### Gravitational Potential Energy in an Egyptian Pyramid#### (a) Calculation of Gravitational Potential Energy**Problem Statement:** How much gravitational potential energy (in joules, J) is stored in an Egyptian pyramid, considering its mass is about \(8 \times 10^9\) kg and its center of mass is 36.0 m above the surrounding ground?**Solution Placeholder:** \[ \boxed{} \] J#### (b) Ratio to Daily Food Intake**Problem Statement:** What is the ratio of this energy to the daily food intake of a person, which is approximately \(1.2 \times 10^7\) J?**Solution Placeholder:** \[ \boxed{} :1 \] ### Explanation of Concepts1. **Gravitational Potential Energy (GPE):** - GPE is calculated using the formula: \(PE = m \cdot g \cdot h\) - \(m\) is the mass (in kilograms) - \(g\) is the acceleration due to gravity (approximately \(9.8 \, \text{m/s}^2\)) - \(h\) is the height above the ground (in meters)2. **Ratio Calculation:** - The ratio is calculated by dividing the gravitational potential energy of the pyramid by the daily energy intake of a person.

Answered: Image /qna-images/answer/96c4b6eb-4600-4852-9112-16cf8997d973.jpg

(a) How much gravitational potential energy (in J) (relative to the ground on which it is built) is stored in an Egyptian pyramid, given its mass is about 8 x 10° kg and its center of mass is 36.0 m above the surrounding ground? (b) What is the ratio of this energy to the daily food intake of a person (1.2 x 107 J)?

(a) How much gravitational potential energy (in J) (relative to the ground on which it is built) is stored in an Egyptian pyramid, given its mass is about 8 x 10° kg and its center of mass is 36.0 m above the surrounding ground? (b) What is the ratio of this energy to the daily food intake of a person (1.2 x 107 J)?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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