Other day I got into a chat with my friend on work power and energy where he asked an intelligence related question the question was like this
if a race was conducted between a man a horse and a car of SAME POWER then who will most probably win the race
and to his question i answered that obviously man could win it because the definition of power states that
power is the fraction of work done in a given time
and as per the definition of work it is described as the dot product of force and displacement
and from newton's second law we get F=ma
the displacement of all the three is same as their end point. so the product of mass and acceleration must be same for all and in this situation a normal man will have less weight than horse and car so it clearly states that acceleration must be of more magnitude for man.
but to my surprise he said my answer is wrong and he did'nt explained how it was wrong
am i really wrong? please guide me if i am wrong in which aspect.