Student built a simple heat engine that could lift masses. If the heat engine takes in 300 J of heat and loses 50 J to the environment, how much height will it lift a 1.5 kg mass?

Engines for propeller-driven aircraft are limited in their maximum rotational speed by the fact that the tip speed of the propeller must not approach the speed of sound in air (mach i). taking 6 ft as a typical diameter for a propeller of a light airplane and 1100 fils as the speed of sound, find the upper limit on the rpm (revolutions per minute) of the propeller shaft.