I have never been bear hunting. Do they eat acorns and black gum berries?
According to the Arkansas Game and Fish Commission...
Bear Feeding Habits
Little food is available after bears emerge from their dens in spring. They lose weight during this period until later in the summer when blackberries, pokeberries and blueberries ripen. During autumn, bears feed heavily on fat-rich acorns and hickory nuts and commonly gain 100 pounds or more during this short time. This extra fat readies them for the rigors of winter denning. Consequently, acorn and other nut crops are vital for bears.
Black bears have large canine teeth typical of meat eaters, but their diet is mostly fruit, berries and nuts, with the majority of their "meat" being insects. When natural foods are scarce (usually in early summer), they may overcome their fear of people and seek food around human inhabitations. If a hungry, roaming bear finds an easy meal of pet food, garbage, or honey, it may hang around long enough to cause serious problems for the property owner or itself.
Source:
AGFC