Two objects are involved in an elastic collision. Which one of the following sta

Question

Two objects are involved in an elastic collision. Which one of the following statements concern this situation is false? a. The linear momentum of each object is the same before and after the collision. b. The magnitude of the force exerted by each object on the other object is equal. c. The total momentum of the system is conserved. d. The total kinetic energy before the collision is equal to the total kinetic energy after the collision. e. The relative of the two particles before the collision equals the negative of their relative velocity after the collision.

Explanation / Answer

First statement is wrong because the total momentum of the system remain constant throughout not the momentum of individual bodies. For example. Elastic collision between two equal masses when second body is at rest result in second body in motion and first body at rest. That means they interchange velocity.

Force are always in action reaction pairs.

Since there is no external force throughout process the momentum of the system will be conserved

The kinetic energy before and after the system is only equal bodies at the time of collision has energy in form of potential energy because of change in configuration. But the elastic bodies regain that energy. Hence kinetic energy is conserved

e=V2-V1/U1-U2 which is coefficient of restitution and in this case e=1.

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