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Chapter 5: Problem 14

A smaller or less active person may require only \(1,300 \mathrm{kcal}\) per day of food intake, while a larger or more active person might demand \(3,000 \mathrm{kcal}\) per day. Approximately what range of power does this spread translate to, in Watts?

Short Answer

Expert verified
Answer: To find the range of power in Watts for a person with a daily food intake of 1,300 kcal and 3,000 kcal, we need to convert kcal to Joules, divide the energy by the total time in a day (in seconds), and calculate the range of power. The approximate range of power in Watts for a person with a daily food intake of 1,300 kcal and 3,000 kcal can be found using the steps mentioned above.

Step by step solution

01

Convert kcal to Joules

To convert kcal to Joules, we'll use the conversion factor (1 kcal = 4,184 Joules). For 1,300 kcal: Energy in Joules = 1,300 kcal * 4,184 J/kcal For 3,000 kcal: Energy in Joules = 3,000 kcal * 4,184 J/kcal
02

Calculate the time in seconds for a day

We'll convert a day into seconds: 1 day = 24 hours = 24 * 60 minutes = 24 * 60 * 60 seconds
03

Calculate the power in Watts

To find the power in Watts, we'll divide the energy in Joules by the time in seconds. For 1,300 kcal: Power in Watts (lower limit) = (1,300 kcal * 4,184 J/kcal) / (24 * 60 * 60 s) For 3,000 kcal: Power in Watts (upper limit) = (3,000 kcal * 4,184 J/kcal) / (24 * 60 * 60 s)
04

Calculate and present the range of power

The range of power in Watts can be calculated and presented as: Range of power = Power in Watts (upper limit) - Power in Watts (lower limit) So, the range of power (in Watts) for a person with a daily food intake of 1,300 kcal and 3,000 kcal is approximately the range calculated in step 3.

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Most popular questions from this chapter

A typical textbook may have a mass of \(1 \mathrm{~kg}\), and thus a weight of about \(10 \mathrm{~N}\). How high could the textbook be lifted (against the force of gravity) by supplying one Joule of energy?

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Follow the evolution of energy exchanges for a wad of clay that you throw high into the air. Describe what is happening as the clay moves upward, as it reaches its apex, as it falls back down, and finally hits the ground with a thud. Where does the initial energy you put into the clay end up?

A \(50 \mathrm{~kg}\) crate might require \(200 \mathrm{~N}\) to slide across a concrete floor. If we must slide it \(10 \mathrm{~m}\) along the floor and then lift it \(2 \mathrm{~m}\) into a truck, how much energy goes into each action, and what fraction of the total energy expenditure is each?

A car headlight using light emitting diodes (LEDs) operates at about \(15 \mathrm{~W}\). If drawing from the car's \(12 \mathrm{~V}\) battery, how much current, in Amps, flows to the headlight?
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