16. Calculate the force of gravitation between the earth and the Sun, given that the mass of the earth = 6 × 10^{24} kg and of the Sun = 2 × 10^{30} kg. The average distance between the two is 1.5 × 10^{11} m.

Given data:

Mass of the sun m_{s} = 2 × 10^{30} kg

Mass of the earth m_{e} = 6 × 10^{24} kg

Gravitation constant G = 6.67 x 10^{-11} N m^{2}/ kg^{2}

Average distance r = 1.5 × 10^{11} m

From Universal law of Gravitation

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