A particle that has zero momentum must also have zero kinetic energy.

Question

Quizplus · Accepted Answer

Kinetic energy is defined as 1/2mv^2, where m is the mass and v is the velocity of the particle. Since momentum is defined as p = mv (where p is the momentum), if the particle has zero momentum (p=0), then its velocity (v) must also be zero. Therefore, its kinetic energy (1/2mv^2) would be zero. Hence, a particle that has zero momentum must also have zero kinetic energy.

A Particle That Has Zero Momentum Must Also Have Zero