Two stars each of mass M and radius R are approaching each other for a head-on collision They start - Physics - Gravitation

Question

Two stars each of mass M and radius R are approaching each other
for a head-on collision They start approaching each other when
their separation is r >> R If their speeds at this separation
are negligible, the speed v with which they collide would be :-
​Answer is - v = [Gm (1/2R - 1/r)]1/2

Pintu B. · Accepted Answer

Dear Student ,
Here is a link which will help you to get the answer

https://www meritnation
com/ask-answer/question/two-stars-each-of-one-solar-mass-2-1030-kg-are/gravitation/6299714
Regards

Two stars each of mass M and radius R are approaching each other for a head-on collision. They start approaching each other when their separation is r >> R. If their speeds at this separation are negligible, the speed v with which they collide would be :- ​Answer is - v = [Gm (1/2R - 1/r)]1/2

Two stars each of mass M and radius R are approaching each other for a head-on collision. They start approaching each other when their separation is r >> R. If their speeds at this separation are negligible, the speed v with which they collide would be :-
Answer is - v = [Gm (1/2R - 1/r)]^1/2