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Two stars each of mass 'm' and radius 'R' approach each other to collide head-on. Initially the stars are at a distance r(>>R). Assuming their speeds to be negligible at this distance of seperation, the speed with which the stars collide is?

Asked by nasir.mirza 13th June 2018, 8:05 PM
Answered by Expert
Initially both the stars are having potential energy begin mathsize 12px style open vertical bar U close vertical bar space equals space G m squared over r end style, where r is the separation distance from centre of one star to centre of other star.
When they collide all the potential energy  is converted to kinetic energy , hence begin mathsize 12px style 1 half m space v squared space equals space G m squared over r space space o r space space space v space equals space square root of fraction numerator 2 G space m over denominator r end fraction end root end style
Answered by Expert 14th June 2018, 4:33 PM
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