Rob3rt
Man or Moose!
- Location
- Manchester
So prey where have I misused the laws of physics? Do you disagree that the amount of kinetic energy used to run 26 mile is less than it is to cycle?
If someone wants to break the two sports down to make a comparison (which you rightly or wrongly argue can't be done) then you have to start somewhere, so you have to know the energy required and then develop some formula to take into account effort (be that effort from the nature of the exercise, or external variables, wind resistance etc.)
You have applied an equation for a point mass (which can be extended to include a body with a constant centre of gravity which can be used as an equivalent point mass). Ideally a runner and cyclists centre of gravity would remain in the same plane, however in reality it probly doesnt so the equation is a very rudimentry estimation of the kinetic energy. Also the equation for kinetic energy depends on velocity, which has both magnitude and direction. So if you are wishing to apply this formula, you are talking about moving a point mass, a set distance in exactly the same direction at a given speed. Thats not a very good approximation.
Even in a simple estimation, there are quite a few other things that need to be considered. Its just not worth the time, because even if you could perfect the science, it wouldnt explain the "difficulty" of each activity.