So, you have 3000 lbs force going into the wing, which in turn generates 10000 lbs force to lift the plane. Where is the extra force coming from?
Depending on the total wing area of the a/c, 3000 lbs X S (total wing area) would always be greater than the weight. It isn't just 3000lbs going into the wing...
Also, KGAI, keep in mind that there are a few different types of drag:
--Skin friction drag, or the drag due to the frictional force of air flowing across the various surfaces of the wings, tail, fuselage, etc.
--Pressure drag, which arrises due to a wake of seperated flow behind the airplane and its various parts. Because this wake is relatively unmoving, it has a lower pressure than the appropriate air in front of the aircraft, causing front to rear drag.
--Induced drag, or drag due to lift, basically. Air from the bottom of the wing flows around the tip to the lower pressure region on top. This essentially "tilts" the lift vector back by pushing the downstream air down, causing it (the lift) to be less efficiently cancelling out weight.
Those are the main three. Other types of drag include Interference drag (from the juncture of two bodies on the aircraft), Cooling drag (associated with engine cooling), and Profile drag (a seperate category for the wing's parasite drag).
Thus, drag doesn't just depend on velocity, as you thought, KGAI. The equation for total drag is:
D=(CDp X q X S) + (CDi X q X S)
where D is total drag, CDp is the coefficient of parasite drag, q is dynamic pressure (1/2 X density X V squared), S is the total wing area, and CDi is the coefficient of induced drag. With that you can see that a number of things affect drag on an airplane, and if you were to formulate accurate figures to plug into the equations for both lift and drag, you would see that lift should be greater...
That scenario seems similar to turbofans having more thrust than turbojets, even when using the same core. ie, it's more efficient to get your thrust by move a lot of air slowly than by moving a little bit of air quickly.
The reason turbojets are less efficient is not drag related -- in the process of accelerating a small amount of air to great KE
, a lot of energy is lost. That's it, I think...
Hope that helps,