Question

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Calculate the Force exerted by the Sun on Earth if the mass of Sun is 2×10^30 kg and mass of earth is 6×10^24 kg and the avg. distance between them is 1.2 × 10^11m. ​

Answer 1

We know,

F = GMm/r²

Now,

G which is gravitational constant = 6.67×10-¹¹

M = 2× 10^30 kg

m = 6 × 10²⁴ kg

r = 1.2×10¹¹ m

r² = (1.2×10¹¹)² = 1.44 × 10²²m

Now,

Force exerted by the sun on Earth is

= 6.67×10-¹¹(2×10^30 × 6 × 10²⁴)/ 1.44×10²²

=>6.67× 10¹¹(12×10^54)× 10-²²/1.44

=>6.67×10-¹¹×12×10^54 × 10-²²/1.44

=>6.67 × 12× 10-³³× 10^54/1.44

=>6.67 × 12 × 10²¹/1.44

=>6.67×10²¹/0.12

=>55.5 × 10²¹

=>5.55 × 10²²

The sun exerts a force of 5.55×10²² Newton on the Earth.

{p.s the actual force with which the sun and the earth pulls each other is 3.52×10²² N. The slight alteration in my answer came just because of the values of masses of earth and sun we have assumed in the question which is surely not accurate. It's not a matter to be worried about so chill}

Cheers!