That's a lot of work!
Given the total mass of the pyramid and the height of the center of mass of the pyramid from previous questions, how much work
in Joules
did it take just to raise the stones of the pyramid off the ground to their current height? Use
.
Image credit: Wikipedia Gmanacsa
The answer is 2.5273E+12.
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1 solution
We know the total mass of the pyramid ( 6 8 7 7 0 0 0 0 0 0 k g ), the average height which they would be lifted ( = centre of mass = 3 7 . 5 m ) & g = 9 . 8 m s − 2 .
Energy = m g h = 6 8 7 7 0 0 0 0 0 0 × 9 . 8 × 3 7 . 5 = 2 . 5 2 7 3 × 1 0 1 2
⇒ Total energy required is 2 . 5 2 7 3 × 1 0 1 2 J .