Change the chapter
Question
Using data from Table 7.5, calculate the daily energy needs of a person who sleeps for 7.00 h, walks for 2.00 h, attends classes for 4.00 h, cycles for 2.00 h, sits relaxed for 3.00 h, and studies for 6.00 h. (Studying consumes energy at the same rate as sitting in class.)

$3800 \textrm{ kcal}$

Note: The power consumption while sitting relaxed is 120 W, not 125 W as shown in the video. This minor discrepancy doesn't change the final answer. The calculator screenshot has been updated.

Solution Video

# OpenStax College Physics Solution, Chapter 7, Problem 49 (Problems & Exercises) (2:06)

Rating

No votes have been submitted yet.

Quiz Mode

Why is this button here? Quiz Mode is a chance to try solving the problem first on your own before viewing the solution. One of the following will probably happen:

1. You get the answer. Congratulations! It feels good! There might still be more to learn, and you might enjoy comparing your problem solving approach to the best practices demonstrated in the solution video.
2. You don't get the answer. This is OK! In fact it's awesome, despite the difficult feelings you might have about it. When you don't get the answer, your mind is ready for learning. Think about how much you really want the solution! Your mind will gobble it up when it sees it. Attempting the problem is like trying to assemble the pieces of a puzzle. If you don't get the answer, the gaps in the puzzle are questions that are ready and searching to be filled. This is an active process, where your mind is turned on - learning will happen!
If you wish to show the answer immediately without having to click "Reveal Answer", you may . Quiz Mode is disabled by default, but you can check the Enable Quiz Mode checkbox when editing your profile to re-enable it any time you want. College Physics Answers cares a lot about academic integrity. Quiz Mode is encouragement to use the solutions in a way that is most beneficial for your learning.

## Calculator Screenshots

Video Transcript
This is College Physics Answers with Shaun Dyhcko. We're going to calculate the total food calories that the student burns in a day and we're going to multiply by the power consumption of each activity multiplied by the time that they spend doing that activity, and then adding all those pairs of power times time terms together. So we have sleeping for seven hours, so that's 83 watts of power consumed during sleeping times seven hours. As a shortcut, I'm not converting the hours into seconds yet. So I'm just going to leave them as watt hours because otherwise I'd have to multiply by 3600 seconds per hour in each of these terms and that would just be annoying to write that down so many times. So I'm going to keep my units as watt hours and then deal with the conversion in this last step here which I'll explain in a second. So we have 83 watts during sleeping multiplied by seven hours, plus 280 watts while walking to school multiplied by two hours, plus the 210 watts while attending class multiplied by four hours in class, plus the 400 watts while cycling times two hours, and then plus 125 watts while sitting relaxed for three hours. Then add to that 210 watts consumed during the six hours of studying. This works out to 4416 watt hours. Now a watt is a joule per second and then we're multiplying that by hours. In order to make these units properly cancel we have to do a conversion. So, we multiply by 3600 seconds per hour and so the hours cancel and the seconds also cancel and we expected these time units to disappear because we're multiplying watts by time and so that works out to energy, so we expect to have joules left over there. Then we want to convert those joules into kilocalories so we multiply by one kilocalorie for every 4.184 times ten to the three joules giving us 3800 kilocalories consumed by the student in a day.

Submitted by robn on Sun, 06/28/2020 - 19:17

Minor discrepancy, but you recorded the value for "sitting relaxed" as 125 when it is 120.

Submitted by ShaunDychko on Thu, 07/02/2020 - 11:07

Hi robn,
Thank you very much for noticing this. I've made a note below the final answer. As you say, the discrepancy is minor, and it doesn't change the answer to two significant figures, but I've updated the calculator screenshots anyway. Table 7.5 mentions "standing relaxed", and I think the word "relaxed" drew my attention to that row.
All the best with your studies,
Shaun