are
approaching each other for a head on collision. When they are at a distance 
km,
their speeds are negligible. What is the speed with which they collide ? The
radius of each star is 
km.
Assume the stars to remain undisturbed until they collide. Use the known value
of G.
Answer:
Here, mass of each star, M = 
Initial distance between two stars,
0s
Initial
potential energy of the system
Total
K.E. of the stars 
where
is the
speed of stars with which they collide. When the stars are about to collide,
the distance ;; between their centres,
.'.
Final potential energy of two stars
Since,
gain in K.E. is at the cost of loss in RE.
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