I found these specs on wiki:
http://en.wikipedia.org/wiki/Apollo_Lunar_Module#Ascent_stage
APS propellant mass: 5,187 lb (2,353 kg)
APS engine: Rocketdyne RS-18
APS thrust: 3,500 lbf (16,000 N)
APS propellants: Aerozine 50 fuel / nitrogen tetroxide oxidizer
APS pressurant: two 6.4 lb (2.9 kg) helium tanks at 3,000 pounds per
square inch (21 MPa)
APS specific impulse: 311 s (3,050 N新/kg)
APS delta-V: 7,280 ft/s (2,220 m/s)
Thrust-to-weight ratio at liftoff: 2.124 (in lunar gravity)
I managed to prove to him that it did have enough power to lift-off
based on the 2.124 thrust-to-weight ratio but couldn't do anything about
his "not enough fuel" theory.
How can I prove that 2353 kg fuel was enough?
--
eddman
Compare the APS delta-V against the delta-V required for low lunar
orbit. Even accounting for gravity losses, it's more than enough.