Distance between two bodies A and B is r. The gravitational force acting on them is inversely proportional to the square of distance. Gravitational force between them varies universally as the `4^(th)` power of distance then find the accleration of body A.

Explanation

`implies` According to inverse law of square of distance, the gravitational force between A and B is
`F = G(m_Am_B)/r^2" "...(1)`
`implies` Acceleration of body `a_A=F/m_A=(Gm_B)/r^2....(2)`
For second case :
`F. =G(m_Am_B)/r^4`
Acceleration of A `a._A=(F.)/m_A =(Gm_B)/r^4=1/r^2((Gm_B)/r^2)`
`:. a._A=(a_A)/r^2`