  We extend previous results showing that the surfaces of Edgeworth-Kuiper Belt
objects are not primordial and have been moderately to heavily reworked by
collisions. Objects smaller than about $r = 2.5$ km have collisional disruption
lifetimes less than 3.5 Gyr in the present-day collisional environment and have
been heavily damaged in their interiors by large collisions. In the 30--50 AU
region, impacts of 1 km radius comets onto individual 100 km radius objects
occur on $7\times10^7$--$4\times10^8$ yr timescales, cratering the surfaces of
the larger objects with $\sim$8--54 craters 6 km in diameter over 3.5 Gyr.
Collision time scales for impacts of 4 meter radius projectiles onto 1 km
radius comets range from 3--5 $ \times 10^7$ yr. The cumulative fraction of the
surface area of 1 and 100 km radius objects cratered by projectiles with radii
larger than 4 m ranges from a few to a few tens percent over 3.5 Gyr. The flux
of EKO projectiles onto Pluto and Charon is also calculated and is found to be
$\sim$3--5 times that of previous estimates. Our impact model is also applied
to Centaur objects in the 5--30 AU region. We find the collisional/cratering
histories of Centaurs are dominated by the time spent in the Edgeworth-Kuiper
Belt rather than the time spent on planet-crossing orbits. Hence, the
predominant surface activity of Centaur objects like Chiron is almost certainly
not impact-induced.
