A student evaluates a weight loss program by calculating the number of times she would need to climb a 13.0 m high flight of steps in order to lose one pound (0.45 kg) of fat. Metabolizing 1.00 kg of fat can release 3.77 x 10) of chemical energy and the body can convert about 21.8% of this into mechanical energy (the rest goes into internal energy.) HINT (a) How much mechanical energy (in J) can the body produce from 0.450 kg of fat? (b) How many trips up the flight of steps are required for the 70.0 kg student to lose 0.450 kg of fat? Ignore the relatively small amount of energy required to return down the stairs. trips

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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### Weight Loss Program Evaluation

A student evaluates a weight loss program by calculating the number of times she would need to climb a **13.0 m** high flight of steps in order to lose one pound (0.45 kg) of fat. Metabolizing 1.00 kg of fat can release **3.77 × 10⁷ J** of chemical energy and the body can convert about **21.8%** of this into mechanical energy (the rest goes into internal energy).

#### Questions:

(a) **How much mechanical energy (in J) can the body produce from 0.450 kg of fat?**
- Answer box: [    ] J

(b) **How many trips up the flight of steps are required for the 70.0 kg student to lose 0.450 kg of fat?** Ignore the relatively small amount of energy required to return down the stairs.
- Answer box: [    ] trips

#### Hint:
Clicking the HINT button reveals more detailed information or guidance to solve the problem, such as formulas or tips on how to approach the calculation. 

This exercise involves applying principles of energy metabolism and mechanical work to understand the physical effort required for weight loss. It integrates concepts from chemistry and physics, particularly the conversion of energy units and mechanics.
Transcribed Image Text:### Weight Loss Program Evaluation A student evaluates a weight loss program by calculating the number of times she would need to climb a **13.0 m** high flight of steps in order to lose one pound (0.45 kg) of fat. Metabolizing 1.00 kg of fat can release **3.77 × 10⁷ J** of chemical energy and the body can convert about **21.8%** of this into mechanical energy (the rest goes into internal energy). #### Questions: (a) **How much mechanical energy (in J) can the body produce from 0.450 kg of fat?** - Answer box: [ ] J (b) **How many trips up the flight of steps are required for the 70.0 kg student to lose 0.450 kg of fat?** Ignore the relatively small amount of energy required to return down the stairs. - Answer box: [ ] trips #### Hint: Clicking the HINT button reveals more detailed information or guidance to solve the problem, such as formulas or tips on how to approach the calculation. This exercise involves applying principles of energy metabolism and mechanical work to understand the physical effort required for weight loss. It integrates concepts from chemistry and physics, particularly the conversion of energy units and mechanics.
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