Energy is conventionally measured in Calories as wellas in joules. One Calorie in

Chapter 8, Problem 40

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Energy is conventionally measured in Calories as wellas in joules. One Calorie in nutrition is one kilocalorie,defined as 1 kcal 5 4 186 J. Metabolizing 1 g of fatcan release 9.00 kcal. A student decides to try to loseweight by exercising. He plans to run up and downthe stairs in a football stadium as fast as he can and suppose he runs up a flight of 80 steps, each 0.150 mhigh, in 65.0 s. For simplicity, ignore the energy heuses in coming down (which is small). Assume a typicalefficiency for human muscles is 20.0%. This statementmeans that when your body converts 100 J frommetabolizing fat, 20 J goes into doing mechanical work(here, climbing stairs). The remainder goes into extrainternal energy. Assume the students mass is 75.0 kg.(a) How many times must the student run the flightof stairs to lose 1.00 kg of fat? (b) What is his averagepower output, in watts and in horsepower, as he runsup the stairs? (c) Is this activity in itself a practical wayto lose weight?

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