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Jason eats a 122 kcal cup of yogurt. A bit later, he climbs up some stairs at a leisurely pace, 20% of the chemical energy from the yogurt is transformed into GPE as Jason climbs the stairs, while the remainder is used by other processes in Jason's body along with heat transfer to the environment. A. How many Joules of energy does the yogurt supply to Jason? B. How much of the chemical energy can be transformed into GPE by climbing the stairs? C. Jason gains GPE at a rate of 125 W. Remember that 1 W-1 J/s. For how many minutes can Jason climb stairs from the energy gained by eating the yogurt? min D. Based on the time found in Part C, do you think it is easy to consume more food calories in one day than you can reasonably expect to work off with an hour of exercise? Think about how many food Calories a person typically consumes in a day. Yes O No

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Answer:

510448 Joules

102089.6 J

13.61194 min

Explanation:

[tex]1\ kcal=4184\ J[/tex]

[tex]122\ cal=122\times 4184=510448\ J[/tex]

The energy in Joules is 510448 Joules.

20% of energy

[tex]0.2\times 510448=102089.6\ J[/tex]

The energy is 102089.6 J

Power is given by

[tex]P=\dfrac{E}{t}\\\Rightarrow t=\dfrac{E}{P}\\\Rightarrow t=\dfrac{102089.6}{125}\\\Rightarrow t=816.7168\ s=\dfrac{816.7168}{60}=13.61194\ min[/tex]

The number of minutes is 13.61194 min

An average person consumes around 2000-2500 kcal

[tex]0.2\times 122=24.4\ kcal[/tex]

This is done in 13.61194 min

In one hour

[tex]\dfrac{24}{13}\times 60=110.76923\ kcal[/tex]

So, it is easy to consume the calories.

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