Question

If the distance between the Earth and the Sun were increased by a factor of 2.51, by what factor would the strength of the force between them change? [Hint: Use Newton's Law of Universal Gravitation, and give your answer to 2 decimal places only]

Answer 1

Force between sun and earth will decrease by
`2.51^2=6.3` times

Step-by-step explanation:

According to law of gravitation we know that force between two object is given by

`F=(GM_1M_2)/(R^2)`, here G is universal gravitational constant
`M_1` is mass of one object and
`M_2` is mass of other object , and R is the distance between them

From the relation we can see that force is inversely proportional to square of distance between them

So force between sun and earth will decrease by
`2.51^2=6.3` times