A 62-kg woman eats a 620 Calorie (620 kcal) jelly doughnut for breakfast. (a) How many joules of energy are the equivalent of one jelly doughnut? 2594080 (b) How many steps must the woman climb on a very tall stairway to change the gravitational potential energy of the woman-Earth system by a value equivalent to the food energy in one jelly doughnut? Assume the height of a single stair is 15 cm. 27893 v stairs (c) If the human body is only 27% efficient in converting chemical potential energy to mechanical energy, how many steps must the woman climb to work off her breakfast? 75.2 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. stairs
A 62-kg woman eats a 620 Calorie (620 kcal) jelly doughnut for breakfast. (a) How many joules of energy are the equivalent of one jelly doughnut? 2594080 (b) How many steps must the woman climb on a very tall stairway to change the gravitational potential energy of the woman-Earth system by a value equivalent to the food energy in one jelly doughnut? Assume the height of a single stair is 15 cm. 27893 v stairs (c) If the human body is only 27% efficient in converting chemical potential energy to mechanical energy, how many steps must the woman climb to work off her breakfast? 75.2 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. stairs
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Transcribed Image Text:### Energy Conversion and Efficiency: A Practical Example
**Scenario:**
A 62-kg woman consumes a 620 Calorie (620 kcal) jelly doughnut for breakfast.
**Questions:**
(a) **Conversion of Food Energy into Joules**
- **Question:** How many joules of energy are the equivalent of one jelly doughnut?
- **Answer:**
- Calculation: 2594080 Joules
- Correctness: ✓
(b) **Calculating the Number of Steps for Energy Expenditure**
- **Question:** How many steps must the woman climb on a very tall stairway to change the gravitational potential energy of the woman-Earth system by a value equivalent to the food energy in one jelly doughnut? Assume the height of a single stair is 15 cm.
- **Answer:**
- Calculation: 27893 stairs
- Correctness: ✓
(c) **Considering Human Body Efficiency in Energy Conversion**
- **Question:** If the human body is only 27% efficient in converting chemical potential energy to mechanical energy, how many steps must the woman climb to work off her breakfast?
- **Answer:**
- Calculation: 75.2 stairs (Incorrect)
- Feedback: Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.
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This practical example demonstrates the application of energy conversion principles and helps illustrate the efficiency of the human body in converting chemical energy from food into mechanical energy through physical activity. The calculations reveal the significant number of steps required to expend the energy consumed from a single jelly doughnut, emphasizing the importance of physical activity in energy balance.
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