conservation of momemtum in collision of two balls
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Answer:
Two balls with equal masses, m, and equal speed, v, engage in a head on elastic collision. What is the final velocity of each ball, in terms of m and v?
Though we could go through the formal application of the equations of linear momentum, it is easier to think about this problem conceptually. Since the balls of equal mass are moving at equal and opposite speeds, the total linear momentum of the system is zero. For linear momentum to be conserved after the collision, both balls must rebound with the same velocity. If one ball had more speed than the other, there would be a net linear momentum and our conservation principle would be invalid. Having established that both balls rebound with the same speed, we must find what that speed is. Since the collision is elastic, kinetic energy must be conserved. If the final velocity of each ball were more, or less, than its initial velocity, kinetic energy would not be conserved. Thus we can state that the final velocity of each ball is equal in magnitude and opposite in direction to their respective initial velocities.
Answer:
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