The balance energy at which repulsive nucleon-nucleon scattering balances t
he attractive force due to the nuclear mean field is measured for the first
time for the Au+Au reaction. The observed balance energy of 42+/-3(stat)+/
-1(sys) MeV/nucleon agrees with the previously established power law depend
ence of E-bal bn system mass, providing evidence that the Coulomb interacti
on does not suppress the attractive mean field near the balance energy, in
contrast to recent theoretical predictions.