Question

The force f between two bodies is inversely proportional to the square of the distance between their centres. If f=2 and d=3 then find d when f=12

Answer 1

1.22

Explanation:

F =
`(k)/(d^2)`

2 =
`(k)/(3^2)`

2×9 =
`k\\`

18 =
`k\\`

`F`=
`(18)/(d^2)`

12 =
`(18)/(d^2)`

d =
`\sqrt(18)/(12)`

d ≈ 1.2247

d = 1.22