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astronomy homework questions

1. There is a force causing the Andromeda galaxy and the Milky Way to move away
from each other with a magnitude of 2 x 1028 N (N is Newton, a unit of force).
How close must the galaxies be to each other for the force of gravity to overtake
this repulsive force? The mass of Andromeda is 6 x 1041 kg, the mass of the
Milky Way is 3 x 1041 kg, and G = 6.7 x 10-11 N m2 / kg2. Show your work. (16
pts)
a. How does this compare to the actual distance between Milky Way and
Andromeda? (5 pts)

2. Where would you weigh the most and least and why? a) Standing on the surface
of Earth b) Standing on the surface of Pandora (http://james-camerons-
avatar.wikia.com/wiki/Pandora) c) An elevator accelerating upward on Earth
d) Standing on the surface of a Jupiter-mass planet (16 pts)

3. Your best friend travels to Caprica to see if she/he would like to live there. Your
best friend signals you with a green light beacon to let you know everything is
going well. If Caprica is moving away from Ear

828 day(s) ago

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Answers (1)

jcatta21
The repulsive force moving away the two galaxies can be looked upon as a Dark Force that acts inversely to Gravity. According to Newton's formula for universal gravitation, the masses of these galaxies multiplied by the Gravitational constant divided by the square of the distance between them yields the underlying force acting upon these bodies. Therefore, the formula for universal gravitation can be used to compute the distance needed so that the gravitational can overtake this repulsive force. Thus, the formula for universal gravitation is F = G(m1 * m2/d^2). Given the magnitide of the force 2 * 1028N || 2056N, m1 = 6 * 1041kg, m2 = 3 * 1041kg && G = 6.7 * 10-11N m2/kg2, the distance d can be found by diving out the magnitude of the repulsive force as in d = sqrt(G* m1 * m2 / F) => sqrt(0.063566113132295719844357976653696) = 0.079728359529276481811836886460023.........

As far as the actual distance is concerned, I am not too familiar with the pragmatic results of the distance between galaxies. As a math person, I am only concerned with the formula for calculating the distance between such galaxies. Based on the given masses of the galaxies, the mass of Andromedia is more massive than the Milky Way, which thereby would yield an increase in weight on the first galactic constellation. When standing on the earth, you would weigh much less because of less gravitational impact. Recall that Newton's second law differentitates mass from weight simply that weight is dependent on gravity whereas mass is not. By definition, Mass is a body's resistance to gravity. Therefore, the weight of a human entity on the earth's surface would be less than the one underneath earth, which is centered towards the center of gravity thus being propelled by the gravitational force and thereby dependent on it. As far as standing on top of the surface of Pandora depending on the distance of the celestial sphere, the person would be ethreally drawn by galactic ways surpassing that of gravity. An elevator accelerating upward on earth would protude a visual denial of the generated forces acting upon it, which concurrently suspends the exitence of gravity. Jupiter is the fitth or sixth planet closest to the sun and has over 11 satellites. As an isolated planet with comets orbiting its outer surface, this planet would be farther away from the sun than earth, which would concurrently entail a shorter and less dependency on the gravitational constant. According to Albert Einsten's theory of Relativeity, no speed is greater than the speed of light in a vacuum. The speed of light travels so fast that it is even faster than the blink of your eye. That is based on Einstein';s equation of of the gravitational curve affecting the space survature of the a celestial sphere. E = mc^2, c = 299,953,765 || 3.0 * 10^6

J.C

Posted 825 dy ago

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