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What happens to the force between two objects, if the masses of both objects are doubled?

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Question

What happens to the force between two objects, if the masses of both objects are doubled?

Numerical
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Solution

If the masses of both the objects are doubled, then

F''' = `(G xx (2m_1) xx (2m_2))/R^2`

= `(4Gm_1m_2)/R^2`

= 4F

Thus, the gravitational force between the two objects becomes 4 times.

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Chapter 9: Gravitation - Exercises [Page 111]

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NCERT Science [English] Class 9
Chapter 9 Gravitation
Exercises | Q 6. (iii) | Page 111

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