Consider a system of three harmonic oscillators (SHOs), each with possible energies 0, 1ε, 2ε, 3ε, ... If you are given the total energy, then you know that the sum of all the oscillators' energies is equal to the total energy. One way to compute how many microstates there are is to write down how many states there are if the first oscillator has 0, 1, 2, and 3 ϵ energy, then sum them all together.

Electric field of the earth. the earth has a net electric charge that causes a field at points near its surface equal to 150 n> c and directed in toward the center of the earth. (a) what magnitude and sign of charge would a 60-kg human have to acquire to overcome his or her weight by the force exerted by the earth’s electric field? (b) what would be the force of repulsion between two people each with the charge calculated in part (a) and separated by a distance of 100 m? is use of the earth’s electric field a feasible means of flight? why or why not?