Two particles of mass `m` and M are initialljy at rest at infinite distance. Find their relative velocity of approach due to gravitational attraction when `d` is their separation at any instant

Two particle of mass m and M are initially at rest at inifinte distance . Find their relative velocity of approch due to grvitational atraction when d is their separation at any instant . [Hint : From the principle of conservation of energy (GmM)/(d) =(1)/(2)mv_(1)^(2) +(1)/(2)v_(2)^(2). . From the principle of conservationl of momentum , mv_(1)-Mv_(2)=0 . Relative velocity of approch = V_(1)+V_(2) ]

Two particles m_(1) and m_(2) are initially at rest at infinite distance. Find their relative velocity of approach due to gravitational attraction when their separation is d.

Two particles of mass 'm' and 3 m are initially at rest an infinite distance apart. Both the particles start moving due to gravitational attraction. At any instant their relative velocity of approach is sqrt((ne Gm)/d where 'd' is their separation at that instant. Find ne.

Two particles of masses m and M are initially at rest at an infinite distance apart. They move towards each other and gain speeds due to gravitational attraction. Find their speeds when the separation between the masses becomes equal to d.

Two particles of masses m and M are initially at rest at an infinite distance part. They move towards each other and gain speeds due to gravitational attracton. Find their speeds when the separation between the masses becomes equal to d .