Alice, whose mass is 55 kg, eats a jelly doughnut for breakfast. According to the nutrition label, the doughnut contains 540 Calories of energy. To “burn off" the doughnut, Alice decides to climb the stairs at her building. The height of a single stair is 15 cm. a) Suppose Alice's body is 100% efficient. This means that when her body produces 100 joules of energy, all 100 joules go into performing mechanical work, such as climbing stairs. With this assumption, how many stairs does Alice have to climb to burn off the doughnut? b) In reality, the human body is not 100% efficient. Suppose Alice's body is 25% efficient. This means that when her body produces 100 joules of energy, only 25 joules goes into performing mechanical work (such as climbing stairs) and the rest is used for internal energy (such as maintaining normal body temperature). With this assumption, how many stairs does Alice have to climb to burn off the doughnut?

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Answer: a) 27958.4 b) 6989.6

Alice, whose mass is 55 kg, eats a jelly doughnut for breakfast. According to the
nutrition label, the doughnut contains 540 Calories of energy. To “burn off" the
doughnut, Alice decides to climb the stairs at her building. The height of a single stair is
15 cm. a) Suppose Alice's body is 100% efficient. This means that when her body
produces 100 joules of energy, all 100 joules go into performing mechanical work, such
as climbing stairs. With this assumption, how many stairs does Alice have to climb to
burn off the doughnut? b) In reality, the human body is not 100% efficient. Suppose
Alice's body is 25% efficient. This means that when her body produces 100 joules of
energy, only 25 joules goes into performing mechanical work (such as climbing stairs)
and the rest is used for internal energy (such as maintaining normal body temperature).
With this assumption, how many stairs does Alice have to climb to burn off the doughnut?
Transcribed Image Text:Alice, whose mass is 55 kg, eats a jelly doughnut for breakfast. According to the nutrition label, the doughnut contains 540 Calories of energy. To “burn off" the doughnut, Alice decides to climb the stairs at her building. The height of a single stair is 15 cm. a) Suppose Alice's body is 100% efficient. This means that when her body produces 100 joules of energy, all 100 joules go into performing mechanical work, such as climbing stairs. With this assumption, how many stairs does Alice have to climb to burn off the doughnut? b) In reality, the human body is not 100% efficient. Suppose Alice's body is 25% efficient. This means that when her body produces 100 joules of energy, only 25 joules goes into performing mechanical work (such as climbing stairs) and the rest is used for internal energy (such as maintaining normal body temperature). With this assumption, how many stairs does Alice have to climb to burn off the doughnut?
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