Consider a rigid lattice of distinguishable spin 1/2 atoms in a magnetic field. The spins have two states, with energies -Ho H and +HoH for spins up (t) and down (4), respectively, relative to H. The system is at temperature Т. (a) Determine the canonical partition function z for this system. (b) Determine the total magnetic moment M = µo(N+ – N-) of the system. (c) Determine the entropy of the system.

A 2-stage rocket is fired from rest. Its acceleration data are shown in the graph below. Plot the v-t and s-t graphs describing the motion of the rocket-clearly showing the shape of the curve (or add a note) and values at inflection points. Show any calculations as well. Then find the velocity of the rocket and its elevation after 20 seconds of flight. a (m/s?) 25 18 (s) 15 20

Consider a classical ideal gas of N diatomic heterogeneous molecules at temperature T. The charac- teristic rotational energy parameter is € = 1 and the natural frequency of vibrations is wo. Consider the temperature region where T≫er/kB, but T is of the order of ħwo/kB. Ignore contributions from all other internal modes. Calculate the canonical partition function, the average energy, and the heat capacity at constant volume, Cv.

Plz solve in 30 min I vill definitely upvote and positive rating