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(a) How much gravitational potential energy (relative to the ground on which it is built) is stored in an Egyptian pyramid, given its mass is about 9 ✕ 109 kg and its center of mass is 45.0 m above the surrounding ground? J(b) What is the ratio of this energy to the daily food intake of a person (1.2 ✕ 107 J)? :1

a How much gravitational potential energy relative to the ground on which it is built is stored in an Egyptian pyramid given its mass is about 9 109 kg and its class=

Respuesta :

Answer:

(a) 3.969 x 10¹² J

(b) 330750 : 1

Explanation:

The gravitational potential energy can be calculated as

E = mgh

Where m is the mass, g is the gravity and h is the height.

Replacing m = 9 x 10⁹ kg, g = 9.8 m/s², and h = 45.0 m, we get:

E = (9 x 10⁹ kg)(9.8 m/s²)(45.0 m)

E = 3.969 x 10¹² J

Then, we can calculate the ratio by dividing this amount by 1.2 x 10⁷ J, so

[tex]\frac{3.969\times10^{12}}{1.2\times10^7}=330750[/tex]

Therefore, the ratio is 330750 : 1

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