An explosion breaks a 26.0-kg object into three parts. the object is initially moving at a velocity of 30.0 m/s due west. part (1) has a mass m 1 = 4.90-kg and a velocity of 58.0 m/s due west. part (2) has a mass m 2 = 6.20-kg and a velocity of 72.0 m/s due south. what is the magnitude of the velocity of part (3)?

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.