The coefficient of static friction between a block and a horizontal floor is 0.33, while the coefficient of kinetic friction is 0.11. The mass of the block is 3.7 kg. If a horizontal force is slowly increased until it is barely enough to make the block start moving, what is the net force on the block the instant that it starts to slide?

The net force the "instant"?

at t=0-, net force is zero
at t=0+, net force is mg(.33-.11)

The word instant can have many meanings.