The disappearance of collective flow in nucleus-nucleus collisions occ
urs at an incident energy (E(bal)) where the attractive scattering dom
inant at low energies balances the repulsive scattering dominant at hi
gh energies. We have performed the first systematic study of the entra
nce-channel mass dependence of the disappearance of flow and hence E(b
al). The new data presented for the C+C, Ne+Al, Ar+Sc, and Kr+Nb syste
ms show that E(bal) scales as A-1/3 where A is the mass of the combine
d system. Boltzmann-Uehling-Uehlenbeck model calculations show trends
which are in qualitative agreement with these new results.