What is the magnitude of the gravitational force between the earth and a 1 kg object on its surface? (Mass of the earth is 6 × 1 0 24 kg , radius of the earth is 6.4 × 1 0 6 m and the gravitational constant is G = 6 . 7 × 10 - 11 N m 2 kg - 2 ).

As per the laws of gravitation, the gravitational force between two objects of masses M and m at a distance r from each other is given by: F = G M m r 2 The mass of earth be represented by M = 6 × 10 24 kg The mass of the object be represented by m = 1 kg Universal gravitational constant, G = 6 . 7 × 10 - 11 N m 2 kg - 2 Since the object is on the surface of the Earth, r = radius of the Earth = ( R ) r = R = 6 . 4 × 10 6 m F = G M m r 2 = 6.7 × 10 - 11 × 6 × 10 24 × 1 6.4 × 10 6 2 = 9.8 N

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SCIENCE TEXTBOOK FOR CLASS IX>Chapter 10 - Gravitation>Questions>Q 2

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Earn 100

You have a bag of cotton and an iron bar, each indicating a mass of $100 kg$ when measured on a weighing machine. In reality, one is heavier than other. Can you say which one is heavier and why?

Important Questions on Gravitation

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SCIENCE TEXTBOOK FOR CLASS IX>Chapter 10 - Gravitation>Exercises>Q 1

How does the force of gravitation between two objects change when the distance between them is reduced to half?

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SCIENCE TEXTBOOK FOR CLASS IX>Chapter 10 - Gravitation>Exercises>Q 2

Gravitational force acts on all objects in proportion to their masses. Why then, a heavy object does not fall faster than a light object?

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SCIENCE TEXTBOOK FOR CLASS IX>Chapter 10 - Gravitation>Exercises>Q 3

What is the magnitude of the gravitational force between the earth and a

1 kg

object on its surface? (Mass of the earth is

6 \times 1 0^{24}

kg

, radius of the earth is

6.4 \times 1 0^{6}

m

and the gravitational constant is

G = 6.7 \times 10^{- 11} N m^{2} {kg}^{- 2}

).

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SCIENCE TEXTBOOK FOR CLASS IX>Chapter 10 - Gravitation>Exercises>Q 4

The earth and the moon are attracted to each other by gravitational force. Does the earth attract the moon with a force that is greater or smaller or the same as the force with which the moon attracts the earth? Why?

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SCIENCE TEXTBOOK FOR CLASS IX>Chapter 10 - Gravitation>Exercises>Q 5

If the moon attracts the earth, why does the earth not move towards the moon?

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SCIENCE TEXTBOOK FOR CLASS IX>Chapter 10 - Gravitation>Exercises>Q 6

What happens to the force between two objects, if the mass of one object is doubled?

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