(a) show that the heat capacity of a one-dimensional array of n coupled linear oscillators is given by cy3nkx (e - 1)2 where x hvlkt, and it is assumed that both longitudinal and transverse waves can propagate along the array. (b) evaluate this expression for cy in the low and high temperature limits.

You have a resistor and a capacitor of unknown values. first, you charge the capacitor and discharge it through the resistor. by monitoring the capacitor voltage on an oscilloscope, you see that the voltage decays to half its initial value in 2.70 miss . you then use the resistor and capacitor to make a low-pass filter. what is the crossover frequency fc?

Awind turbine is rotating counterclockwise at 0.5 rev/s and slows to a stop in 10 s. its blades are 20 m in length. (a) what is the angular acceleration of the turbine? (b) what is the centripetal acceleration of the tip of the blades at t=0s? (c) what is the magnitude and direction of the total linear acceleration of the tip of the blades at t=0s?

The movement of electrons between atoms is called an