Work, Power and EnergyHard

Question

Consider the following two statements.
(1) Linear momentum of a system of particles is zero.
(2) Kinetic energy of system of particles is zero.

Options

A.A does not imply B and B does not imply A.
B.A implies B but B does not imply A
C.A does not imply B but B implies A
D.A implies B and B implies A.

Solution

MV = 0 (for an isolated system of two particle of same mass but opposite velocity )
But 1/2MV2 = 0 Implies V= 0   as ENERGY IS NOT VECTOR

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