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soldi70 [24.7K]
3 years ago
8

If the distance between the center of two objects is quadrupled. The gravitational

Physics
1 answer:
Juliette [100K]3 years ago
6 0

Answer:

F' = F/16

Explanation:

The gravitational force between masses is given by :

F=G\dfrac{m_1m_2}{r^2}

If the distance between the center of two objects is quadrupled, r' = 4r

New force will be :

F'=G\dfrac{m_1m_2}{r'^2}\\\\F'=G\dfrac{m_1m_2}{(4r)^2}\\\\F'=\dfrac{Gm_1m_2}{16r^2}\\\\F'=\dfrac{1}{16}\times \dfrac{Gm_1m_2}{r^2}\\\\F'=\dfrac{F}{16}

So, the new force will change by a factor of 16.

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