Answer :

Suppose there are n particles in an isolated system. Then,



Now, in real vector space, Mass cannot be negative, and square of velocities can’t be negative too.


So, Kinetic energy zero means, all the masses and velocities are zero. Hence Linear momentum


must be zero too. So, B implies A (proved). Now, Linear momentum zero means, the velocities


may be in opposite direction or masses may change, so no such assumption can be taken. Hence,


A doesn’t imply B.

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