(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 7 x 10° kg and its center of mass is 40.0 m above the surrounding ground? (Enter a number.) (b) What is the ratio of this energy to the daily food intake of a person (1.2 x 10' J)? (Enter your answer as a ratio to the number 1. Enter a number.) :1

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Chapter1: Units, Trigonometry. And Vectors
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**Problem Statement:**

(a) Calculate the gravitational potential energy (in Joules) stored in an Egyptian pyramid. Assume the pyramid's mass is approximately \(7 \times 10^9 \, \text{kg}\) and its center of mass is \(40.0 \, \text{m}\) above the surrounding ground. (Enter a numerical answer.)

\[ \text{Answer:} \, \boxed{ \, } \, \text{J} \]

(b) Determine the ratio of the pyramid's gravitational potential energy to the daily food intake energy of a person, which is \(1.2 \times 10^7 \, \text{J}\). Provide your answer as a numerical ratio to one. (Enter a numerical answer.)

\[ \text{Answer:} \, \boxed{ \, } : 1 \]
Transcribed Image Text:**Problem Statement:** (a) Calculate the gravitational potential energy (in Joules) stored in an Egyptian pyramid. Assume the pyramid's mass is approximately \(7 \times 10^9 \, \text{kg}\) and its center of mass is \(40.0 \, \text{m}\) above the surrounding ground. (Enter a numerical answer.) \[ \text{Answer:} \, \boxed{ \, } \, \text{J} \] (b) Determine the ratio of the pyramid's gravitational potential energy to the daily food intake energy of a person, which is \(1.2 \times 10^7 \, \text{J}\). Provide your answer as a numerical ratio to one. (Enter a numerical answer.) \[ \text{Answer:} \, \boxed{ \, } : 1 \]
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