Dr. Zohan has been riding his bike to his job and is curious how many ATP his bo
ID: 188544 • Letter: D
Question
Dr. Zohan has been riding his bike to his job and is curious how many ATP his body is breaking apart in order to do the work required to get to his job.
Dr. Zohan rides 7.4 kilometers to his job, has a mass of 77.4 kilograms and has an average acceleration of 2.9 kilometers per second squared.
The molecule ATP is able to do work, measured in kilojoules per mole of ATP broken into ADP. The SI unit for work is a joule. Using the information given we can calculate work and then convert to moles of ATP.
The first step is to take stock of what we are given in the word problem and what we are trying to find. We have mass, distance, and average acceleration. We are trying to find how many ATP are required to power the bike ride to work.
The equation for work, is force times distance and will tell us how many joules Dr. Zohan is using on his bike ride. It also incorporates one of our given variables, distance. However, the distance was reported in kilometers and the SI unit of distance is the meter. It is necessary to convert to meters before using this equation.
The equation for Force is mass times acceleration. This will incorporate our remaining two variables, mass and acceleration. Again, the information given to us was in km·s-2 but the SI unit for acceleration is m·s-2. It is necessary to convert to m·s-2 before substituting into the equation.
By substituting the equation for F into the equation for W, we can figure out how many joules Dr. Zohan is burning on his ride to his job.
In order to use these equations, we are assuming quite a few things. Below are some of the assumptions.
no friction
no mass of the bike
a flat ride with no change in altitude
This equation above will calculate work in joules. The conversion factor for switching between ATP and work is given in kilojoules. The units must match to correctly perform the conversion.
The last step is to convert work, calculated in joules, into moles of ATP being broken required to do the work. If we assume standard temperature and pressure, the breakdown of a mole of ATP releases 29 kilojoules available to do work.
How many moles of ATP is Dr. Zohan breakdown to get to work? Report your answer to one decimal place.
Explanation / Answer
Amount of work done(W) by Dr Zohan = Energy used by him in Joule.
W = Force(F)×Distance(d)
Force = Mass(m)×Acceleration(a)
m=77.4kg
d=7400m
a= 2900m/s^2
F= 77.4×2900 = 224460 N
W= 224460×7400 = 1661004000 J
W = 1661004 kJ
No of moles of ATP used = 1661004 ÷ 29 = 57276.
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