Estimate the power you produce in running up a flight of stairs. give your answer in horsepower (1 hp = 746 w). suppose you climb one flight of stairs (3 m) in 10 seconds (you run up the stairs quickly). estimate your mass to be 71 kg .

The first thing you should do is calculate the work done when climbing the stairs. This work by definition will be given by:
 W = F * d
 W = (m * g) * (d)
 W = ((71) * (9.8)) * (3) = 2087.4J
 Then, you can calculate the power that in this case is given by
 P = W / t
 P = (2087.4) / (10) = 208.74W
 To have the result in HP we use the fact that 1HP = 746W
 P = (208.74) / (746)
 P = 0.28 HP
 answer
 the power you produce in running up a flight of stairs is 0.28 HP

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