Two small bodies of masses 10 kg and 20 kg are kept a distance of 1.0 m apart and released. Assuming that only mutual gravitational forces are acting, find the speed of particles when the separation decreases to 0.5 m.
The mass of bodies is  and
 and  .
.
Initial separation, 
Final separation, 
Initial velocity,  ,
, 
Let the final velocity be  ,
,  .
.
From momentum conservation 

Here, we will apply the conservation of energy, 




Therefore, 