Rankers Physics
Topic: Laws of Motion
Subtopic: Linear Momentum and Second Law of Motion

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: 
A does not imply B and B does not imply A
A implies B but B does not imply A
A does not imply B but B implies A
A implies B and B implies A

Solution:

When kinetic energy of the system is zero, speed of objects will be zero so momentum will always be zero.

Whereas momentum being a vector quantity may be zero when directions of velocities cancel each other. so speed and kinetic energy may of may not be zero when momentum is zero

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