Newton's 1st law explains why this is possible. The draughts all have a certain inertia while sitting on the table - they won't move unless they are acted on by a force. The rolling draught provides that force to only one of the draught pieces - the black one in the middle. The only force the other draughts feel is a little friction between the pieces - pulling them out in the same direction as the black draught. If the pieces do not lock together this friction will be low, allowing the black to slide out without much resistance. Any friction that they do feel will be made less effective if the draughts are reasonably heavy (Newton's 2nd law tells us the more massive an object is the less it will move when acted on by a force).
The reason the rolling draught is given some backspin is to prevent it carrying on after the collision and bringing down the whole stack. It is hoped that at collision this 'rolling' draught is brought to a stop, its backspin then carries it away from the stack in a similar way that backspin is used in snooker to position the white cue ball.
Source: NESTA
Date: 12 October 2007
Subject: Physics
Suitability: Adults/Parents Anyone Over 11s Over 14s Over 16s Over 7s Professionals Teachers