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Our galaxy, the milky way, contains approximately 4.0x1011 starts with an average mass of 2.0x1030kg each. how far away is the milky way from our nearest neighbor, the andromeda galaxy, if andromeda contains roughly the same number of stars and attracts the milky way with a gravitational force of 2.4x1030n?

Sagot :

Lanuel

By applying the law of universal gravitation, the distance between the milky way and the andromeda galaxy is equal to 4.2 × 10¹¹ meters.

Given the following data:

  • Mass A, m = 4.0 × 10¹¹ kg.
  • Mass B, M = 2.0 × 10³⁰ kg.
  • Gravitational force, F = 2.4 × 10³⁰ Newton.

Scientific data:

Gravitational constant = 6.67 × 10⁻¹¹ m/kg²

How to calculate the distance?

In order to determine the distance between the milky way and the andromeda galaxy, we would apply the law of universal gravitation.

According to the law of universal gravitation, the distance between two astronomical bodies can be calculated by using this formula:

[tex]d = \sqrt{\frac{GmM}{F} }[/tex]

Substituting the parameters into the formula, we have;

[tex]d = \sqrt{\frac{6.67 \times 10^{-11} \times 2.0 \times 10^{30} \times 4.0 \times 10^{11}}{2.4 \times 10^{30}} }[/tex]

Distance, d = 4.2 × 10¹¹ meters.

Read more on universal gravitation here: https://brainly.com/question/9373839

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