Calculate the force of gravitation between the earth and the Sun, given that the mass of the earth = 6 × 10²⁴ kg and of the Sun = 2 × 10³⁰ kg. The average distance between the two is 1.5 × 10¹¹ m.

Given data:

Mass of the sun m_s = 2 × 10³⁰ kg

Mass of the earth m_e = 6 × 10²⁴ kg

Gravitation constant G = 6.67 x 10^-11 N m²/ kg²

Average distance r = 1.5 × 10¹¹ m

From Universal law of Gravitation

\( F = \frac{Gm_1 m_2 }{d^2} \ \)
\( \Rightarrow \ F = \frac{ 6.67 × 10^{-11} × 6 × 10^{24} × 2 × 10^{30} }{(1.5 × 10^{11})^2 } \ \)
\( \Rightarrow \ F =3.56 × 10^{23} N \)