Consider both masses as single system,so, as no Fext is acting.........therfore change in gravitational potential energy is equal to change in kinetic energy...........
now, change in gravitational potential energy is 200G. where G is universal gravitational constant
Let v1 and v2 be their velocity when their sepration is 0.5m
so, 10v12/2 + 20v22/2 = 200G---------------------------(1)
also, as fext =0, so, we can conserve momentum here..........
10v1=20v2 so, v1=2v2------------------------------------------------------------(2)
solving (1) and (2)
answer comes out to be v1= 4.22 X 10-5 m/s
v2= 2.11 X 10-5m/s
note:- here we have considered both masses as as single system,so, we can conserve momentum
Rate!!!!!!!!!!!! if sastisfied..................if anybody finds any mistake in it......pls nudge me I will glad to know that...........