Aparticle oscillates harmonically x = a cos(ωt + φ0), with amplitude 9 m, angular frequency π s −1, and initial phase π 3 radians. every now and then, the particle’s kinetic energy and potential energy happen to be equal to each other (k = u). when does this equality happen for the first time after t = 0?

What is a neurotransmitter involved in mood reward, addiction, and motor behaviors?

What are two different ways you could find the value of a? explain these methods.

Air is to be preheated by hot exhaust gases in a cross-flow heat exchanger before it enters the furnace. air enters the heat exchanger at 95 kpa and 20°c at a rate of 0.6 m^3/s. the combustion gases (cp = 1.10 kj/kg°c) enter at 160°c at a rate of 0.95 kg/s and leave at 95°c. determine the rate of heat transfer to the air and its outlet temperature.