The cyclist can also freewheel, if the runner stops moving their legs, they come to a stop. Also on a bike, you arent carrying your own weight, your weight is being carried by the machine. Not forgetting that running utilises a larger muscle group.
I have to disagree with most points you make, in order to freewheel the cyclist must have provided the stored energy in the bike to allow it to move, it is not free it as to come from somewhere. You are still carrying your own weight on a bike, be it through your arse bone or your feet, you are also having to provide the energy to move the extra weight of the bike, they don't come with a lifetimes supply of free kinetic energy from the lbs.
Yes the way in which your body supplies the energy as greater impact with running and it is a lot less efficient (greater heat loss) but the actual kinetic energy used will be greater in cycling. Kinetic energy = 1/2 MV[sup]2 [/sup](M = mass, V = velocity)
The bike does come with free potential energy but this is only converted to kinetic energy by the input of the rider or some external force eg. gravity, downhill. Unfortunately in order for gravity to provide 'free' energy the bike as got to be at the top of a hill, in order to get to the top of the hill and freewheel then gravity must be overcome in the first place and the extra energy to do this is =[sub]>[/sub] the 'free' energy on the other side.
It is only due to the inefficiencies of running and the fact that it is a high impact activity over a LONGER PERIOD for the equivalent distance that it is more draining on the body. I will stick to with my own conclusions
a) A marathon is a marathon in terms of energy required to move an equivalent weight an equivalent distance (not taking into account heat losses through friction etc etc)
b) In order to replicate a marathon on a bike (to take stamina heat loss etc in to effect) it will be a distance slightly shorter that the average person can cycle in the time it took the same average person to do the marathon.
c) If you have any sense you are better off cycling than running
edit: just read the article refferred to above which would appear broadly agree with my statement b) ie if the average person takes 4 1/2 hours to complete a marathon then the equivelent is a 41/2 hour bike ride, from the article that would mean cycling at an average of 18 mph
ie a marathon 26 miles, costs a runner 2860 cals in order to burn this number of calories over 4.5 hours a cyclist must burn 635p/h ie approx 18 mph and hence 81 miles on a bike = a marathon in terms of calories (less than I originally thought in my 1st post)
Don't get me wrong, I can cycle 81 miles and on the flat probably do it in 4.5 hours, I can walk 26 miles and not break a sweat, and according to the article both will cost me the same amount of energy and be equal to running the 26 mile at any speed. COULD I RUN A MARATHON could I coco