Given: MS = 1.99 × 1030 kg, ME = 5.98 × 1024 kg, R = 1.5 × 1011 m To find: Gravitational force between the Sun and the Earth (F) Formula: F = `("Gm"_1"m"_2)/"r"^2` Calculation: As, we know, G = 6.67 × 10–11 N m2/kg2 From formula, F = `("GM"_"s""M"_"E")/"R"^2` `= (6.67 xx 10^-11 xx 1.99 xx 10^30 xx 5.98 xx 10^24)/(1.5 xx 10^11)^2` ∴ F = `(6.67 xx 1.99 xx 5.98)/2.25 xx 10^21` = antilog{(log(6.67) + log(1.99) + log(5.98) - log(2.25)} × 1021 = antilog{(0.8241) + (0.2989) + (0.7767) - (0.3522)} × 1021 = antilog{1.5475} × 1021 = 35.28 × 1021 = 3.5 × 1022 N The gravitational force between the Sun and the Earth is = 3.5 × 1022 N. Open in App Suggest Corrections 226 |