Newton's Law of GravitationHardQuestion 6205
Question
Three masses m are placed at vertices of equilateral triangle (side a). Gravitational force on one mass:
- AGm²/a²
- B√3 Gm²/a²Correct
- C2Gm²/a²
- D3Gm²/a²
Correct answer
√3 Gm²/a²
Explanation
Two forces each Gm²/a² at 60° to each other. Resultant = √(F²+F²+2F²cos60°) = F√3 = √3 Gm²/a².