Engineering
Physics
Collision
Rolling
Question

A thin ring of mass 2 kg and radius 0.5 m is rolling without slipping on a horizontal plane with velocity 1 m/s. A small ball of mass 0.1 kg, moving with velocity 20 m/s in the opposite direction, hits the ring at a height of 0.75 m and goes vertically up with velocity 10 m/s. Immediately after the collision :

  

there is no friction between the ring and the ground.

the ring has pure rotation about its stationary CM

friction between the ring and the ground is to the left.

the ring comes to a complete stop.

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Solution

As no data is given about nature of horizontal plane.

*           The most appropriate answer to this question is (A,C), but because of ambiguity in language, IIT has declared [(A, C), (A)] as correct answer