Physics, 04.04.2020 08:31 HomeWorkForLife

(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 8 ✕ 109 kg and its center of mass is 34.0 m above the surrounding ground?.

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Answer from: hanjonez

$2.66832\times10^{12}$

2,668,320,000

Explanation:

Potential energy is given as the product of mass, acceleration due to gravity and height.

PE=mgh

Where m is the mass of pyramid, g is acceleration due to gravity and h is height at any point.

In reference to the earth, we substitute h for 34.0 m and g with 9.81 m/s2 then taking m as 8000000000 kg we get that

PE=mgh=8000000*9.81*34.0=2,668,320,000 J

In scientific notafion, this is expressed as $2.66832\times10^{12}$

Answer from: Quest

Distance covered, s = 8ft - 4ft = 4 ftinitial velocity, u = 34 ft/sthe acrobat is moving upwards and therefore, a = -g = -9.81 m/s^2 = 32.19 ft/s^2applying equation of motion; s = ut -1/2gt^2then,4 = 34t -1/2*32.19t^24 = 34t - 16.095t^2rearranging; -16.095t^2 + 34t - 4 = 0solving the quadratic equation; t = {-34 +/- sqrt [34^2 - 4(-16.)]}/2(-16.095) = 1.06 +/- 0.93 = 0.13 or 1.99the acrobat will take 0.13 seconds to be at 8 ft above the ground. additionally, once at the maximum height, the acrobat will move down and be at the same spot (that is height) after 1.99 seconds moving down.

Answer from: Quest

1. what is light?

light is an electromagnetic wave visible to the human eye.

2. what is a reflection?

the rebounding of a light ray when it hits a mirror.

3. what is the incident ray?

contacts the surface of an object.

4. what is the reflected ray?

bounces off a reflective surface.

5. what is the normal ray?

perpendicular to the surface of a mirror.

6. what is the angle of incidence?

an angle formed by the incident ray and the normal.

7. what is the angle of reflection?

an angle formed by the reflected ray and the normal.

8. what is refraction?

(bending.)

9. what is a converging lens?

bring together light rays that pass through.

10. what is a diverging lens?

spreads out light passing through.

11. focal point?

the real point where the refracted rays meet when the incident rays run parallel.

i copy pasted btw from an website..

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(a) How much gravitational potential energy (relative to the ground on which it is built) is stored...