Question

A central particle M is surrounded by a square array of other particles, separated by either distanced or distance d/2 along the perimeter o the square. The magnitude of the gravitational force on the central particle due to the other particles is ______.

Options

• `(9  "GMm")/"d"^2`

• `(5  "GMm")/"d"^2`

• `(3  "GMm")/"d"^2`

• `"GMm"/"d"^2`

Answer 1

A central particle M is surrounded by a square array of other particles, separated by either distanced or distance d/2 along the perimeter o the square. The magnitude of the gravitational force on the central particle due to the other particles is `underlinebb((3  "GMm")/"d"^2)`.

Explanation:

F = `("GM"(3"m"))/"d"^2`

= `(3 "GMm")/"d"^2`