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Question

Calculate the force of gravitation between the earth and the sun. [given that the mass of the 3 earthï€61024 kg, mass of the sunï€21030 kg, average distance between the two is 1.51011 m and Gï€6.671011 Nm2kg2 ].

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Solution

Mass of earth, M e = 6 × 10 24 kg

Mass of sun, M s = 2 × 10 30 kg

Distance, R = 1.5 × 10 11 m

Universal gravitational constant, G = 6.67 × 10 -11 Nm 2 /kg 2

Force of gravity, F = GM e M s /R 2

=> F = (6.67 × 10 -11 ) × (6 × 10 24 ) × (2 × 10 30 )/( 1.5 × 10 11 ) 2

=> F = 3.56 × 10 22 N


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