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07/01/2021 4:41 pm
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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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07/01/2021 4:49 pm
Mass of the earth, \(M_e = 6 \times 10^{24} kg\)
Mass of the sum, \(M_s = 2 \times 10^{30} kg\)
Distance between the earth and the sun,
R = \(1.5 \times 10^{11}m\)
Then, the gravitational force between the earth and the sun is given by,
F = \(G \frac{M_e \times M_s}{R^2}\)
F = \(\frac{6.67 \times 10^{-11} N m^2 kg^{-2} \times (6 \times 10^{24}kg) \times (2 \times 10^{30} kg)}{(1.5 \times 10^{11} m)^2}\)
= 3.56 × 1022 N
Thus, the earth and the sun attract each other by a gravitational force of 3.56 × 1022 N.