If the masses of two bodies are quadrupled and the distance between their centres is doubled, then how many times the force of gravitation between them will be changed ?

Explanation

`F_(1) = (Gm_(1)m_(2))/(r^(2))`
`F_(2) = (Gm_(1)m_(2))/(R^(2))`
Here , `M_(1) = 4m , M_(2) = 4m_(2) and R = 2r`
` :. " " F_(2) = (G(4m_(1))(4m_(2)))/((2r)^(2))`
` =(16Gm_(1)m_(2))/(4r^(2))`
` :. " " F_(2) = 4F_(1)`
Hence , the gravitational force will increase to four times the intial magnitude .