JAMB - Physics (2024 - No. 63)

The gravitational force between two objects is 10N, what is the new value of the force if the distance between them is halved? 
10N
20N
40N
80N

Explanation

Gravitational force Fg = \(\frac{Gm_1m_2}{r^2}\)

Fg = 10N

distance = \(\frac{r}{2}\)

F'g =  \(\frac{Gm_1m_2}{(\frac{r}{2})^2}\) = 4 (\(\frac{Gm_1m_2}{r^2}\)) = 4Fg = 4 x 10 = 40N

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