Question #110765
your walk to your morning physics lecture takes 10 minutes and as you walk you do mechanical work at a rate of 33W with an efficiency of 6%. How much energy stored in your body ahve you used up over the course of your walk?
1
Expert's answer
2020-04-21T19:13:01-0400

Solution.

t=10minutes;N=33W;η=6%;t = 10 minutes; N = 33W; η = 6\%;

The efficiency ratio is the ratio of useful work to full work multiplied by 100%:

η=AuAf100%;\eta=\dfrac{A_u}{A_f}\sdot100\%;

Af=Nt;t=600seconds;Af=33600=19800J;A_f = N ⋅ t; t =600 seconds ; A_f =33 ⋅ 600 = 19800J;

W=Au=ηAf100%;W=6%19800J100%=1188J;W = A_u =\dfrac{\eta\sdot A_f }{100\%};W =\dfrac{6\%\sdot 19800J }{100\%}=1188J;

Answer:W=1188J.W=1188J.


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