When the ball on the left is pulled to the side and released, it will swing back towards its equilibrium position. When it hits the ball on the right, which is initially at rest, the collision that occurs is a perfectly elastic collision (assuming no energy is lost and both balls have the same mass).
In an elastic collision between two objects of equal mass, when one object (the ball on the left) collides with another object at rest (the ball on the right), the ball on the left will come to a stop, and the ball on the right will move off with the same speed that the first ball had before the collision.
So, the correct outcome is:
- The ball on the left will stop.
- The ball on the right will swing to the right.
This results in the ball on the left coming to rest and the ball on the right moving out to the right.