(3%) Problem 14: The Great Pyramid of Cheops\' mass is about 7 × 109 kg and its
ID: 1785446 • Letter: #
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(3%) Problem 14: The Great Pyramid of Cheops' mass is about 7 × 109 kg and its center of mass is 365 m above the surrounding ground 50% Part (a) What average gravitational potential energy (relative to the ground on which it is built) is stored in the Great Pyramid of Cheops? Grade Summary 0% 100% Potential tan() | | ( | Submissions Attempts remaining: 7 (29% per attempt) detailed view cosO cotanO asin0 acos0 atanO acotan)sinh(0 cosh0 tanh) cotanh0 Degrees Radians sinO END DEL CLEAR Submit Hint I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. 50% Part (b) How many times bigger is this than the daily food intake of a person (which you can assume is 0 75 × 107 J)?Explanation / Answer
a) given mass = 7 x109 kg
height of COM from ground = h = 36.5 m
so avg gravitational potential energy = mgh = ( 7 x109 ) x 9.81 x 36.5
= 2.51 x1012 J
b) given daily food intake of a person = 0.75 x107 J
so ratio = 2.51 x1012 J/ 0.75 x107 J
=334194
answer
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