A system is observed for different types of processes. List-I has the various effects possible during the process. List-II describes types of systems undergoing different processes. Match the effects

Question

A system is observed for different types of processes. List-I has the various effects possible during the process. List-II describes types of systems undergoing different processes. Match the effects in List-I with the related systems in List-II.

List - I	List - II
(I) Position of center of mass of the system remains fixed.	(P) Two bodies of masses m and M moving uniformly in same direction on a smooth surface.
(II) Velocity of center of mass of the system remains constant.	(Q) A moving body of finite mass have elastic head on collision with another identical body which is initially at rest.
(III) Momentum of system remains constant.	(R) Two perfectly elastic balls of equal mass, equal speed but moving in opposite directions collides head on with each other.
(IV) Kinetic energy of system remains constant.	(S) Two balls of unequal mass, same speed but moving in opposite directions collides head on with each other and stick together.
	(T) A flat bed cart of mass M has an initial velocity u , along a smooth horizontal surface. Snow is falling vertically with negligible speed and depositing on cart at $m kg / sec$ . Assume falling snow and cart both as a system.

TestHub · Accepted Answer

Position of COM remains fixed when v CM ​ = 0& F ext ​ = 0 this is happening only in case 3 of list-II. P system ​ and V cm ​ = constant, when F ext ​ = 0 this is happening in all cases of list-II KE will be constant only in case-I of list because there is no work done by any external or internal forces during the process.

Physics - Center of Mass Question with Solution | TestHub

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