Three identical balls 1 2 3 we are placed together at rest on a smooth...
From the question , If the balls are placed in an order of 4,3,2,1, then exchange of momentum takes place , as all balls are identical , the momentum of 4th balls exchanges with 3rd ball and 4th comes to rest..
In the same way , exchange of momentum takes place between 3 and 2 , 2 and 1, and at last ball 4 , 3 , 2 comes to rest and ball 1 move with velocity " u ".
Three identical balls 1 2 3 we are placed together at rest on a smooth...
Analysis of the Collision of Four Identical Balls
Initial State:
- Three identical balls (1, 2, 3) are at rest on a smooth horizontal surface.
- A fourth identical ball is moving with velocity u towards the first three balls.
Collision Scenario:
- The fourth ball collides head-on elastically with the first three balls.
Possible Outcomes:
1. Fourth ball comes to rest with second and third ball while first ball moves with velocity u: This outcome is not possible as momentum must be conserved in the collision.
2. Fourth ball comes to rest and other three move with speed u: In this scenario, momentum is conserved as the initial momentum of the fourth ball is transferred to the other three balls, causing them to move with speed u.
3. All the balls move together with speed u by 3: This outcome is also not possible as the fourth ball will transfer some of its momentum to the first three balls, causing them to move with a speed less than u.
4. All the balls move together with speed u by 4: This outcome is not possible as the fourth ball will transfer some of its momentum to the first three balls, causing them to move with a speed less than u.
Therefore, the correct outcome of the collision is that the fourth ball comes to rest and the other three balls move with speed u. This is because momentum is conserved in the collision, and the initial momentum of the fourth ball is transferred to the other three balls.
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