<u>Answer</u>
The distance must be one-third the original distance.
<u>Explanation</u>
Gravitational force is the force of attraction between two bodies of given masses. It is calculated by the formula;
Gravitational force = Gm₁m₂/r²
This means, for the gravitational force to remain unchanged, both numerator and denominator has to change by equal value.
The numerator changed by (1/3×1/3 = 1/9).
So, r² must change by the same value which is 1/9.
If r² ⇒ 1/9, then
r ⇒ √1/9
⇒ 1/3
So, this means, for the gravitational force to remain as 200, The distance must be one-third the original distance.
We can base this on the equation of thermal expansion.
ΔL = L₀αΔT
where
ΔL is the expansion of length upon heating
L₀ is the initial length
α is the coefficient of linear expansion
ΔT is the temperature difference
So, if α for Aluminum is greater than α for Copper, then after heating, aluminum would be longer than copper.
The sun is actually plasma but let us say that it is actually a Gas ball, as are all stars. All stars are essentially made out of gasses.