What is the gravitational force between two identical 50,000 kg asteroids whose centers of mass are separated by 1000 m?

The gravitational force between the two identical asteroids is 1.67 × 10⁻⁷ Newton.

Given the data in the question

Since the asteroids are identical

Gravitational force;

To determine the gravitational force between two identical asteroids, we use the Newton's law of universal gravitation:

Where is mass of object 1, is mass of object 2, r is the distance between centers of the masses and G is the Gravitational constant ( )

We substitute our values into the equation

Therefore, the gravitational force between the two identical asteroids is 1.67 × 10⁻⁷ Newton.

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The gravitational force between the two masses is 1.668575 × 10⁻¹¹ N

Explanation:

The given parameters are;

The mass of the two asteroids having gravitational attraction, are m₁ = m₂ = m = 50,000 kg

The separation distance between their centers, r = 1,000 m

The gravitational attraction force, F, between the two masses is given as follows;

Where;

G = The universal gravitational constant = 6.67430 × 10⁻¹¹ N·m²/kg²

m₁ = m₂ = m

Substituting the values gives;

The gravitational force, F, between the two masses = 1.668575 × 10⁻¹¹ N.

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