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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If the distance is doubled the force decreases by a factor of four. Prove it.

Important Questions on Gravitation

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Science>Physics>Gravitation>Newton’s Universal Law of Gravitation

The force between two _____ (large / point) masses is proportional to the product of their masses and inversely proportional to the square of the distance between them.

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Science>Physics>Gravitation>Newton’s Universal Law of Gravitation

An apple falls towards the earth due to attraction of the earth. Does apple also attract the earth.

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Science>Physics>Gravitation>Newton’s Universal Law of Gravitation

What is the importance of the universal law of gravitation?

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Science>Physics>Gravitation>Newton’s Universal Law of Gravitation

When a stone is thrown up, earth attract the stone but the stone does not attract the earth because the earth does not accelerate towards the stone.

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Science>Physics>Gravitation>Newton’s Universal Law of Gravitation

The gravitational force between the sun and Jupiter is approximately

4 \times 10^{23} N

. If mass of sun

1 .99 \times 10^{30} kg

, the mean distance of the Jupiter from the sun is

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

, find the mass of jupiter.

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Science>Physics>Gravitation>Newton’s Universal Law of Gravitation

What is Newton's law of gravitation? Define G.

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Science>Physics>Gravitation>Newton’s Universal Law of Gravitation

Find the gravitational force between earth and moon given that mass of earth

= 6 \times 10^{24} kg

, mass of moon

= 7.4 \times 10^{22} kg

and the centre to centre distance of earth and moon

= 3.84 \times 10^{8} m

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Science>Physics>Gravitation>Newton’s Universal Law of Gravitation

What is difference between '

g

' and '

G

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Science>Physics>Gravitation>Newton’s Universal Law of Gravitation

Inverse square law means

F \propto \frac{1}{d^{2}}

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Science>Physics>Gravitation>Newton’s Universal Law of Gravitation

How does the gravitational force between two bodies changes if the distance between them is tripled? Explain.

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Science>Physics>Gravitation>Newton’s Universal Law of Gravitation

Find the force of attraction between two spherical bodies of mass

10^{6} kg

each and having centre to centre distance of

10^{6} m

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Science>Physics>Gravitation>Newton’s Universal Law of Gravitation

The gravitational force of attraction between two point masses is proportional to the product of their masses and inversely proportional to the distance between them.

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Science>Physics>Gravitation>Newton’s Universal Law of Gravitation

How does the force of attraction between the two bodies depend upon their masses and distance between them? Rahul, a class IX student, thought that two bricks tied together would fall faster than a single one under the action of gravity. Do you agree with this hypothesis or not? Give reason for your answer.

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Science>Physics>Gravitation>Newton’s Universal Law of Gravitation

The gravitational force between two masses is F. If the distance between the masses is doubled, what will be the new force between them.

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Science>Physics>Gravitation>Newton’s Universal Law of Gravitation

The gravitational force between two objects is