Consider the following two statements: (A) Linear momentum of a system of particles is zero (B) Kinetic energy of a system of particles is zero Then\\
(1) $A$ does not imply $B$ and $B$ does not imply $A$\\
(2) $A$ implies $B$ but $B$ does not imply $A$\\
(3) $A$ does not imply $B$ but $B$ implies $A$\\
(4) $A$ implies $B$ and $B$ implies $A$