Question

 (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.

Answer 1

Answer:

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.