direction 30° north of east and the 0.400 kg block is moving at 11.2 m/s in the direction 53.1° south of east. use coordinates where the +x-axis is east and the +y-axis is north.(a) what is the total kinetic energy of the two blocks after the collision (in ) what is the x-component of the total momentum of the two blocks after the collision? (indicate the direction with the sign of your ) what is the y-component of the total momentum of the two blocks after the collision? (indicate the direction with the sign of your answer.)

Suppose a force of 60 n is required to stretch and hold a spring 0.1 m from its equilibrium position. a. assuming the spring obeys hooke's law, find the spring constant k. b. how much work is required to compress the spring 0.5 m from its equilibrium position? c. how much work is required to stretch the spring 0.6 m from its equilibrium position? d. how much additional work is required to stretch the spring 0.1 m if it has already been stretched 0.1 m from its equilibrium? a. kequals 600