A motorized machine with a “mutually definite units of energy for forced energy economy” (MDUFEE) gearbox family with a simplified shifting pattern of shifting mechanisms to cause a real gear dependence on mechanical inertia created by the weight of a load and a fast changeable resistant force in response to the movement. Each gearbox includes a sufficient number of gearsets with gear ratios selected from a faltering geometric sequence and arranged to provide a sufficient number of torques and overdrive speeds to the output shaft to satisfactorily operate the machine over a conventional range of machine speeds and at least limit the use of the acceleration system in the motor to reduce the heat and power generated from a the motor to less than 50 percent that used to generate a similar conventional range of machine speeds using a motor with a conventional gear box.