Elastic Collisions

Classical Mechanics Level 1

Six identical balls are lined in a straight groove made on a horizontal, frictionless surface, as shown below. Two similar balls each moving with velocity \(v\) collide with the row of 6 balls from left.

What will happen after the collision, if the collisions are perfectly elastic?

Two balls from the right roll out with speed \(v\) each and the remaining balls remain stationary One ball from the right rolls out with speed \(2v\) and the remaining balls remain at rest All six balls roll out with speed \(\frac v6\) each and the two colliding balls come to rest One ball from left rolls back with the same speed \(v\) and one from right rolls forward with \(v\)

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