Question

A quarter-pound hamburger with all the fixings has a mass of $200 \mathrm{g} .$ The food energy of the hamburger $(480$ food calories) is 2 MJ. a. What is the energy equivalent of the mass of the hamburger? b. By what factor does the energy equivalent exceed the food energy?

Name: Problem 36, Chapter 27: College Physics: A Strategic Approach
Uploaded: 2020-06-18T05:30:52-08:00
Duration: 1 min 37 s
Channel: Zulfiqar Ali
Description: A quarter-pound hamburger with all the fixings has a mass of 200 g . The food energy of the hamburger (480 food calories) is 2 MJ. a. What is the energy equivalent of the mass of the hamburger? b. By what factor does the energy equivalent exceed the food energy?

   A quarter-pound hamburger with all the fixings has a mass of $200 \mathrm{g} .$ The food energy of the hamburger $(480$ food calories) is 2 MJ.
a. What is the energy equivalent of the mass of the hamburger?
b. By what factor does the energy equivalent exceed the food energy?

College Physics: A Strategic Approach

Randall D. Knight,… 3rd Edition

Chapter 27, Problem 36

Instant Answer

Solved by Expert Zulfiqar Ali

06/18/2020

Step 1

To find the energy equivalent of the mass of the hamburger, we can use Einstein's famous equation, $E=mc^2$, where $E$ is the energy, $m$ is the mass, and $c$ is the speed of light. First, we need to convert the mass of the hamburger from grams to kilograms: $200 Show more…

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A quarter-pound hamburger with all the fixings has a mass of $200 \mathrm{g} .$ The food energy of the hamburger $(480$ food calories) is 2 MJ. a. What is the energy equivalent of the mass of the hamburger? b. By what factor does the energy equivalent exceed the food energy?

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Key Concepts

Mass-Energy Equivalence

This principle, most famously expressed by the equation E = mc², states that mass and energy are interchangeable; even a small amount of mass can correspond to a large quantity of energy when multiplied by the square of the speed of light. This concept is fundamental in both nuclear physics and cosmology, helping explain why the energy equivalent of a given mass is extraordinarily high compared to everyday energy scales.

Unit Conversions

Understanding unit conversions is key when comparing different forms of energy and mass. In physics problems, it is often necessary to convert units, such as grams to kilograms for mass or various energy units (like joules, food calories, or megajoules), to ensure consistency and clarity in calculations. This skill is crucial for accurately interpreting and solving problems that bridge theoretical formulations and practical measurements.

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