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.

M_Sun = 2 × 10³⁰ kg

M_Earth = 6 × 10²⁴ kg

R = Average distance between the Earth and the Sun = 1.5 × 10¹¹ m

G = Universal gravitational constant = 6.7 × 10⁻¹¹ Nm² kg⁻²

According to the universal law of gravitation, the force of attraction between the Earth and the Sun is given by

F = {G × M_{Sun} × M_{Earth} \over R^2}

= {6.7 × 10^{−11} × 2 × 10^{30} × 6 × 10^{24} \over ({1.5 \times 10^{11})^2}}

= 3.57 × 10²² N

Hence, the force of gravitation between the Earth and the Sun is 3.57 × 10²² N