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Brain Power The human brain consumes about 22 W of power

Chapter 7, Problem 79GP

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QUESTION:

Problem 79GP

Brain Power The human brain consumes about 22 W of power under normal conditions, though more power may be required during exams. (a) How long can one Snickers bar (see the note following Problem) power the normally functioning brain? (b) At what rate must you lift a 3.6-kg container of milk (one gallon) if the power output of your arm is to be 22 W? (c) How long does it take to lift the milk container through a distance of 1.0 m at this rate?

Human-Powered Flight Human-powered aircraft require a pilot to pedal, as in a bicycle, and produce a sustained power output of about 0.30 hp. The Gossamer Albatross flew across the English Channel on June 12, 1979, in 2 h 49 min. (a) How much energy did the pilot expend during the flight? (b) How many Snickers candy bars (280 Cal per bar) would the pilot have to consume to be “fueled up” for the flight? [Note: The nutritional calorie, 1 Cal, is equivalent to 1000 calories (1000 cal) as defined in physics. In addition, the conversion factor between calories and joules is as follows: 1 Cal = 1000 cal = 1 kcal = 4186 J.]

Questions & Answers

QUESTION:

Problem 79GP

Brain Power The human brain consumes about 22 W of power under normal conditions, though more power may be required during exams. (a) How long can one Snickers bar (see the note following Problem) power the normally functioning brain? (b) At what rate must you lift a 3.6-kg container of milk (one gallon) if the power output of your arm is to be 22 W? (c) How long does it take to lift the milk container through a distance of 1.0 m at this rate?

Human-Powered Flight Human-powered aircraft require a pilot to pedal, as in a bicycle, and produce a sustained power output of about 0.30 hp. The Gossamer Albatross flew across the English Channel on June 12, 1979, in 2 h 49 min. (a) How much energy did the pilot expend during the flight? (b) How many Snickers candy bars (280 Cal per bar) would the pilot have to consume to be “fueled up” for the flight? [Note: The nutritional calorie, 1 Cal, is equivalent to 1000 calories (1000 cal) as defined in physics. In addition, the conversion factor between calories and joules is as follows: 1 Cal = 1000 cal = 1 kcal = 4186 J.]

ANSWER:

Step 1 of 4

The power consumption of brain is 22 W,

(a) Calculate time a Snickers bar can power the brain.

(b) The rate of lift of a 3.6 kg container of milk to match the power of brian.

(c) Then calculate the time required to lift the milk to 1.0 m with the calculated rate.

(a)

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