Answer : Distance, d=6.98 × 10⁷ Km
Explanation :
Given that,
Mass of the sun, m₁ = 1.99 × 10³⁰ kg
Mass of Mercury, m₂ = 3.30 × 10²³ kg
Gravitational force between the sun and mercury, F = 8.99 × 10²¹ N
According to Universal law of gravitation,
\(F=G\dfrac{m_1m_2}{d^2}\)
d is the distance of mercury from the sun
\(d=\sqrt{\dfrac{Gm_1m_2}{F}}\)
\(d=\sqrt{\dfrac{6.67\times 10^{-11}\times 1.99\times {30}\times 3.30\times 10^{23}}{8.99\times 10^{21}}}\)
\(d=\sqrt{4.87\times 10^{21}} m\)
\(d=6.98\times 10^{10}\ m\)
or
\(d=6.98\times 10^{7}\ Km\)
So, mercury is \(6.98\times 10^{7}\ Km\) far from the sun.
