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Exercises
1. How does the force of gravitation between two objects change
when the distance between them is reduced to half ?
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?
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 x 1024 kg and radius of the earth is 6.4 x 106 m.)
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?
5. If the moon attracts the earth, why does the earth not move
towards the moon?
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Answers
Answer:
1.How does the force of gravitation between two objects change when the distance between them is reduced to half? Ans. The force of gravitation between two objects is inversely proportional to the square of the distance between them therefore the gravity will become four times if distance between them is reduced to half.
2.Gravitational force acts on all objects in proportion to their masses. But a heavy object does not fall faster than a light object. This is because of the reason that Acceleration= Force/Mass or Force = Acceleration x Mass As force is directly proportional to mass, acceleration is constant for a body of any mass.
3.Therefore, gravitational force between the earth and an object is 9.77 N
4.According to the universal law of gravitation, two objects attract each other with equal force but in opposite direction. Therefore, the earth attracts the moon with the same force as the moon attracts the earth
5.The moon attracts the earth with the same gravitational force as the earth attracts the moon. ... Since the mass of earth is very large, the acceleration produced is negligible. Therefore, the earth does not move towards the moon
Explanation: