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Q.

A sphere ‘A’ moving with a speed ‘u’ and rotating with angular velocity ‘w’ makes head-on elastic collision with an identical stationery sphere ‘B’.  There is no friction between the surface ‘A’ and B,   neglect gravity_____(a)    ‘A’ will stop moving but continue to rotate with angular velocity ‘W’(b)   ‘B’ will move with speed ‘u’ without rotating.(c)    ‘B’will move with speed ‘u’ and rotate with an angular velocity ‘W’(d)    ‘A’ will come to rest and stop rotating.

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a

A & C

b

A & B

c

B & D

d

C & D

answer is A.

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Detailed Solution

elastic collision , velocity exchange if the colliding bodies are identical
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A sphere ‘A’ moving with a speed ‘u’ and rotating with angular velocity ‘w’ makes head-on elastic collision with an identical stationery sphere ‘B’.  There is no friction between the surface ‘A’ and B,   neglect gravity_____(a)    ‘A’ will stop moving but continue to rotate with angular velocity ‘W’(b)   ‘B’ will move with speed ‘u’ without rotating.(c)    ‘B’will move with speed ‘u’ and rotate with an angular velocity ‘W’(d)    ‘A’ will come to rest and stop rotating.