The Hoyas (7-2, 3-1 Patriot League) led 6-0 at halftime on field goals of 18 and 37 yards by Brett Weiss.
When the teams returned for the third quarter, snow had blanketed the field, hampering the passing game. Kempf scored on a 27-yard run on Georgetown's first drive, then Logan added a 34-yard scamper with 2:37 left for a 19-0 lead.
The Crusaders (4-4, 2-1) finally scored with 1:32 to play on Ryan Taggart's 9-yard run, capping a six-play, 45-yard drive that lasted only 57 seconds.
After the two-point conversion failed, Holy Cross recovered an onside kick. Two plays later, the Hoyas got the ball back on a fumble, one of four the Crusaders lost.
Georgetown's Andrew Schaetzke had six tackles, two sacks and three tackles for loss.
Florida State coach Jimbo Fisher hopes quarterback Sean Maguire is ready to go full speed by the middle of June.
Graduate transfer quarterback Davis Webb has officially joined California, giving the Golden Bears an experienced option to replace No. 1 overall NFL draft pick Jared Goff.
First-year football coach Dino Babers, hired by former Syracuse AD Mark Coyle, is on the committee that will search for Coyle's replacement.
Hugh Freeze has some major holes to fill on offense with the departures of Laremy Tunsil and Laquon Treadwell, but there is Chady Kelly and good depth.
After transferring in from Montana State, Dakota Prukop has a checklist he's working from as he prepares to compete for the Oregon job.
The destination for Week 6 of the Big 12 Ultimate Road Trip is unanimous, as all three conference reporters would head to the Red River Rivalry.