In the Biomedical and Physical Sciences building at MSU there are 137 steps from
ID: 2023148 • Letter: I
Question
In the Biomedical and Physical Sciences building at MSU there are 137 steps from the ground floor to the sixth floor. Each step is 16.1 cm tall. It takes 3 minutes and 48 seconds for a person with a mass of 88.9 kg to walk all the way up. How much work did the person do?Answer:
What was the average power performed by the person during the walk?
Answer:
How many food Calories did the person burn during the walk? (Do not enter unit for this part.)
Answer:
Please show all work, and answer in Sig-figures
Thank you !!
Explanation / Answer
1. Work is equal to the force times displacement, but in this case it's also equal to the potential energy the person gained (U = mgh)
W = mgh = (88.9kg)(9.81m/s2)(137 steps)(.161m) = 19,200 J
2. Power is the change in work over time (P=w/t). You just solved for the work and they give you the time, so it's simple plug and chug from here...
P = 19,200 J / 228 s = 84.2 watts
Sorry, I have no idea how to solve for the calories burned o_O