three-asteroids-a1-a2-and-a3-are-orbiting-around-a-star-having-a-radius-of-r-ast

Question

Three asteroids A₁, A₂ and A₃ are orbiting around a star having a radius of r. Asteroid A₁has a mass of M, A₂ has a mass of 3M and A₃ has a mass of 4M. Calculate the force experienced by A₂ and A₃ if the force on A₁ is 15000 N. It is known that A₁ completes the orbit in 290 minutes.

Diagram showing three asteroids A1, A2, A3 orbiting a star with their respective masses and distances.

Accepted Answer

F_A2 = 20000 N, F_A3 = 15000 N

Answer

F_A2 = 4500 N, F_A3 = 7000 N

Answer

F_A2 = 15000 N, F_A3 = 20000 N

Answer

F_A2 = 7000 N, F_A3 = 4500 N