Question

Abc lie on equilatrral triangle system is releaesd from rest what is momentum when separation is a/2

Answer 1

Gravitational force acting on the particle A due to the particle B:

F1=G(m)(m)L2    =Gm2L2

Gravitational force acting on the particle A due to the particle C:

F2=G(m)(m)L2    =Gm2L2

Magnitudes of F1 and F2 are equal to each other.

Let F1=F2=F

Angle between F1 and F2 is θ = 60o

Net force acting on the particle A:

Fnet=F2+F2+2(F)(F)cos60o‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√       =3F2‾‾‾‾√