what is the mathematical proof that the centre of mass is the smallest energy in a collision.
Hello Rushabh
There are many mathematical proofs for the centre of mass
As we know mass is the smallest particle and if we want to study motion, behaviour of a particle related to its gravitational properties you need to consider it as a point mass, so you can check the relations between collision and centre of mass to get the desired answer.
I hope it helps
 
																   
																 
								




 
                
             
                    
                 
								 
								 
								 
								 
								