In the “Little Prince,” the Prince visits a small asteroid called B612. If the asteroid has a radius of 20.0 m and a mass of 2.00 x 10^4kg, what is the acceleration due to gravity on the asteroid (G=6.67x10-11N m2/kg2)?

Respuesta :

Answer:

[tex]g= 3.33\times 10^{-9}\ m/s^2[/tex]

Explanation:

Given that,

The mas of asteroid is [tex]2\times 10^4\ kg[/tex]

The radius of asteroid is 20 m

We need to find the acceleration due to gravity on the asteroid. The formula for this is given by :

[tex]g=\dfrac{GM}{r^2}[/tex]

Where G is universal gravitational constant

[tex]g=\dfrac{6.67\times 10^{-11}\times 2\times 10^4}{(20)^2}\\\\g=3.33\times 10^{-9}\ m/s^2[/tex]

So, the acceleration due to gravity on the asteroid is [tex]3.33\times 10^{-9}\ m/s^2[/tex].

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