show that in a head on elastic collision between two balls of equal masses moving along a straight line the balls simply exchange their velocities
Answers
A collision is said to occur between two bodies, either if they collide against each other or if the path of one is affected by the force exerted by the other. The collisions between the particles are of two types.
(1)Elastic Collision: If there is no loss of kinetic energy during a collision then the collision is called elastic collision. In elastic collision the kinetic energy and the momentum is conserved.
Examples: Collision between subatomic particles , collision between glass balls etc.
(2)Inelastic collision: If there is loss of kinetic energy during a collision then the collision is called inelastic collision. In inelastic collisions the kinetic energy is not conserved.
Examples: Collision between two vehicles, Collision between a ball and floor.
As shown in figure consider two perfectly elastic body A and B of masses ${{m}_{1}}$ and ${{m}_{2}}$ moving along the same straight line with velocities ${{u}_{1}}$ and ${{u}_{2}}$ respectively. Let ${{u}_{1}}>{{u}_{2}}$. After some times the two bodies collide head-on and continue to move in the same direction with velocities ${{v}_{1}}$ and ${{v}_{2}}$ respectively. The two bodies will separate after collision if ${{v}_{1}}>{{v}_{2}}$.
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