As part of an exercise routine a 50.0kg person climbs a set of stairs. Each step

Question

As part of an exercise routine a 50.0kg person climbs a set of stairs. Each step is 18.0 cm high and there are 50steps in the staircase. Assuming the work done coming down thestaircase is negligible, how many times must this person climb thestaircase in order to work off as much energy as a 1810 Calorie meal? n = ??? times As part of an exercise routine a 50.0kg person climbs a set of stairs. Each step is 18.0 cm high and there are 50steps in the staircase. Assuming the work done coming down thestaircase is negligible, how many times must this person climb thestaircase in order to work off as much energy as a 1810 Calorie meal? n = ??? times

Explanation / Answer

Work = Force*Distance Distance = Number of Steps*Step Height Force = Mass*Gravity (As this is the force actingagainst the person climbing) Work = [Mass*Gravity]*[Number of Steps*Step Height] Work = [50*9.81]*[50*.18] = 4414.5 Joules (Amount of joulesfor one climb) Work = n[50*9.81]*[50*.18] (Amount of joules for nclimbs) 1 Calorie = 4186 Joules (Conversion you will find in mosttextbooks) Work needed to be done = 1810(4186) = 7,576,660 Joules 7,576,660 J = n[50*9.81]*[50*.18] Solving for this we find that n ~ 1716 times.

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