(a) How much gravitational potential energy (relative to the ground on which it is built) is stored in the Great Pyramid of Cheops, given that its mass is about 7 × 109 kg and its center of mass is 36.5 m above the surrounding ground? (b) How does this energy compare with the daily food intake of a person?

Solution 17PE

Step 1 of 4</p>

The mass of the Great pyramid of Cheops is given to and its center of mass from the ground is at the height . Here in part (a) we need to calculate the gravitational potential energy of the pyramid relative to the ground on which it is built. Also in part (b) we have to compare the calculated potential energy of the pyramid with the daily food intake of a person.

Step 2 of 4</p>

(a)

Given data,

Mass of the pyramid,

Height of center of mass from ground, .

Acceleration due to gravity,

To find,

Potential energy of pyramid,

The gravitational potential energy is the energy possessed by an object due to virtue of its position in a gravitational field and is given by,

Where m is the mass of object, g is acceleration due to gravity and height of center of mass from the ground.