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

Darian Hubbard

Darian Hubbard

Answered question

2022-07-22

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

Answer & Explanation

Mireya Hoffman

Mireya Hoffman

Beginner2022-07-23Added 14 answers

Given data:
Two identical asteroids
m 1 = m 2 = m = 50 , 000   k g
Distance (r) = 1000 m
Required:
The gravitational force ( F g )
We know that
Universal gravitational constant
G = 6.67 × 10 11   N m 2 / k g 2
The gravitational force between two objects is given by
F g = G m 2 r 2 = ( 6.67 × 10 11   N m 2 / k g 2 ) ( 50000   k g ) 2 ( 1000   m ) 2 = 1.6675 × 10 7   N 1.67 × 10 7   N
The gravitational force between the asteroids is 1.67 × 10 7   N

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