The gravitational force between the sun and Jupiter is approximately 4 × 10 23 N . If mass of sun 1 .99 × 10 30 kg , the mean distance of the Jupiter from the sun is d = 7 .8 × 10 11 m , find the mass of jupiter.

Given that, The force, F = 4 × 10 23 N Mass of Sun, M = 1 .99 × 10 30 kg The distance, d = 7 .8 × 10 11 m The equation for force is, F = G M m d 2 where m is the mass of Jupiter. Substituting the values, m = 4 × 10 23 × ( 7 .8 × 10 11 ) 2 6 .67 × 10 − 11 × 1 .99 × 10 30 = 1 .8 × 10 27 kg

Find the gravitational force between earth and moon given that mass of earth = 6 × 10 24 kg , mass of moon = 7 . 4 × 10 22 kg and the centre to centre distance of earth and moon = 3 . 84 × 10 8 m .

Given that, Mass of earth, M = 6 × 10 24 kg Mass of moon, m = 7 .4 × 10 22 kg Distance, r = 3 .84 × 10 8 m The equation for force is, F = G m 1 m 2 r 2 where G is the universal gravitational constant. Substituting the values, F = G m 1 m 2 r 2 = 6 .67 × 10 − 11 × 6 × 10 24 × 7 .4 × 10 22 ( 3 .84 × 10 8 ) 2 = 2 × 10 20 N

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Important Questions on Gravitation

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Science>Physics>Gravitation>Universal Law of Gravitation

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Science>Physics>Gravitation>Universal Law of Gravitation

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Science>Physics>Gravitation>Universal Law of Gravitation

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d = 7 .8 \times 10^{11} m

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Science>Physics>Gravitation>Universal Law of Gravitation

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Science>Physics>Gravitation>Universal Law of Gravitation

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Science>Physics>Gravitation>Universal Law of Gravitation

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Science>Physics>Gravitation>Universal Law of Gravitation

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