The typical distance between average$-$sized asteroids in the main asteroid belt is about a million km$.$ Use the following values to calculate the force between two such asteroids:

 

 

Mass of asteroid $1=6\mathrm{.}68$x$10$⁸ kg

 

Mass of asteroid $2=7\mathrm{.}87$x$10$⁸ kg

 

Distance between asteroids $1$ and $2=1\mathrm{.}181$x$10$^9 m

 

Then, calculate the force of attraction between the Sun and asteroid $1,$ knowing that the Sun's mass is $1\mathrm{.}98847$x$1\mathrm{0^}30$ kg and asteroid $1$ is $2\mathrm{.}52$ AU from the Sun.

 

 

How many times greater is the Sun's force compared to asteroid $2\text{'}$s force on asteroid $1?$

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To calculate the force of attraction between two asteroids we can use Newtons law of universal gravi... View the full answer