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

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Question

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

Numerical
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Solution

From the relationship,

F = `(Gm_1m_2)/R^2`

If the mass of one object (say body 1) is doubled, then

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

F = `(2 xx Gm_1m_2)/R^2`

F = 2F

Thus, the gravitational force between the two objects gets doubled.

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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. (i) | Page 111

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