(if you replace that pesky "infinite" with "arbitrarily large", physics really really hates infinite forces)
Who said you (and everything around you), is not currently being accelerated at a million g' in some direction? It is impossible to prove this false.
As a lesser example: When orbiting the Earth in a 400km LEO, you are ...
Climbing in moon gravity is not so easy. The mass of a suit used on the moon was about 180 pounds, the astronaut weight another 180 lb on Earth.
So the weight of a suited astronaut was (180 + 180) / 6 = 60 pounds on the moon. Wearing a very stiff suit with boots not designed for climbing and pressurized gloves climbing would have been very hard.
Using the data supplied in the answer to the question What is the slope of the sides of Aristarchus crater on the Moon? there are significant regions where the angle of the crater wall varies from 40° to 53.6°.
It would be difficult to walk straight up the wall, radially from the bottom to the top. It may be possible to walk along the slope of the wall, ...
f = ma and e = 1/2mv² and e = f·d
and you apply the following constraints
friction losses in wheels and air drag are constant or negligible
force at the wheel hub is constant
Oberth would play a part. Same force applied, same interval of application, same acceleration, would yield a higher Δe because the distance covered during force application would ...