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Concepts Of Physics MCQ Edition [Volume 1]PhysicsCentre of Mass, Linear momentum, Collision

Evaluate the following two statements concerning a system of particles: (A) The linear momentum of the system is zero. (B) The kinetic energy of the system is zero.

Options

  1. AB implies A, but A does not imply B
  2. BA does not imply B, and B does not imply A
  3. CA implies B, but B does not imply A
  4. DA implies B, and B implies A

Correct answer

A. B implies A, but A does not imply B

Step-by-step solution

The kinetic energy of a system of particles is given by K = 1 2 m_i v_i^2 . If the kinetic energy of the system is zero, i.e., K = 0 , then v_i = 0 for all particles since the kinetic energy of individual particles cannot be negative. If all particles are at rest, the linear momentum of the system P = m_i v _i must also be zero. Thus, statement B implies statement A. The linear momentum of a system is given by P = m_i v _i . If the linear momentum of the system is zero, it is possible that individual particles are

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