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Question
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.
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Solution
Mass of the earth (M) = 6 × 1024 kg
Mass of the Sun (m) = 2 × 1030 kg
G Universal constant = 6.67 × 1011 Nm2/kg2
The average distance between the two d = 1.5 × 1011 m.
F = `G xx (M_exxm_s)/r^2`
F = `(6.67 xx 10^-11 Nm^2 kg^-2xx (6 xx 10^24 xx 2 xx 10^30))/(1.5 xx 10^11m)^2`
F = 3.57 × 1022 N
Gravitational force between the earth and the sun = 3.57 × 1022 N
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