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Q.

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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Detailed Solution

Mass of Earth    m=6×1024kg

Mass of Sun    M=2×1030kg

Distance between Sun and Earth   r=1.5×1011 m

Force of gravitation between them 

F=GMmr2      

F=6.67×10112×1030×6×10241.5×10112

F=3.557×1022 N

 Hence the force of gravitation between the Earth and the Sun is 3.557 x 1022N.

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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.