(a) how long can you rapidly climb stairs (116/min) on the 166.0 kcal of energy in a 200g apple? (b) how many flights is this if each flight has 16 stairs? show your work on all problems.

a) It will take you 16.94 min to climb the stairs.

b) The numbers of flights are 123 flights.

Explanation:

a) Let the energy consumption while climbing the stairs be 685 W in kcal/min is given by:

rate of energy consumption = (685 W)×[(0.01433kcal/min)/1 W]

                                               = 9.81605 kcal/min

the time it takes to climb the stairs is given by:

t = E/P

 = (166.0 kcal)/(9.8 kcal/min)

 = 16.94 min

Therefore, it will take you 16.94 min to climb the stairs.

b) Given t is the time it takes to climb stairs and N is the number of stairs to climb per min, then the number of stairs is:

n = t×N

  = (16.94)×(116)

  = 1965 stairs

given the number of stairs each flight as N1, then the number of flights is given by:

flights = n/N1

          = (1965)/(16)

          = 123 flights

Therefore, the numbers of flights are 123 flights.