Two atoms in a diatomic molecule (masses m1 and m2) interact through a potential energy function of the form u(r) = a 4r 4 − b 3r 3 , where a and b are constants and r is the separation of the atoms. a) find the equilibrium separation of the atoms and the frequency of small oscillations about equilibrium, assuming the molecule does not rotate. how much energy must be supplied to the molecule in equilibrium in order to break it up (that is, so that r → [infinity])?

Ahair dryer is basically a duct in which a few layers of electric resistors are placed. a small fan pulls the air in and forces it through the resistors where it is heated. air enters a 1200 w hair dryer at 100 kpa and 22°c and leaves at 47°c. the cross-sectional area of the hair dryer at the exit is 60 cm2. neglecting the power consumed by the fan and the heat losses through the walls of the hair dryer, determine (a) the volume flow rate of air at the inlet and (b) the velocity of the air at the exit.