Question

An asteroid orbiting the Sun has a mass of 4.00×1016 kg. At a particular instant, it experiences a gravitational force of 3.14×1013 N from the Sun. The mass of the Sun is 1.99×1030 kg. How far is the asteroid from the Sun?

Answer 1

The asteroid is 4.11 x 10¹¹ m far from Sun

Step-by-step explanation:

We have gravitational force

`F=(GMm)/(r^2)`

Where G = 6.67 x 10⁻¹¹ N m²/kg²

M = Mass of body 1

M = Mass of body 2

r = Distance between them

Here we have

M = Mass of Sun = 1.99×10³⁰ kg

m = Mass of asteroid = 4.00×10¹⁶ kg

F = 3.14×10¹³ N

Substituting

`F=(GMm)/(r^2)\\\\3.14* 10^(13)=(6.67* 10^(-11)* 1.99* 10^(30)* 4* 10^(16))/(r^2)\\\\r=4.11* 10^(11)m`

The asteroid is 4.11 x 10¹¹ m far from Sun