I found that a car with its weight concentrated in the back went significantly faster than with it concentrated in the front. That said, friction is still technically the same, however, due to aerodynamic affects causing a slight upwards force near the front of the car (lift) the total apparent weight of the car can be reduced, specifically with respect to the front wheels, thereby reducing total friction and possible lifting the front of the car off of the track. The problem with this is if the front of the car is actually lifted off of the track either a) the car will skip lanes b) it will actually slow down because there is increased drag. The point is to reduce apparent weight by using the lift and thus decreasing friction while still staying on the track.
If the weight is in the front, obviously, there is still the same amount of lift as long as the car is still on the track. However, you will end up with the front wheels being pushed against the track from the weight and the back wheels due to the streamlines (drag)(same concept as throwing a ball with a tail on it and the tail will remain co-linear with the direction of travel because it?s a stable configuration). This case will increase your friction because of the extra force on the back wheels.
As a kid I had no idea what was going on. I remember one year I put all of the weight in the front thinking it would ?drag the car down? faster, it wasn?t until a few years later I learned that gravity didn?t work like that. Thanks to my lovely aero/mech major, I?m actually learning how to quantify all of that stuff?which is kind of making the whole pinewood derby thing a little less fun than it should be.