A thin ring of mass \( 2 \mathrm{~kg} \) and radius \( 0.5 \mathrm{~m} \) is rolling without sli...
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1A thin ring of mass \( 2 \mathrm{~kg} \) and radius \( 0.5 \mathrm{~m} \) is rolling without slipping on a horizontal plane with velocity \( 1 \mathrm{~m} / \mathrm{s} \). A small ball of mass \( 0.1 \mathrm{~kg} \), moving with velocity \( 20 \mathrm{~m} / \mathrm{s} \) in the opposite direction, hits the ring at a height of \( 0.75 \mathrm{~m} \) and goes vertically up with velocity \( 10 \mathrm{~m} / \mathrm{s} \). Immediately after the collision
(1) the ring has pure rotation about its stationary
(2) the ring comes to a complete stop
(3) friction between the ring and the ground is to the left
(4) there is no friction between the ring and the ground
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