Question

How much metabolic energy is required for a 68kg person to run at a speed of 15km/hr for 15min ?

Answer 1

I know that running at 15km/hr takes 1150W of Metabolic Power but I'm not sure where to go from there.

Answer 2

Because watt is joule per second should it be as simple as the product of metabolic power and the time 15 minutes?

Answer 3

E=W (+Q)
W= FD
e=1/2 mv^2


These are the equations that I think are relevant but I can't seem to "plug and chug" the numbers appropriately.

Answer 4

I don't think so. I know that the answer has to be in kilojoules.

Answer 5

Its all I can help with but the answer will be in kilojoules though

Answer 6

how did you calculate your power

Answer 7

Haha it's alright. I appreciate it. Thanks!

Answer 8

The power was given to be based on a table in my book.

Answer 9

Do you have an answer in the back of the book

Answer 10

Unfortunately not, I already checked haha. It's an even number problem >.<

Answer 11

Why do you think that it wouldn't be power times time because that would give you 1350 j

Answer 12

I already tried inputting 1350J as the answer but it was marked as incorrect.

Answer 13

I also tried inputting 1.35kj and that was incorrect as well.

Answer 14

Well no worries, I'll just ask my professor tomorrow. Thanks for the help!

Answer 15

How did you get it to 1.35kj? By my calculations it should be 1035kJ

Answer 16

whoops I meant 1350 kj

Answer 17

I dropped the k

Answer 18

t = 15 = 900s \[E _{k} = \frac{ (\frac{ 1 }{ 2 } \times m \times v ^{2} \times t) }{ t }\]\[E _{k} = \frac{ (\frac{ 1 }{ 2 } \times 68 \times 15 ^{2} \times 900) }{ 900 }\] \[E _{k} = 7650J\] There should be your answer :)