Question

Two equal mass objects are moving in a circular path with constant speed as shown in figure. After how many collisions they will again meet at A.

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Solution

The correct option is **C** 3

For elastic collision of equal mass objects, the velocities are interchanged.

⇒Object with speed v and 3v will cover 14th and 34th of the total distance, respectively.

Therefore following figures represent the velocity of masses after collision:-

First collision:

Second collision:

Third collision:

Fourth collision will be at A, when they meet at A. So, the exchange of velocities after they collide at A is shown as:

Therefore, the masses meet at A after 3 collisions from beginning.

For elastic collision of equal mass objects, the velocities are interchanged.

⇒Object with speed v and 3v will cover 14th and 34th of the total distance, respectively.

Therefore following figures represent the velocity of masses after collision:-

First collision:

Second collision:

Third collision:

Fourth collision will be at A, when they meet at A. So, the exchange of velocities after they collide at A is shown as:

Therefore, the masses meet at A after 3 collisions from beginning.

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