  In this note we generalize the quantum uncertainty relation proposed by
Vancea and Santos [7] in the entropic force law, by introducing Planck scale
modifications. The latter is induced by the Generalized Uncertainty Principle.
We show that the proposed uncertainty relation of [7], involving the entropic
force and the square of particle position, gets modified from the consideration
of a minimum measurable length, (which can be the Planck length).
