Ahydrogen atom is placed in a magnetic field of strength b that is pointing in the +z direction. the magnetic dipole moment caused by the electron's spin angular momentum can be approximated by the bohr magneton m5.8 x 10sev/t. the ground state energy of the hydrogen atom in zero magnetic field is given by eo- -13.6ev. 2me (1) find the energy levels of the electron that include energy from both motional and spin degrees of freedom. express your results using e0, b, and b+ (2) assume b 104t. find the lowest four eigenenergies of the electron in unit of ev. are there any degeneracies?

1. consider the case in which air fills air shocks on a truck trailer. the pressure in the shocks is 2 mpa. the temperature is 300 k. the diameter of the shock piston is 10 cm and the initial length of the cylindrical cavity containing the compressed air is 40 cm. a. the truck is gradually loaded over a period of a day in a static setting. the temperature is held constant for the atmosphere and thus for the gas shock. calculate the compressibility of the air in the shock for this condition when the truck is initially being loaded. b. if the shocks were loaded in a dynamic setting by driving over bumps, what would be the compressibility? state your assumption. c. what is the initial load on the shock if the shock is in an atmospheric 100 kpa? d. if the shock is compressed using the process described in part a, and the air shock compressed air cavity length decreases to 20 cm, what is the additional load applied to the shock?

The graph describes the motion of an object. the object moves with from a to b. it from b to c. it moves with from c to d.

Awater balloon launcher uses an elastic band with a spring constant of 115 n/m to use thee launcher you stretch thee band back with a balloon n it the water balloons have a mass of 1.3 kg a) if you stretch the band by 0.8 m, what elastic force will the band exert? b) with the band stretched 0.8 m, how much elastic potential energy is stored in the spring? c) if you release the band, it pushes forward. what is the kinetic energy of the balloon when it reaches the natural length of the band? d) what is the speed of the balloon when it reaches the natural length of the band?