I heard that measuring your oxygen intake (don't know how) would give you a calorie burn answer, because of combustion reactions happening in your body. That's all that we intake on a regular basis (besides water) that could be reacted like that I think.
You might be able to figure it out with some physics stuff. There might be easier ways to do this shit or it might be wrong somewhere I don't know (or the wrong concept). Power is energy output per second according to wiki. Everything is in kilograms, meters, and seconds, so google the conversion.
1 joule= 0.239 calories
Work=force*distance Units is in joules
Power=(force*distance)/time Units are watts (joules/second)
force=mass*acceleration
For mass-
weight=mass*gravity
gravity=9.8
Convert your mass to kgs or find the english version of gravity, I don't know it. Take your
weight divided by gravity.
For acceleration- distance=(1/2)*acceleration*time^2 (^2 is squared, and velocity at 0 seconds was 0 so it dropped out)
acceleration=(2*distance)/time (square root the (2*distance))
If this stuff is right and ledgable it should work with a calculator. It seems to me that both numbers would be higher for running. They might have just been thinking about work in the high school form where lifting a heavy crate will do the same work as pushing it up an inclined ramp if everything works out perfectly.
-- In terms of straight energy (if you were a box with wheels) this may be right, but there must be quite a bit more to it for us living things.