JEE Advanced · 2009 · 12 Apr 2009 · Paper 1 · Conservation of Momentum

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If the resultant of all the external forces acting on a system of particles is zero, then from an inertial frame, one can surely say that
  1. (A)linear momentum of the system does not change in time✓ Correct
  2. (B)kinetic energy of the system does not change in time
  3. (C)angular momentum of the system does not change in time
  4. (D)potential energy of the system does not change in time

Answer: (A)

Solution

When the net external force on a system is zero, by Newton's second law, , so the linear momentum is conserved. However, internal forces can still do work, changing kinetic energy. Angular momentum is conserved only if the net external torque is zero, which is not guaranteed by zero net force alone. Potential energy depends on the configuration and can change due to internal forces. Therefore, only the linear momentum is surely conserved.

JEE Advanced · 2009 · 12 Apr 2009 · Paper 1 · One or more correct options

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