Assume that your maximum metabolic rate (the maximum rate at which your body uses its chemical energy) is 1500 W (about 2.7 hp). Assuming a 40 percent efficiency for the conversion of chemical energy into mechanical energy, estimate the following:
(a) The shortest time you could run up four flights of stairs if each flight is 3.5 m high
(b) the shortest time you could climb the Empire State Building (102 stories high) using your Part (a) result. Comment on the feasibility of you actually achieving your Part (b) result.