The stochastic driving force exerted by a single molecular motor (e.g., a k
inesin, or myosin) moving on a periodic molecular track (microtubule, actin
filament, etc.) is discussed from a general viewpoint open to experimental
test. An elementary "barometric" relation for the driving force is introdu
ced that (i) applies to a range of kinetic and stochastic models, (ii) is c
onsistent with more elaborate expressions entailing explicit representation
s of externally applied loads, and (iii) sufficiently close to thermal equi
librium, satisfies an Einstein-type relation in terms of the velocity and d
iffusion coefficient of the (load-free) motor. Even in the simplest two-sta
te models, the velocity-vs.-load plots exhibit a variety of contrasting sha
pes (including nonmonotonic behavior). Previously suggested bounds on the d
riving force are shown to be inapplicable in general by analyzing discrete
jump models with waiting time distributions.