Learning goal: to learn to apply the law ofconservation of energy to the analysis of harmonic oscillators.

systems in simple harmonic motion, or harmonicoscillators, obey the law of conservation of energy just likeall other systems do. using energy considerations, one can analyzemany aspects of motion of the oscillator. such an analysis can besimplified if one assumes that mechanical energy is not dissipated. in other words,

e=k+u={\rm constant},

where eis the total mechanical energy of the system, k is the kinetic energy, and uis the potential energy.

1. in terms of fuel economy rank the following hybrid and electric vehicles, and justify application specific to each hybrid technology stop/start | mild hybrid | full hybrid | plug-in hybrid | full electric a. rank based on fuel economy b. justify your application specific for each technology

Air enters a gas turbine with two stages of compression and two stages of expansion at 100 kpa and 17°c. this system uses a regenerator as well as reheating and intercooling – the intercooler returns the air to the inlet temperature. the pressure ratio across each compressor is 4 ; 300 kj/kg of heat are added to the air in each combustion chamber; and the regenerator operates perfectly while increasing the temperature of the cold air by 20°c. determine the system’s thermal efficiency. assume isentropic operations for all compressor and the turbine stages and use constant specific heats at room temperature. (0.378)

On average 8 bananas make up one pound. the price is four pounds for 5.00. you must buy 25 bananas. what is your cost?