Calculate the gravity Mass of Andromeda galaxy 1.5 × 10^42 kg Mass of Milky Way galaxy 8.0...

Calculate the gravity

Mass of Andromeda galaxy	1.5 × 10^42 kg
Mass of Milky Way galaxy	8.0 × 10^1 % of Andromeda's mass
Distance between the galaxies	2.9 *10^6 light years

1) Even though it is not quite right for this situation, use Newton's Law of Gravitation to calculate the force of gravity (in Newtons) between the Milky Way galaxy and the Andromeda galaxy today.

2) In the future, will the force of gravity between the two galaxies increase, decrease or stay the same? Why?

Solutions

Expert Solution

Force F of gravity between Milky Way galaxy and Andromeda galaxy is given as

Where G = 6.673 10^-11 N m² kg^-2 is gravitation constant

M₁ = mass of Andromeda = 1.5 10⁴² kg

M₂ = mass of Milky way = 0.8 1.5 10⁴² kg

d = distance between galaxies = 2.9 10⁶light-year = 2.9 10⁶ 9.461 10¹⁵ m = 2.744 10²² m

F = [ 6.673 10^-11 ( 1.5 10⁴² )² 0.8 ] / ( 2.744 2.744 10⁴⁴ )

F = 1.595 10²⁹ N

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From the force calculated above and from the mass of galaxies , we get aceleration of galaxies towards each other is the order of 10^-13 m/s² .

If we assume the theory that universe is expanding at the rate of 72 km/s , then distance between galaxies are increasing.

Hence force of gravity between galaxies will decrease.

genius_generous answered 1 year ago

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