True orFalse: 1. The velocity of the center of mass of asystem changes only when

Question

True orFalse: 1. The velocity of the center of mass of asystem changes only when there is a net external force on thesystem. 2. For the total linearmomentum of a system to be conserved, there must be no externalforces acting on the system. 3. The total linear momentum of a system may be conserved even whenthe mechanical energy of the system is not. True orFalse: 1. The velocity of the center of mass of asystem changes only when there is a net external force on thesystem. 2. For the total linearmomentum of a system to be conserved, there must be no externalforces acting on the system.

Explanation / Answer

1. True : The only way velocity changes is through acceleration,and there is no acceleration without force. 2. True: External force will change the velocity component of themomentum. 3. False: Momentum can be conserved without Kinetic Energy beingconserved, however Mechanical Energy includes the conversion ofKinetic to Potential Energy, and therefore must be conserved unlessthere are external forces.

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