A block of mass
M slides on a frictionless horizontal track, pushed by a constant horizontal force
F. Spaced every distance
d along the track are stationary small blocks, each of mass
m. Every collision between the moving block (and any debris already stuck to it) and the next small block is perfectly inelastic. After absorbing a very large number of small blocks, the speed of the system just before each collision approaches a limiting value. What is this limit?