Question

Consider the following two statement-
[A] Linear momentum of a system of particle is zero
[B] kinetic energy of a system of particles is zero. Then

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

Answer 1

The correct option is A A does not imply B but B implies A

If KE = 0, then all velocities have to be zero(if non-massless particles),

thus, linear momentum =0.

But if linear momentum = 0, it can also mean objects are moving in opp. direction. Thus, velocities need not be 0, so KE not equal to 0.